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Arnol'd, Vladimir Igorevich
(1937–2010)

Statistics
in MathSciNet: 393 (310)
in zbMATH: 292 (247)
in Web of Science: 111 (81)
in Scopus: 123 (105)
Arnol'd, Vladimir Igorevich
Full member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences (1963)
Birth date: 12.06.1937
Website: https://www.mi.ras.ru/~arnold

Subject:

Dynamical Systems, Differential Equations, Hydrodynamics, Magnetohydrodynamics, Classical and Celestial Mechanics, Geometry, Topology, Algebraic Geometry, Symplectic Geometry, Singularity Theory.

Biography

Education
1954–1961 Faculty of Mechanics and Mathematics, Lomonosov University, Moscow, U.S.S.R.
1961 Candidate Phys.-Math Sci. at the Institute of Applied Mathematics, Moscow
1963 Ph.D., Institute of Applied Mathematics, Moscow

Positions
1961–1965 Assistant, Faculty of Mechanics and Mathematics, Lomonosov University, Moscow
1965–1986 Professor, Faculty of Mechanics and Mathematics, Lomonosov University, Moscow
1986 — Steklov Institute of Mathematics, Moscow
1993 — CEREMADE, University Paris-Dauphine
1995–1998 Vice-President, International Mathematical Union
1998–2000 President Moscow Mathematical Society
1999–2002 Member of the Executive Committee International Mathematical Union

Selected Awards, Honours and Distinctions
1958 Award of the Mathematical Society of Moscow
1965 Lenin Award of the Government of the U.S.S.R.
1976 Honorary Member, London Mathematical Society
1979 Honorary Doctor, University P. and M. Curie, Paris
1982 Carfoord Award of the Swedish Academy
1983 Foreign Member, National Academy, U.S.A.
1984 Foreign Member, Academy of Sciences, Paris
1987 Foreign Member, Academy of Arts and Sciences, U.S.A.
1988 Honorary Doctor, Warwick University, Coventry
1988 Foreign Member, Royal Soc. London, GB
1988 Foreign Member, Accademia Nazionale dei Lincei, Rome, Italy
1990 Member, Academy of Sciences, Russia
1990 Foreign Member, American Philosophical Society
1991 Honorary Doctor, Utrecht
1991 Honorary Doctor, Bologna
1991 Member, Academy of Natural Sciences, Russia
1991 Member, Academia Europaea
1992 Lobachevsky Prize of Russian Academy of Sciences
1994 Harvey Prize Technion Award
1994 Honorary Doctor, University of Madrid, Complutense
1997 Honorary Doctor, University of Toronto, Canada

   
Main publications:
  1. V. I. Arnol'd, “Small denominators and problems of stability of motion in classical and celestial mechanics”, Uspehi Mat. Nauk, 18:6(114) (1963), 91–192  mathnet  mathscinet  zmath; Russian Math. Surveys, 18:6 (1963), 85–191  crossref
  2. V. I. Arnol'd, “On the nonstability of dynamical systems with many degrees of freedom”, Dokl. Akad. Nauk SSSR, 156:1 (1964), 9–12 (Russian)  mathscinet  zmath
  3. V. Arnold, “Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits”, Ann. Inst. Fourier (Grenoble), 16:1 (1966), 319–361  mathscinet  zmath
  4. V. I. Arnol'd, “Distribution of ovals of the real plane of algebraic curves, of involutions of four-dimensional smooth manifolds, and the arithmetic of integer-valued quadratic forms”, Funkcional. Anal. i Priložen., 5:3 (1971), 1–9  mathnet  mathscinet  zmath; Funct. Anal. Appl., 5:3 (1971), 169–176  crossref
  5. V. I. Arnol'd, Singularities of caustics and wave fronts, Math. Appl. (Soviet Ser.), 62, Kluwer Academic Publishers Group, Dordrecht, 1990, xiv+259 pp.  mathscinet  zmath

https://www.mathnet.ru/eng/person4874
https://ru.wikipedia.org/wiki/Arnold,_Vladimir_Igorevich
List of publications on Google Scholar
https://zbmath.org/authors/ai:arnold.vladimir-igorevich
https://mathscinet.ams.org/mathscinet/MRAuthorID/27275
https://elibrary.ru/author_items.asp?authorid=87

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1. V. I. Arnold, “Topological properties of eigenoscillations in mathematical physics”, Proc. Steklov Inst. Math., 273 (2011), 25–34  mathnet  crossref  mathscinet  zmath  isi  elib  elib
2. V. I. Arnold, “Complex Euler's groups and values of Euler’s function at complex integer Gauss points”, Funct. Anal. Other Math., 3:2 (2011), 169–178  crossref  mathscinet  zmath
3. V. I. Arnold, “Topological classification of Morse polynomials”, Proc. Steklov Inst. Math., 268 (2010), 32–48  mathnet  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
4. Vladimir I. Arnold, “Mathematics of chaos”, Mosc. Math. J., 10:2 (2010), 273–283  mathnet  crossref  mathscinet  isi  elib  scopus 3
5. V. I. Arnold, “Gibbs phenomenon for Fourier series on finite sets”, Funct. Anal. Other Math., 3:1 (2010), 91–96  crossref  mathscinet  zmath
6. V. I. Arnold, “Periods and Young's diagram of Fermat-Euler's geometrical progressions of residues”, Funct. Anal. Other Math., 3:1 (2010), 21–38  crossref  mathscinet  zmath
7. V. I. Arnol'd, “Are quadratic residues random?”, Regul. Chaotic Dyn., 15:4-5 (2010), 425–430  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 3
8. V. I. Arnol'd, “Are quadratic residues random?”, Nelin. Dinam., 6:3 (2010), 513–520  mathnet  elib
9. V. I. Arnold, “Random and algebraic permutations' statistics”, Funct. Anal. Other Math., 2:2-4 (2009), 247–248  crossref  mathscinet  zmath 1
10. V. I. Arnold, “Lengths of periods of continued fractions of square roots of integers”, Funct. Anal. Other Math., 2:2-4 (2009), 151–164  crossref  mathscinet  zmath 5
11. V. I. Arnold, “Empirical study of stochasticity for deterministic chaotical dynamics of geometric progressions of residues”, Funct. Anal. Other Math., 2:2-4 (2009), 139–149  crossref  mathscinet  zmath 10
12. V. I. Arnold, “Geometry of continued fractions associated with Frobenius numbers”, Funct. Anal. Other Math., 2:2-4 (2009), 129–138  crossref  mathscinet  zmath 8
13. V. I. Arnol'd, “Stochastic and deterministic statistics of orbits in chaotically looking dynamical systems”, Trans. Moscow Math. Soc., 2009, 31–69  crossref  mathscinet  zmath
14. V. I. Arnold, “Sur quelques problèmes de la théorie des systèmes dynamiques [On some problems of dynamical systems theory]”, Aspects des systèmes dynamiques, Ed. Éc. Polytech., Palaiseau, 2009, 205–221  mathscinet  zmath
15. V. I. Arnol'd, “Uniform distribution of non-divisible vectors in an integer space”, Izv. Math., 73:1 (2009), 21–29  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
16. V. I. Arnold, “Permutations”, Russian Math. Surveys, 64:4 (2009), 583–624  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
17. V. I. Arnold, “On additive semigroups starting parts”, Funct. Anal. Other Math., 2:1 (2008), 81–86  crossref  mathscinet  zmath
18. V. I. Arnold, “Statistics of the period lengths of the continued fractions for the eigenvalues of the integer matrices of order two”, Funct. Anal. Other Math., 2:1 (2008), 15–26  crossref  mathscinet  zmath 1
19. V. Arnold, “Orbits' statistics in chaotic dynamical systems”, Nonlinearity, 21:7 (2008), T109–T112  crossref  mathscinet  zmath  isi  scopus 21
20. V. I. Arnol'd, “Statistics of the periods of continued fractions for quadratic irrationals”, Izv. Math., 72:1 (2008), 1–34  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
21. V. I. Arnol'd, “To what extent are arithmetic progressions of fractional parts stochastic?”, Russian Math. Surveys, 63:2 (2008), 205–220  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
22. V. I. Arnold, “Topological classification of Morse functions and generalisations of Hilbert's 16-th problem”, Math. Phys. Anal. Geom., 10:3 (2007), 227–236  crossref  mathscinet  zmath  isi  elib  scopus 30
23. V. I. Arnol'd, “Arithmetical turbulence of selfsimilar fluctuations statistics of large Frobenius numbers of additive semigroups of integers”, Mosc. Math. J., 7:2 (2007), 173–193  mathnet  crossref  mathscinet  zmath  isi 10
24. V. I. Arnol'd, “Continued fractions of square roots of rational numbers and their statistics”, Russian Math. Surveys, 62:5 (2007), 843–855  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
25. V. I. Arnol'd, “Topological Classification of Trigonometric Polynomials Related to the Affine Coxeter Group $\widetilde A_2$”, Proc. Steklov Inst. Math., 258 (2007), 3–12  mathnet  crossref  mathscinet  zmath  zmath  elib  elib  scopus
26. V. I. Arnold, “Smooth functions statistics”, Funct. Anal. Other Math., 1:2 (2006), 111–118  crossref  mathscinet  zmath 10
27. V. I. Arnold, “Complexity of finite sequences of zeros and ones and geometry of finite spaces of functions”, Funct. Anal. Other Math., 1:1 (2006), 1–15  crossref  mathscinet 11
28. V. Arnold, “Statistics of the symmetric group representations as a natural science question on asymptotics of Young diagrams”, Representation theory, dynamical systems, and asymptotic combinatorics, Amer. Math. Soc. Transl. Ser. 2, 217, Amer. Math. Soc., Providence, RI, 2006, 1–7  mathscinet  zmath
29. V. I. Arnold, “Geometry and growth rate of Frobenius numbers of additive semigroups”, Math. Phys. Anal. Geom., 9:2 (2006), 95–108  crossref  mathscinet  zmath  isi  elib  scopus 13
30. V. I. Arnold, “On the matricial version of Fermat–Euler congruences”, Jpn. J. Math., 1:1 (2006), 1–24  crossref  mathscinet  zmath  isi  elib  scopus 10
31. V. I. Arnold, “From Hilbert's superposition problem to dynamical systems”, Mathematical events of the twentieth century, Springer, Berlin, 2006, 19–47  crossref  mathscinet 3
32. V. I. Arnol'd, “Statistics of Young diagrams of cycles of dynamical systems for finite tori automorphisms”, Mosc. Math. J., 6:1 (2006), 43–56  mathnet  crossref  mathscinet  zmath  isi 2
33. V. I. Arnol'd, “Forgotten and neglected theories of Poincaré”, Russian Math. Surveys, 61:1 (2006), 1–18  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
34. V. I. Arnol'd, “Statistics and classification of topologies of periodic functions and trigonometric polynomials”, Proc. Inst. Math. Mech., 253, suppl. 1 (2006), S13–S23  mathnet  crossref  mathscinet  zmath  elib  scopus
35. V. I. Arnold, “On the topology of the eigenfields”, Topol. Methods Nonlinear Anal., 26:1 (2005), 9–16  crossref  mathscinet  zmath  isi 3
36. V. I. Arnold, “The principle of topological economy in algebraic geometry”, Surveys in modern mathematics, London Math. Soc. Lecture Note Ser., 321, Cambridge Univ. Press, Cambridge, 2005, 13–23  mathscinet  isi
37. V. I. Arnold, “Mysterious mathematical trinities”, Surveys in modern mathematics, London Math. Soc. Lecture Note Ser., 321, Cambridge Univ. Press, Cambridge, 2005, 1–12  mathscinet
38. V. Arnold, “Number-theoretical turbulence in Fermat–Euler arithmetics and large Young diagrams geometry statistics”, J. Math. Fluid Mech., 7:suppl. 1 (2005), S4–S50  crossref  mathscinet  zmath  isi  scopus 10
39. V. Arnold, “Lobachevsky triangle altitudes theorem as the Jacobi identity in the Lie algebra of quadratic forms on symplectic plane”, J. Geom. Phys., 53:4 (2005), 421–427  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 11
40. V. I. Arnol'd, “Ergodic and arithmetical properties of geometrical progression's dynamics and of its orbits”, Mosc. Math. J., 5:1 (2005), 5–22  mathnet  crossref  mathscinet  zmath  isi 15
41. V. I. Arnold, A. A. Davydov, V. A. Vassiliev, V. M. Zakalyukin, “Mathematical models and control of catastrophic processes”, UNESCO Encyclopaedia of Life Support Systems, v. II, eds. V. I. Agoshkov, J.-P. Puel, EOLSS Publishers, Oxford, UK, 2005, 3–46 http://www.eolss.net/Sample-Chapters/C02/E6-03A-07-05.pdf  mathscinet
42. V. I. Arnol'd, “From Hilbert's superposition problem to dynamical systems”, Amer. Math. Monthly, 111:7 (2004), 608–624  crossref  mathscinet  zmath  isi  elib  scopus 5
43. V. I. Arnol'd, “Fermat Dynamics, Matrix Arithmetics, Finite Circles, and Finite Lobachevsky Planes”, Funct. Anal. Appl., 38:1 (2004), 1–13  mathnet  crossref  crossref  mathscinet  zmath  zmath  isi  elib  scopus
44. V. I. Arnol'd, “The matrix Euler–Fermat theorem”, Izv. Math., 68:6 (2004), 1119–1128  mathnet  crossref  crossref  mathscinet  zmath  zmath  isi  scopus
45. V. I. Arnol'd, “Geometry and dynamics of Galois fields”, Russian Math. Surveys, 59:6 (2004), 1029–1046  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  scopus
46. V. I. Arnol'd, “A. N. Kolmogorov and natural science”, Russian Math. Surveys, 59:1 (2004), 27–46  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
47. V. Arnold, “Arithmetics of binary quadratic forms, symmetry of their continued fractions and geometry of their de Sitter world”, Bull. Braz. Math. Soc. (N.S.), 34:1 (2003), 1–42  crossref  mathscinet  zmath  isi  scopus 22
48. V. I. Arnol'd, “The Topology of Algebra: Combinatorics of Squaring”, Funct. Anal. Appl., 37:3 (2003), 177–190  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
49. V. I. Arnol'd, “Fermat–Euler Dynamical Systems and the Statistics of Arithmetics of Geometric Progressions”, Funct. Anal. Appl., 37:1 (2003), 1–15  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
50. V. I. Arnol'd, “Frequent representations”, Mosc. Math. J., 3:4 (2003), 1209–1221  mathnet  crossref  mathscinet  zmath  isi 8
51. V. I. Arnol'd, “Topology and statistics of formulae of arithmetics”, Russian Math. Surveys, 58:4 (2003), 637–664  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  scopus
52. V. I. Arnold, “On a variational problem connected with phase transitions of means in controllable dynamical systems”, Nonlinear problems in mathematical physics and related topics, I, Int. Math. Ser. (N. Y.), 1, Kluwer/Plenum, New York, NY, 2002, 23–34  crossref  mathscinet  zmath  isi 4
53. V. I. Arnol'd, “The Longest Curves of Given Degree and the Quasicrystallic Harnack Theorem in Pseudoperiodic Topology”, Funct. Anal. Appl., 36:3 (2002), 165–171  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
54. V. I. Arnol'd, “Optimization in Mean and Phase Transitions in Controlled Dynamical Systems”, Funct. Anal. Appl., 36:2 (2002), 83–92  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
55. V. I. Arnol'd, “Pseudoquaternion Geometry”, Funct. Anal. Appl., 36:1 (2002), 1–12  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
56. V. I. Arnol'd, A. B. Givental', “Symplectic geometry”, Dynamical systems, IV, Encyclopaedia Math. Sci., 4, Springer, Berlin, 2001, 1–138  crossref  mathscinet 37
57. V. I. Arnol'd, “Complexification of Tetrahedron and Pseudo-Projective Transformations”, Funct. Anal. Appl., 35:4 (2001), 241–246  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
58. V. I. Arnol'd, “Lagrangian Grassmannian of a Quaternion Hypersymplectic Space”, Funct. Anal. Appl., 35:1 (2001), 61–63  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
59. V. I. Arnol'd, “Astroidal geometry of hypocycloids and the Hessian topology of hyperbolic polynomials”, Russian Math. Surveys, 56:6 (2001), 1019–1083  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
60. V. I. Arnol'd, “On A. N. Kolmogorov”, Kolmogorov in perspective, Hist. Math., 20, Amer. Math. Soc., Providence, RI, 2000, 89–108  mathscinet
61. V. Arnold, “Singularity theory”, Development of mathematics 1950–2000, Birkhäuser, Basel, 2000, 63–95  crossref  mathscinet  zmath 1
62. V. Arnold, “Dynamical systems”, Development of mathematics 1950–2000, Birkhäuser, Basel, 2000, 33–61  crossref  mathscinet  zmath 1
63. V. I. Arnold, “Symplectic geometry and topology”, J. Math. Phys., 41:6 (2000), 3307–3343  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 24
64. V. I. Arnold, “Polymathematics: is mathematics a single science or a set of arts?”, Mathematics: frontiers and perspectives, Amer. Math. Soc., Providence, RI, 2000, 403–416  mathscinet  zmath
65. V. Arnold, “Repartitioning the world”, Quantum, 10:3 (2000), 34–37  mathscinet
66. V. I. Arnol'd, “The Complex Lagrangian Grassmannian”, Funct. Anal. Appl., 34:3 (2000), 208–210  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
67. V. I. Arnol'd, “From Averaging to Statistical Physics”, Proc. Steklov Inst. Math., 228 (2000), 184–190  mathnet  mathscinet  zmath
68. V. I. Arnold, “First steps of local contact algebra”, Canad. J. Math., 51:6 (1999), 1123–1134  crossref  mathscinet  zmath  isi  elib  scopus 8
69. V. I. Arnold, “Topological problems in wave propagation theory and topological economy principle in algebraic geometry”, The Arnoldfest (Toronto, ON, 1997), Fields Inst. Commun., 24, Amer. Math. Soc., Providence, RI, 1999, 39–54  mathscinet  zmath
70. V. I. Arnold, “Symplectization, complexification and mathematical trinities”, The Arnoldfest (Toronto, ON, 1997), Fields Inst. Commun., 24, Amer. Math. Soc., Providence, RI, 1999, 23–37  mathscinet  zmath
71. V. I. Arnold, “From Hilbert's superposition problem to dynamical systems”, The Arnoldfest (Toronto, ON, 1997), Fields Inst. Commun., 24, Amer. Math. Soc., Providence, RI, 1999, 1–18  mathscinet  zmath
72. V. I. Arnold, “First steps of local symplectic algebra”, Differential topology, infinite-dimensional Lie algebras, and applications, Amer. Math. Soc. Transl. Ser. 2, 194, Amer. Math. Soc., Providence, RI, 1999, 1–8  mathscinet  zmath
73. V. I. Arnold, “Topologically necessary singularities on moving wavefronts and caustics”, Hamiltonian systems with three or more degrees of freedom (S'Agaró, 1995), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 533, Kluwer Acad. Publ., Dordrecht, 1999, 11–12  mathscinet  zmath
74. V. I. Arnol'd, “A mathematical trivium”, Translated from the Russian original [Uspekhi Mat. Nauk 46 (1991), no. 1(277), 225–232] by Jaak Peetre, Normat, 47:3 (1999), 111–121, 144  mathscinet
75. V. I. Arnol'd, “Weak Asymptotics for the Numbers of Solutions of Diophantine Problems”, Funct. Anal. Appl., 33:4 (1999), 292–293  mathnet  crossref  crossref  mathscinet  zmath  isi
76. V. I. Arnol'd, “Simple Singularities of Curves”, Proc. Steklov Inst. Math., 226 (1999), 20–28  mathnet  mathscinet  zmath
77. V. I. Arnol'd, “Topological Problems of the Theory of Asymptotic Curves”, Proc. Steklov Inst. Math., 225 (1999), 5–15  mathnet  mathscinet  zmath
78. V. I. Arnol'd, “Relatives of the Quotient of the Complex Projective Plane by the Complex Conjugation”, Proc. Steklov Inst. Math., 224 (1999), 46–56  mathnet  mathscinet  zmath
79. V. I. Arnol'd, “Mathematics and physics: mother and daughter or sisters?”, Phys. Usp., 42:12 (1999), 1205–1217  mathnet  crossref  crossref  adsnasa  isi  elib  scopus  scopus
80. V. Arnold, “Problèmes mathématiques de l'hydrodynamique et de la magnétohydrodynamique”, Trois applications des mathématiques, SMF Journ. Annu., 1998, Soc. Math. France, Paris, 1998, 39–50  mathscinet  zmath
81. V. I. Arnold, “Higher-dimensional continued fractions”, Regul. Chaotic Dyn., 3:3 (1998), 10–17  mathnet  crossref  mathscinet  zmath  elib  scopus 28
82. V. Arnold, “On the problem of realization of a given Gaussian curvature function”, Topol. Methods Nonlinear Anal., 11:2 (1998), 199–206  crossref  mathscinet  zmath 8
83. V. I. Arnold, ““Hard” and “soft” mathematical models”, Butl. Soc. Catalana Mat., 13:1 (1998), 7–26  mathscinet
84. V. I. Arnol'd, “Towards the Legendre Sturm Theory of Space Curves”, Funct. Anal. Appl., 32:2 (1998), 75–80  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
85. V. I. Arnol'd, “Singularities of Fractions and Behavior of Polynomials at Infinity”, Proc. Steklov Inst. Math., 221 (1998), 40–59  mathnet  mathscinet  zmath
86. V. Arnold, “Topological classification of real trigonometric polynomials and cyclic serpents polyhedron”, The Arnold–Gelfand mathematical seminars, Birkhäuser Boston, Boston, MA, 1997, 101–106  crossref  mathscinet  zmath 12
87. V. Arnold, H. Kalf, A. Schneider, “Separated Dirac operators and asymptotically constant linear systems”, Math. Proc. Cambridge Philos. Soc., 121:1 (1997), 141–146  crossref  mathscinet  zmath  isi  elib  scopus 7
88. V. I. Arnol'd, “Remarks on the Parabolic Curves on Surfaces and on the Higher-Dimensional Möbius–Sturm Theory”, Funct. Anal. Appl., 31:4 (1997), 227–239  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
89. V. I. Arnol'd, “Remarks on the Morse theory of a divergence-free vector field, the averaging method, and the motion of a charged particle in a magnetic field”, Proc. Steklov Inst. Math., 216 (1997), 3–13  mathnet  mathscinet  zmath
90. V. I. Arnol'd, “Mathematics and Mathematical Education in Contemporary World”, Math. Ed., 1997, no. 2, 109–112  mathnet
91. V. Arnold, “Topological content of the Maxwell theorem on multipole representation of spherical functions”, Topol. Methods Nonlinear Anal., 7:2 (1996), 205–217  crossref  mathscinet  zmath 14
92. V. I. Arnold, “Remarks on the extactic points of plane curves”, The Gelfand Mathematical Seminars, 1993–1995, Gelfand Math. Sem., Birkhäuser Boston, Boston, MA, 1996, 11–22  mathscinet  zmath
93. V. I. Arnold, “Remarks on the enumeration of plane curves”, Topology of real algebraic varieties and related topics, Amer. Math. Soc. Transl. Ser. 2, 173, Amer. Math. Soc., Providence, RI, 1996, 17–32  mathscinet  zmath  adsnasa
94. V. Arnol'd, “On the number of flattening points on space curves”, Sinaĭ's Moscow Seminar on Dynamical Systems, Amer. Math. Soc. Transl. Ser. 2, 171, Amer. Math. Soc., Providence, RI, 1996, 11–22  mathscinet  zmath
95. V. I. Arnol'd, “Topological Classification of Trigonometric Polynomials and Combinatorics of Graphs with an Equal Number of Vertices and Edges”, Funct. Anal. Appl., 30:1 (1996), 1–14  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
96. V. I. Arnol'd, “Topological problems of the theory of wave propagation”, Russian Math. Surveys, 51:1 (1996), 1–47  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
97. V. I. Arnol'd, “Some remarks on symplectic monodromy of Milnor fibrations”, The Floer memorial volume, Progr. Math., 133, Birkhäuser, Basel, 1995, 99–103  mathscinet  zmath
98. V. I. Arnol'd, “Sur les propriétés topologiques des projections lagrangiennes en géométrie symplectique des caustiques”, Rev. Mat. Univ. Complut. Madrid, 8:1 (1995), 109–119  mathscinet  zmath
99. V. I. Arnol'd, “Remarks on eigenvalues and eigenvectors of Hermitian matrices, Berry phase, adiabatic connections and quantum Hall effect”, Selecta Math. (N.S.), 1:1 (1995), 1–19  crossref  mathscinet  zmath  elib  scopus 48
100. V. I. Arnol'd, “Invariants and perestroikas of plane fronts”, Proc. Steklov Inst. Math., 209 (1995), 11–56  mathnet  mathscinet  zmath
101. V. I. Arnol'd, “The geometry of spherical curves and the algebra of quaternions”, Russian Math. Surveys, 50:1 (1995), 1–68  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
102. V. I. Arnol'd, “Sur quelques problèmes de la théorie des systèmes dynamiques”, Topol. Methods Nonlinear Anal., 4:2 (1994), 209–225  crossref  mathscinet  zmath 10
103. V. I. Arnol'd, “The Vassiliev theory of discriminants and knots”, First European Congress of Mathematics (Paris, 1992), v. I, Progr. Math., 119, Birkhäuser, Basel, 1994, 3–29  mathscinet  zmath
104. V. I. Arnol'd, “Plane curves, their invariants, perestroikas and classifications”, Singularities and bifurcations, Adv. Soviet Math., 21, Amer. Math. Soc., Providence, RI, 1994, 33–91  mathscinet  zmath  adsnasa
105. V. I. Arnol'd, “Mathematical problems in classical physics”, Trends and perspectives in applied mathematics, Appl. Math. Sci., 100, Springer, New York, 1994, 1–20  crossref  mathscinet  zmath 12
106. V. I. Arnol'd, “Topological properties of Legendre projections in contact geometry of wave fronts”, St. Petersburg Math. J., 6:3 (1995), 439–452  mathnet  mathscinet  zmath
107. V. Arnol'd, “Problems on singularities and dynamical systems”, Developments in mathematics: the Moscow school, Chapman & Hall, London, 1993, 251–274  mathscinet  zmath
108. V. I. Arnol'd, “Bounds for Milnor numbers of intersections in holomorphic dynamical systems”, Topological methods in modern mathematics (Stony Brook, NY, 1991), Publish or Perish, Houston, TX, 1993, 379–390  mathscinet  zmath
109. V. I. Arnol'd, V. V. Kozlov, A. I. Neĭshtadt, “Mathematical aspects of classical and celestial mechanics”, Dynamical systems, III, Encyclopaedia Math. Sci., 3, Springer, Berlin, 1993, vii–xiv and 1–291  mathscinet  adsnasa
110. V. I. Arnol'd, B. A. Khesin, “Topological methods in hydrodynamics”, Annual review of fluid mechanics, v. 24, Annual Reviews, Palo Alto, CA, 1992, 145–166  crossref  mathscinet  zmath  adsnasa  scopus 69
111. V. I. Arnol'd, “Springer numbers and Morsification spaces”, J. Algebraic Geom., 1:2 (1992), 197–214  mathscinet  zmath
112. V. I. Arnol'd, “Poly-integrable flows”, St. Petersburg Math. J., 4:6 (1993), 1103–1110  mathnet  mathscinet  zmath
113. V. I. Arnol'd, “Congruences for Euler, Bernoulli, and Springer numbers of Coxeter groups”, Russian Acad. Sci. Izv. Math., 41:2 (1993), 389–393  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
114. V. I. Arnol'd, “The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups”, Russian Math. Surveys, 47:1 (1992), 1–51  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
115. V. I. Arnol'd, “Cardiac arrhythmias and circle mappings”, Chaos, 1:1 (1991), 20–24  crossref  mathscinet  zmath  adsnasa  isi  scopus 43
116. V. I. Arnol'd, “Kolmogorov's hydrodynamic attractors”, Proc. Roy. Soc. London Ser. A, 434:1890 (1991), 19–22  crossref  mathscinet  zmath  adsnasa  isi 47
117. V. I. Arnol'd, “Bernoulli–Euler updown numbers associated with function singularities, their combinatorics and arithmetics”, Duke Math. J., 63:2 (1991), 537–555  crossref  mathscinet  zmath  isi  scopus 32
118. V. I. Arnol'd, “Topological and ergodic properties of closed 1-forms with incommensurable periods”, Funct. Anal. Appl., 25:2 (2006), 81–90  mathnet  crossref  mathscinet  zmath  isi  scopus
119. V. I. Arnol'd, “Dynamics of complexity of intersections”, Bol. Soc. Brasil. Mat. (N.S.), 21:1 (1990), 1–10  crossref  mathscinet  zmath  scopus 79
120. V. I. Arnol'd, “Contact geometry and wave propagation”, Enseign. Math. (2), 36:3-4 (1990), 215–266  mathscinet  zmath
121. V. I. Arnol'd, “Contact geometry: the geometrical method of Gibbs's thermodynamics”, Proceedings of the Gibbs Symposium (New Haven, CT, 1989), Amer. Math. Soc., Providence, RI, 1990, 163–179  mathscinet
122. V. I. Arnol'd, “Ten problems”, Theory of singularities and its applications, Adv. Soviet Math., 1, Amer. Math. Soc., Providence, RI, 1990, 1–8  mathscinet
123. V. I. Arnol'd, “Dynamics of intersections”, Analysis, et cetera, Academic Press, Boston, MA, 1990, 77–84  crossref  mathscinet 8
124. V. I. Arnol'd, “Bifurcations and singularities in mathematics and mechanics”, Theoretical and applied mechanics (Grenoble, 1988), North-Holland, Amsterdam, 1989, 1–25  mathscinet
125. V. I. Arnol'd, V. A. Vasil'ev, “Newton's Principia read 300 years later”, Notices Amer. Math. Soc., 36:9 (1989), 1148–1154  mathscinet  zmath
126. V. I. Arnol'd, “$A$-graded algebras and continued fractions”, Comm. Pure Appl. Math., 42:7 (1989), 993–1000  crossref  mathscinet  zmath  isi  scopus 29
127. V. I. Arnol'd, “Spaces of functions with moderate singularities”, Funct. Anal. Appl., 23:3 (1989), 169–177  mathnet  crossref  mathscinet  zmath  isi  scopus
128. V. I. Arnol'd, V. A. Vassiliev, V. V. Goryunov, O. V. Lyashko, “Singularities. II. Classification and applications”, Dynamical systems – 8, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 39, VINITI, Moscow, 1989, 5–249 , 256 pp.  mathnet  mathscinet  zmath
129. V. I. Arnol'd, M. I. Vishik, Yu. S. Ilyashenko, A. S. Kalashnikov, V. A. Kondrat'ev, S. N. Kruzhkov, E. M. Landis, V. M. Millionshchikov, O. A. Oleinik, A. F. Filippov, M. A. Shubin, “Some unsolved problems in the theory of differential equations and mathematical physics”, Russian Math. Surveys, 44:4 (1989), 157–171  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
130. V. I. Arnol'd, “On the interior scattering of waves, defined by hyperbolic variational principles”, J. Geom. Phys., 5:3 (1988), 305–315  crossref  mathscinet  zmath  adsnasa  scopus 14
131. V. I. Arnol'd, “Remarks on quasicrystallic symmetries”, Phys. D, 33:1–3 (1988), 21–25  crossref  mathscinet  zmath  isi  elib  scopus 27
132. Siberian Math. J., 29:5 (1988), 717–726 (1989)  mathnet  crossref  mathscinet  mathscinet  zmath  zmath  isi  isi  scopus
133. V. I. Arnol'd, “On some problems in symplectic topology”, Topology and geometry – Rohlin Seminar, Lecture Notes in Math., 1346, Springer, Berlin, 1988, 1–5  crossref  mathscinet  isi 10
134. V. I. Arnol'd, “Contact structure, relaxation oscillations and singular points of implicit differential equations”, Global analysis – studies and applications, III, Lecture Notes in Math., 1334, Springer, Berlin, 1988, 173–179  crossref  mathscinet  isi 7
135. V. I. Arnol'd, Yu. S. Il'yashenko, “Ordinary differential equations”, Translated from the Russian by E. R. Dawson and D. O'Shea, Dynamical systems, I, Encyclopaedia Math. Sci., 1, Springer, Berlin, 1988, 1–148  mathscinet
136. V. I. Arnol'd, V. A. Vassiliev, V. V. Goryunov, O. V. Lyashko, “Singularities. I. Local and global theory”, Dynamical systems – 6, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 6, VINITI, Moscow, 1988, 5–250  mathnet  mathscinet
137. V. I. Arnol'd, “Surfaces defined by hyperbolic equations”, Math. Notes, 44:1 (1988), 489–497  mathnet  crossref  mathscinet  zmath  isi  scopus
138. V. I. Arnol'd, “A few words on Andrei Nikolaevich Kolmogorov”, Russian Math. Surveys, 43:6 (1988), 43–44  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
139. V. I. Arnol'd, “Three hundred years of mathematical natural sciences and celestial mechanics”, Fiz.-Mat. Spis. B"lgar. Akad. Nauk., 30(63):3 (1988), 181–190  mathscinet  mathscinet  adsnasa
140. J. Soviet Math., 47:3 (1989), 2509–2516  crossref  mathscinet  zmath  scopus
141. V. I. Arnold, “Kontaktnaya struktura, relaksatsionnye kolebaniya i osobye tochki neyavnykh differentsialnykh uravnenii”, Geometriya i teoriya osobennostei v nelineinykh zadachakh, Novoe v globalnom analize, VGU, Voronezh, 1987, 3–8  mathscinet
142. V. Arnol'd, “First steps of symplectic topology”, VIIIth international congress on mathematical physics (Marseille, 1986), World Sci. Publ., Singapore, 1987, 1–16  mathscinet
143. Siberian Math. J., 28:4 (1987), 540–542  mathnet  crossref  mathscinet  mathscinet  zmath  zmath  isi  isi  scopus
144. V. I. Arnol'd, “The asymptotic Hopf invariant and its applications”, Selecta Math. Soviet., 5:4 (1986), 327–345  mathscinet  zmath
145. V. I. Arnol'd, “Hyperbolic polynomials and Vandermonde mappings”, Funct. Anal. Appl., 20:2 (1986), 125–127  mathnet  crossref  mathscinet  zmath  isi  scopus
146. V. I. Arnol'd, “Catastrophe theory”, Dynamical systems – 5, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 5, VINITI, Moscow, 1986, 219–277  mathnet  mathscinet  zmath
147. V. I. Arnol'd, V. S. Afraimovich, Yu. S. Ilyashenko, L. P. Shilnikov, “Bifurcation theory”, Dynamical systems – 5, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 5, VINITI, Moscow, 1986, 5–218  mathnet  mathscinet  zmath
148. V. I. Arnol'd, “First steps in symplectic topology”, Russian Math. Surveys, 41:6 (1986), 1–21  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
149. V. I. Arnol'd, “Singularities, bifurcations and catastrophes”, Fiz.-Mat. Spis. B"lgar. Akad. Nauk., 27(60):1 (1985), 25–48 (Bulgarian)  mathscinet  zmath
150. V. I. Arnol'd, “The Sturm theorems and symplectic geometry”, Funct. Anal. Appl., 19:4 (1985), 251–259  mathnet  crossref  mathscinet  zmath  isi  scopus
151. V. I. Arnol'd, A. B. Givental', “Symplectic geometry”, Dynamical systems – 4, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 4, VINITI, Moscow, 1985, 5–135  mathnet  mathscinet
152. V. I. Arnol'd, Yu. S. Ilyashenko, “Ordinary differential equations”, Encyclopaedia Math. Sci., 1 (1988), 1–148  mathnet  mathscinet  zmath  zmath
153. V. I. Arnold, “Ob evolyutsii magnitnogo polya pod deistviem perenosa i diffuzii”, Nekotorye voprosy sovremennogo analiza, Izd-vo MGU, M., 1984, 8–21  mathscinet
154. V. I. Arnold, “Exponential scattering of trajectories and its hydrodynamic applications”, N. E. Kochin i razvitie mekhaniki, Nauka, M., 1984, 185–193  mathscinet
155. V. I. Arnol'd, “Reversible systems”, Nonlinear and turbulent processes in physics (Kiev, 1983), v. 3, Harwood Academic Publ., Chur, 1984, 1161–1174  mathscinet  adsnasa
156. V. I. Arnol'd, “Singularities of ray systems”, Proceedings of the International Congress of Mathematicians (Warsaw, 1983), v. 1, 2, PWN, Warsaw, 1984, 27–49  mathscinet
157. V. I. Arnol'd, A. N. Varchenko, A. B. Givental', A. G. Khovanskiĭ, “Singularities of functions, wave fronts, caustics and multidimensional integrals”, Mathematical physics reviews, v. 4, Soviet Sci. Rev. Sect. C Math. Phys. Rev., 4, Harwood Academic Publ., Chur, 1984, 1–92  mathscinet
158. V. I. Arnol'd, “Some remarks on elliptic coordinates”, Differential geometry, Lie groups and mechanics, VI, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 133, 1984, 38–50  mathnet  mathscinet  zmath 1
159. V. I. Arnold, A. N. Parshin, “Kommentarii k rabote: G. Veil. Asimptoticheskii zakon raspredeleniya chastot sobstvennykh kolebanii uprugikh tel proizvolnoi formy”: G. Veil, Izbrannye trudy, Klassiki nauki, Nauka, M., 1984, 446–449
160. V. I. Arnol'd, “Vanishing inflections”, Funct. Anal. Appl., 18:2 (1984), 128–130  mathnet  crossref  mathscinet  zmath  isi  scopus
161. V. I. Arnold, “Problems on the frontier of mathematical research”, Outlines of the development of mathematics in the USSR, Naukova dumka, Kiev, 1983, 421–426  mathscinet
162. V. I. Arnol'd, “Singularities, bifurcations and catastrophes”, Soviet Phys. Uspekhi, 26:12 (1983), 1025–1037  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  scopus
163. V. I. Arnol'd, “Some open problems in the theory of singularities”, Singularities, Part 1 (Arcata, CA, 1981), Proc. Sympos. Pure Math., 40, Amer. Math. Soc., Providence, RI, 1983, 57–69  crossref  mathscinet 6
164. V. I. Arnol'd, “Some algebro-geometrical aspects of the Newton attraction theory”, Arithmetic and geometry, v. II, Progr. Math., 36, Birkhäuser Boston, Boston, MA, 1983, 1–3  mathscinet
165. V. I. Arnol'd, “Singularities in the calculus of variations”, J. Soviet Math., 27:3 (1984), 2679–2713  mathnet  crossref  mathscinet  zmath  zmath  scopus
166. V. I. Arnol'd, “Remarks on the perturbation theory for problems of Mathieu type”, Russian Math. Surveys, 38:4 (1983), 215–233  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
167. V. I. Arnol'd, “Singularities of systems of rays”, Russian Math. Surveys, 38:2 (1983), 87–176  mathnet  crossref  mathscinet  zmath  zmath  adsnasa  isi  scopus
168. V. I. Arnol'd, E. I. Korkina, “Growth of the magnetic field in three-dimensional steady flow of incompressible fluid”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3, 43–46  mathnet  zmath
169. V. I. Arnold, “O nyutonovskom potentsiale giperbolicheskikh sloev”, Tr. Tbilisskogo un-ta. Cer. matem., mekh., astron., 232–233:13–14 (1982), 23–29  mathscinet  zmath
170. V. I. Arnold, “Perestroiki osobennostei potentsialnykh potokov i metamorfozy kaustik v trekhmernom prostranstve”, Tr. sem. I. G. Petrovskogo, 8, MGU, M., 1982, 21–57  mathscinet  adsnasa
171. V. I. Arnold, Ya. B. Zeldovich, A. A. Ruzmaikin, D. D. Sokolov, “Statsionarnoe magnitnoe pole v periodicheskom potoke”, Dokl. AN SSSR, 266:6 (1982), 1357–1361  mathnet  mathscinet  mathscinet  zmath  adsnasa
172. V. I. Arnold, “Some remarks on the antidynamo theorem”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1982, no. 6, 50–57  mathnet  mathscinet  mathscinet  zmath  adsnasa 3
173. V. I. Arnol'd, “Singularities of Legendre varieties, of evolvents and of fronts at an obstacle”, Ergodic Theory Dynam. Systems, 2:3-4 (1982), 301–309  crossref  mathscinet  zmath  scopus 7
174. V. Arnol'd, “On some problems in singularity theory”, Proc. Indian Acad. Sci. Math. Sci., 90:1 (1981), 1–9  crossref  mathscinet  zmath  isi  scopus 14
175. V. I. Arnol'd, “Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail”, Funct. Anal. Appl., 15:4 (1981), 235–246  mathnet  crossref  mathscinet  zmath  isi  scopus
176. V. Arnol'd, “On some problems in singularity theory”, Geometry and analysis, Indian Acad. Sci., Bangalore, 1980, 1–9  mathscinet
177. V. I. Arnol'd, “Lagrange and Legendre cobordisms. II”, Funct. Anal. Appl., 14:4 (1980), 252–260  mathnet  crossref  mathscinet  zmath  isi  scopus
178. V. I. Arnol'd, “Lagrange and legendre cobordisms. I”, Funct. Anal. Appl., 14:3 (1980), 167–177  mathnet  crossref  mathscinet  zmath  isi  scopus
179. V. I. Arnol'd, “Statistics of integral convex polygons”, Funct. Anal. Appl., 14:2 (1980), 79–81  mathnet  crossref  mathscinet  zmath  scopus
180. V. I. Arnol'd, “Steady oscillations with potential energy harmonic in space and periodic in time”, J. Appl. Math. Mech., 43:2 (1979), 385–389 (1980)  crossref  mathscinet  zmath  isi  scopus
181. V. I. Arnold, O. A. Oleinik, “Topologiya deistvitelnykh algebraicheskikh mnogoobrazii”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1979, no. 6, 7–17  mathscinet  zmath  isi
182. V. I. Arnol'd, “Indices of singular points of 1-forms on a manifold with boundary, convolution of invariants of reflection groups, and singular projections of smooth surfaces”, Russian Math. Surveys, 34:1 (1979), 1–42  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
183. V. I. Arnol'd, “Index of a singular point of a vector field, the Petrovskii–Oleinik inequality, and mixed hodge structures”, Funct. Anal. Appl., 12:1 (1978), 1–12  mathnet  crossref  mathscinet  zmath  scopus
184. V. I. Arnol'd, “Critical points of functions on a manifold with boundary, the simple Lie groups $B_k$, $C_k$, and $F_4$ and singularities of evolutes”, Russian Math. Surveys, 33:5 (1978), 99–116  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
185. V. I. Arnol'd, “Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields”, Funct. Anal. Appl., 11:2 (1977), 85–92  mathnet  crossref  mathscinet  zmath  scopus
186. V. I. Arnold, “Nekotorye nereshennye zadachi teorii osobennostei”, Teoriya kubaturnykh formul i prilozheniya funktsionalnogo analiza k zadacham matematicheskoi fiziki, Tr. sem. S. L. Soboleva, 1, In-t matem. SO AN SSSR, Novosibirsk, 1976, 5–15  mathscinet
187. V. I. Arnold, “Spektralnye posledovatelnosti dlya privedeniya funktsii k normalnym formam”, Zadachi mekhaniki i matematicheskoi fiziki, Nauka, M., 1976, 7–20  mathscinet
188. V. I. Arnold, “Local normal forms of functions”, Invent. Math., 35 (1976), 87–109  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 95
189. V. I. Arnol'd, “Wave front evolution and equivariant Morse lemma”, Comm. Pure Appl. Math., 29:6 (1976), 557–582  crossref  mathscinet  zmath  adsnasa  isi  scopus 172
190. V. I. Arnol'd, “Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves”, Funct. Anal. Appl., 10:4 (1976), 249–259  mathnet  crossref  mathscinet  zmath  zmath  scopus
191. V. I. Arnol'd, “Critical points of smooth functions”, Proceedings of the International Congress of Mathematicians, Vol. 1 (Vancouver, BC, 1974), Canad. Math. Congress, Montreal, Que., 1975, 19–39  mathscinet
192. V. I. Arnol'd, “Spectral sequence for reduction of functions to normal form”, Funct. Anal. Appl., 9:3 (1975), 251–253  mathnet  crossref  mathscinet  zmath  scopus
193. V. I. Arnol'd, “Classification of bimodal critical points of functions”, Funct. Anal. Appl., 9:1 (1975), 43–44  mathnet  crossref  mathscinet  zmath  scopus
194. V. I. Arnol'd, “Critical points of smooth functions and their normal forms”, Russian Math. Surveys, 30:5 (1975), 1–75  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
195. V. I. Arnol'd, “Normal forms of functions in neighbourhoods of degenerate critical points”, Russian Math. Surveys, 29:2 (1974), 10–50  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
196. V. I. Arnol'd, “Classification of unimodal critical points of functions”, Funct. Anal. Appl., 7:3 (1973), 230–231  mathnet  crossref  mathscinet  zmath  scopus
197. V. I. Arnol'd, “Remarks on the stationary phase method and Coxeter numders”, Russian Math. Surveys, 28:5 (1973), 19–48  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
198. V. I. Arnold, “Versalnye semeistva i bifurkatsii differentsialnykh uravnenii”, Devyataya letnyaya matematicheskaya shkola (Katsiveli, 1971), In-t matem. AN USSR, Kiev, 1972, 42–49  mathscinet
199. V. I. Arnol'd, “Normal forms for functions near degenerate critical points, the Weyl groups of $A_k$, $D_k$, $E_k$ and Lagrangian singularities”, Funct. Anal. Appl., 6:4 (1972), 254–272  mathnet  crossref  mathscinet  zmath  scopus
200. V. I. Arnol'd, “Integrals of rapidly oscillating functions and singularities of projections of Lagrangian manifolds”, Funct. Anal. Appl., 6:3 (1972), 222–224  mathnet  crossref  mathscinet  zmath  scopus
201. V. I. Arnol'd, “Modes and quasimodes”, Funct. Anal. Appl., 6:2 (1972), 94–101  mathnet  crossref  mathscinet  zmath  scopus
202. V. I. Arnol'd, “Lectures on bifurcations in versal families”, Russian Math. Surveys, 27:5 (1972), 54–123  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
203. V. I. Arnol'd, “Distribution of ovals of the real plane of algebraic curves, of involutions of four-dimensional smooth manifolds, and the arithmetic of integer-valued quadratic forms”, Funct. Anal. Appl., 5:3 (1971), 169–176  mathnet  crossref  mathscinet  zmath  scopus
204. V. I. Arnol'd, “On matrices depending on parameters”, Russian Math. Surveys, 26:2 (1971), 29–43  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
205. V. I. Arnold, “O lokalnykh zadachakh analiza”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1970, no. 2, 52–56  mathscinet
206. V. I. Arnold, “O nekotorykh topologicheskikh invariantakh algebraicheskikh funktsii”, Tr. MMO, 21, MGU, M., 1970, 27–46  mathnet  mathscinet  zmath 26
207. V. I. Arnol'd, “Algebraic unsolvability of the problem of lyapunov stability and the problem of topological classification of singular points of an analytic system of differential equations”, Funct. Anal. Appl., 4:3 (1970), 173–180  mathnet  crossref  mathscinet  zmath  zmath  scopus
208. V. I. Arnol'd, “Topological invariants of algebraic functions. II”, Funct. Anal. Appl., 4:2 (1970), 91–98  mathnet  crossref  mathscinet  zmath  zmath  scopus
209. V. I. Arnol'd, “Cohomology classes of algebraic functions invariant under Tschirnhausen transformations”, Funct. Anal. Appl., 4:1 (1970), 74–75  mathnet  crossref  mathscinet  zmath  scopus
210. V. I. Arnol'd, “Algebraic unsolvability of the problem of stability and the problem of the topological classification of the singular points of analytic systems of differential equations”, Uspekhi Mat. Nauk, 25:2(152) (1970), 265–266  mathnet  mathscinet  zmath
211. V. I. Arnol'd, “One-dimensional cohomologies of Lie algebras of nondivergent vector fields and rotation numbers of dynamic systems”, Funct. Anal. Appl., 3:4 (1969), 319–321  mathnet  crossref  mathscinet  zmath  scopus
212. V. I. Arnol'd, “Remarks on singularities of finite codimension in complex dynamical systems”, Funct. Anal. Appl., 3:1 (1969), 1–5  mathnet  crossref  mathscinet  zmath  scopus
213. V. I. Arnol'd, “The cohomology ring of the colored braid group”, Math. Notes, 5:2 (1969), 138–140  mathnet  crossref  mathscinet  zmath  elib  scopus
214. V. I. Arnol'd, “The Hamiltonian nature of the Euler equations in the dynamics of a rigid body and of an ideal fluid”, Uspekhi Mat. Nauk, 24:3(147) (1969), 225–226  mathnet  mathscinet  zmath
215. V. I. Arnold, “Problema ustoichivosti i ergodicheskie svoistva klassicheskikh dinamicheskikh sistem”, Trudy mezhdunarodnogo kongressa matematikov (Moskva, 1966), Mir, M., 1968, 387–392  mathscinet
216. V. I. Arnol'd, “Remark on the branching of hyperelliptic integrals as functions of the parameters”, Funct. Anal. Appl., 2:3 (1968), 187–189  mathnet  crossref  mathscinet  zmath  scopus
217. V. I. Arnol'd, “Braids of algebraic functions and cohomologies of swallowtails”, Uspekhi Mat. Nauk, 23:4(142) (1968), 247–248  mathnet  mathscinet  zmath
218. V. I. Arnol'd, “Singularinies of smooth mappings”, Russian Math. Surveys, 23:1 (1968), 1–43  mathnet  crossref  mathscinet  zmath  adsnasa
219. V. I. Arnol'd, “A note on Weierstrass' auxiliary theorem”, Funct. Anal. Appl., 1:3 (1967), 173–179  mathnet  crossref  mathscinet  zmath  zmath  scopus
220. V. I. Arnol'd, “Characteristic class entering in quantization conditions”, Funct. Anal. Appl., 1:1 (1967), 1–13  mathnet  crossref  mathscinet  zmath  scopus
221. V. I. Arnol'd, “On the topology of three-dimensional steady flows of an ideal fluid”, J. Appl. Math. Mech., 30 (1966), 223–226  crossref  mathscinet  zmath  scopus 21
222. V. Arnold, “Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits”, Ann. Inst. Fourier (Grenoble), 16:1 (1966), 319–361  crossref  mathscinet  zmath 1163
223. V. I. Arnol'd, “An a priori estimate in the theory of hydrodynamic stability”, Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 5, 3–5  mathnet  mathscinet  zmath
224. V. I. Arnold, “Ustoichivost i neustoichivost v klassicheskoi mekhanike”, Vtoraya letnyaya matematicheskaya shkola, Chast II, Naukova dumka, Kiev, 1965, 85–119  mathscinet
225. V. Arnol'd, “Sur une propriété topologique des applications globalement canoniques de la mécanique classique”, C. R. Acad. Sci. Paris, 261 (1965), 3719–3722  mathscinet  zmath
226. V. Arnol'd, “Sur la topologie des écoulements stationnaires des fluides parfaits”, C. R. Acad. Sci. Paris, 261 (1965), 17–20  mathscinet  zmath
227. V. I. Arnold, “Ob usloviyakh ustoichivosti ploskikh statsionarnykh krivo lineinykh techenii idealnoi zhidkosti”, Dokl. AN SSSR, 162:5 (1965), 975–978  mathnet  mathscinet  mathscinet  zmath 11
228. V. I. Arnold, “Usloviya primenimosti i otsenka pogreshnosti metoda usredneniya dlya sistem, kotorye v protsesse evolyutsii prokhodyat cherez rezonansy”, Dokl. AN SSSR, 161:1 (1965), 9–12  mathnet  mathscinet  mathscinet  zmath 9
229. V. Arnol'd, “Sur la courbure de Riemann des groupes de difféomorphismes”, C. R. Acad. Sci. Paris, 260 (1965), 5668–5671  mathscinet  zmath
230. V. I. Arnold, “O neustoichivosti dinamicheskikh sistem so mnogimi stepenyami svobody”, Dokl. AN SSSR, 156:1 (1964), 9–12  mathnet  mathscinet  mathscinet  zmath 40
231. V. I. Arnol'd, “Correction to V. Arnol'd's paper: “Small denominators. I””, Izv. Akad. Nauk SSSR Ser. Mat., 28:2 (1964), 479–480  mathnet  mathscinet  zmath
232. V. I. Arnold, A. L. Krylov, “Ravnomernoe raspredelenie tochek na sfere i nekotorye ergodicheskie svoistva reshenii lineinykh obyknovennykh differentsialnykh uravnenii v kompleksnoi oblasti”, Dokl. AN SSSR, 148:1 (1963), 9–12  mathnet  mathscinet  mathscinet  zmath 6
233. V. I. Arnol'd, “On a theorem of Liouville concerning integrable problems of dynamics”, Amer. Math. Soc. Transl. (2), 61 (1967), 292–296  mathnet  mathscinet  mathscinet  zmath  zmath
234. V. I. Arnol'd, “Small denominators and problems of stability of motion in classical and celestial mechanics”, Russian Math. Surveys, 18:6 (1963), 85–191  mathnet  crossref  mathscinet  zmath  adsnasa
235. V. I. Arnol'd, “Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian”, Russian Math. Surveys, 18:5 (1963), 9–36  mathnet  crossref  mathscinet  zmath  adsnasa
236. V. I. Arnol'd, “Representation of continuous functions of three variables by the superposition of continuous functions of two variables”, Amer. Math. Soc. Transl. (2), 28 (1963), 61–147  mathscinet  zmath
237. V. I. Arnold, “O povedenii adiabaticheskogo invarianta pri medlennom periodicheskom izmenenii funktsii Gamiltona”, Dokl. AN SSSR, 142:4 (1962), 758–761  mathnet  mathscinet  mathscinet  zmath 6
238. V. I. Arnol'd, Ya. G. Sinai, “Small perturbations of the automorphisms of the torus”, Sov. Math. Dokl., 3 (1962), 783–787  mathnet  mathscinet  mathscinet  zmath
239. V. I. Arnold, “O klassicheskoi teorii vozmuschenii i probleme ustoichivosti planetnykh sistem”, Dokl. AN SSSR, 145:3 (1962), 487–490  mathnet  mathscinet  mathscinet  zmath 4
240. V. I. Arnold, “Zamechaniya o chislakh vrascheniya”, Sib. matem. zhurn., 2:6 (1961), 807–813  mathnet  mathscinet  mathscinet  zmath 3
241. V. I. Arnold, “Neskolko zamechanii o potokakh lineinykh elementov i reperov”, Dokl. AN SSSR, 138:2 (1961), 255–257  mathnet  mathscinet 2
242. V. I. Arnold, “O rozhdenii uslovno periodicheskogo dvizheniya iz semeistva periodicheskikh dvizhenii”, Dokl. AN SSSR, 138:1 (1961), 13–15  mathnet  mathscinet  mathscinet  zmath 4
243. V. I. Arnold, “Ob ustoichivosti polozheniya ravnovesiya gamiltonovoi sistemy obyknovennykh differentsialnykh uravnenii v obschem ellipticheskom sluchae”, Dokl. AN SSSR, 137:2 (1961), 255–257  mathnet  mathscinet  mathscinet  zmath 20
244. V. I. Arnol'd, “Small denominators. I. Mapping the circle onto itself”, Izv. Akad. Nauk SSSR Ser. Mat., 25:1 (1961), 21–86  mathnet  mathscinet  zmath
245. V. I. Arnol'd, “Test for nomographability using Descartes' rectilinear abacus”, Uspekhi Mat. Nauk, 16:4(100) (1961), 133–135  mathnet  mathscinet  zmath
246. V. I. Arnol'd, “The representation of functions of several variables”, Pokroky Mat. Fys. Astronom., 5 (1960), 399–416  mathscinet  zmath
247. V. I. Arnol'd, “Some questions on approximation and representation of functions”, Proc. Internat. Congress Math. 1958, Cambridge Univ. Press, New York, 1960, 339–348  mathscinet
248. V. I. Arnol'd, “On analytic mappings of the circle into itself”, Uspekhi Mat. Nauk, 15:2(92) (1960), 212–214  mathnet
249. V. I. Arnol'd, “On the representation of continuous functions of three variables by superpositions of continuous functions of two variables”, Mat. Sb. (N.S.), 48(90):1 (1959), 3–74  mathnet  mathscinet  zmath
250. V. I. Arnol'd, “On functions of three variables”, Amer. Math. Soc. Transl. (2), 28 (1963), 51–54  mathnet  mathscinet  mathscinet  zmath  zmath
251. V. I. Arnol'd, “On the representability of a function of two variables in the form $\chi[\phi(x)+\psi(y)]$”, Uspekhi Mat. Nauk, 12:2(74) (1957), 119–121  mathnet  mathscinet  zmath

Books

252. V. I. Arnold, Dynamics, statistics and projective geometry of Galois fields, Cambridge University Press, Cambridge, 2011 , x+80 pp.  mathscinet  zmath
253. V. I. Arnold, Veschestvennaya algebraicheskaya geometriya, MTsNMO, M., 2009 , 88 pp.
254. V. I. Arnold, Geometriya kompleksnykh chisel, kvaternionov i spinov, 2-e izd., stereotipnoe, MTsNMO, M., 2009 , 40 pp.
255. V. I. Arnold, Tsepnye drobi, 2-e izd., stereotipnoe, MTsNMO, M., 2009 , 40 pp.
256. V. I. Arnold, A. N. Varchenko, S. M. Gusein-Zade, Osobennosti differentsiruemykh otobrazhenii, 3-e izd., stereotipnoe, MTsNMO, M., 2009 , 672 pp.
257. V. I. Arnold, Matematicheskoe ponimanie prirody (ocherki udivitelnykh fizicheskikh yavlenii i ikh ponimaniya matematikami), MTsNMO, M., 2009 , 144 pp.
258. V. I. Arnold, Statistika podslov, Lektsiya v shkole «Sovremennaya matematika» (Ob'edinennyi institut yadernykh issledovanii, Dubna, Ratmino, iyul 2009), MTsNMO, M., 2009 , 10 pp.
259. V. I. Arnold, Izmerenie stepeni sluchainosti konechnogo nabora tochek, Lektsiya v shkole «Sovremennaya matematika» (Ob'edinennyi institut yadernykh issledovanii, Dubna, Ratmino, iyul 2009), MTsNMO, M., 2009 , 20 pp.
260. V. I. Arnold, Vladimir I. Arnold—collected works, v. I, Representations of functions, celestial mechanics and KAM theory, 1957–1965, eds. A. B. Givental, B. A. Khesin, J. E. Marsden, A. N. Varchenko, V. A. Vassilev, O. Ya. Viro and V. M. , Springer-Verlag, Berlin, 2009 , xiv+487 pp.  mathscinet
261. V. I. Arnold, Eksperimentalnoe nablyudenie matematicheskikh faktov, MTsNMO, M., 2007 , 120 pp.
262. V. I. Arnold, B. A. Khesin, Topologicheskie metody v gidrodinamike, MTsNMO, M., 2007 , 392 pp.
263. V. I. Arnold, Ordinary differential equations, Universitext, Springer-Verlag, Berlin, 2006 , ii+334 pp.  mathscinet
264. V. I. Arnold, V. V. Kozlov, A. I. Neishtadt, Mathematical aspects of classical and celestial mechanics, Dynamical systems. III, Encyclopaedia Math. Sci., 3, 3rd edition, Springer-Verlag, Berlin, 2006 , xiv+518 pp.  crossref  mathscinet  zmath 488
265. V. I. Arnold, Dinamika, statistika i proektivnaya geometriya polei Galua, MTsNMO, M., 2005 , 72 pp.
266. V. I. Arnold, “Zhestkie” i “myagkie” matematicheskie modeli, 2-e izd., stereotipnoe, MTsNMO, M., 2004 , 32 pp.
267. V. I. Arnold, A. N. Varchenko, S. M. Gusein-Zade, Osobennosti differentsiruemykh otobrazhenii, 2-e izd., ispravlennoe, MTsNMO, M., 2004 , 672 pp.
268. V. I. Arnold, Gruppy Eilera i arifmetika geometricheskikh progressii, MTsNMO, M., 2003 , 44 pp.
269. J. Kahane-Pierre, P. Cartier, V. I. Arnold, J. Coates, D. Zagier, H. Br{\ 'e}zis{ï}m, F. Phamédéric, B. Malgrange, H. Helson, Y. Meyer, Y. Colin de Verdiére, P. Lions-Louis, Leçons de mathématiques d'aujourd'hui, With a preface by Éric Charpentier and Nicolaï Nikolski, v. 1, Le Sel et le Fer [Salt and Iron], 4, Ed. 2, Cassini, Paris, 2003 , xvi+332 pp. (French)  mathscinet
270. V. I. Arnold, Geometricheskie metody v teorii obyknovennykh differentsialnykh uravnenii, MTsNMO, M., 2002 , 400 pp.
271. V. I. Arnold, Geometriya kompleksnykh chisel, kvaternionov i spinov, MTsNMO, M., 2002 , 40 pp.
272. V. I. Arnold, Astroidalnaya geometriya gipotsikloid i gessianova topologiya giperbolicheskikh mnogochlenov, MTsNMO, M., 2001 , 80 pp.
273. V. I. Arnold, Tsepnye drobi, MTsNMO, M., 2001 , 40 pp.
274. V. I. Arnold, Arnold's problems, Springer-Verlag, Berlin, 2004 , xvi+639 pp.  mathscinet  mathscinet  zmath
275. V. I. Arnold, “Zhestkie” i “myagkie” matematicheskie modeli, MTsNMO, M., 2000 , 32 pp.
276. V. I. Arnold, V. S. Afrajmovich, Yu. S. Il'yashenko, L. P. Shil'nikov, Bifurcation theory and catastrophe theory, Translated from the 1986 Russian original by N. D. Kazarinoff; Reprint of the 1994 English edition from the series Encyclopaedia of Mathematical Sciences, Springer-Verlag, Berlin, 1999 , viii+271 pp.  mathscinet  zmath
277. V. I. Arnold, B. A. Khesin, Topological methods in hydrodynamics, Appl. Math. Sci., 125, Springer-Verlag, New York, 1998 , xvi+374 pp.  crossref  mathscinet  zmath 640
278. Arnold V. I., V. V. Goryunov, O. V. Lyashko, V. A. Vasil'ev, Singularity theory. I, Translated from the 1988 Russian original by A. Iacob; Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences [Dynamical systems. VI, Encyclopaedia Math. Sci., 6, Springer, Berlin, 1993], Springer-Verlag, Berlin, 1998 , iv+245 pp.  mathscinet  zmath
279. V. I. Arnold, Izbrannoe-60, Fazis, M., 1997 , xviii+770 pp.  mathscinet  zmath
280. V. I. Arnold, Lectures on partial differential equations, Universitext, Springer-Verlag, Berlin, 2004 , x+157 pp.  crossref  mathscinet  mathscinet
281. V. I. Arnold, V. V. Kozlov, A. I. Neishtadt, Mathematical aspects of classical and celestial mechanics, Translated from the 1985 Russian original by A. Iacob; Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences [Dynamical systems. III, Encyclopaedia Math. Sci., 3, Springer, Berlin, 1993], Springer-Verlag, Berlin, 1997 , xiv+291 pp.  mathscinet  zmath
282. D. V. Anosov, S. Kh. Aranson, V. I. Arnold, I. U. Bronshtein, V. Z. Grines, Yu. S. Il'yashenko, Dynamical systems I: Ordinary differential equations and smooth dynamical systems, Problem Books in Mathematics, Softcover reprint of the original 1st ed. 1988 edition, eds. D. V. Anosov, V. I. Arnold, Springer-Verlag, Berlin, 1997 , ix+237 pp.  mathscinet  zmath 78
283. V. I. Arnold, Osobennosti kaustik i volnovykh frontov, Biblioteka matematika, 1, Fazis, M., 1996 , x+334 pp.  mathscinet
284. V. I. Arnol'd, Topological invariants of plane curves and caustics, Univ. Lecture Ser., 5, Amer. Math. Soc., Providence, RI, 1994 , viii+60 pp.  crossref  mathscinet  zmath 64
285. V. I. Arnol'd, The theory of singularities and its applications, Lezioni Fermiane, Accademia Nazionale dei Lincei, Rome, 1991 , 73 pp.  mathscinet  zmath
286. V. I. Arnol'd, Singularities of caustics and wave fronts, Math. Appl. (Soviet Ser.), 62, Kluwer Acad. Publ., Dordrecht, 1990 , xiv+259 pp.  mathscinet  zmath
287. V. I. Arnol'd, Catastrophe theory, Springer-Verlag, Berlin, 1992 , xiv+150 pp.  mathscinet  mathscinet  zmath
288. V. I. Arnol'd, Contact geometry and wave propagation, Série des Conférences de l'Union Mathématique Internationale, 9, Monogr. Enseign. Math., 34, L'Enseignement Mathématique, Geneva, 1989 , 56 pp.  mathscinet  zmath
289. V. I. Arnol'd, V. V. Kozlov, A. I. Neĭshtadt, Dynamical systems. III, Translated from the Russian by A. Iacob, Encyclopaedia of Mathematical Sciences, 3, Springer-Verlag, Berlin, 1988 , xiv+291 pp.  crossref  mathscinet  adsnasa 338
290. V. I. Arnol'd, Teória katastrof, Edícia Matematicko-Fyzikálnej Literatúry. [Publications in Mathematics and Physics], Alfa—Vydavatel'stvo Technickej a Ekonomickej Literatúry, Bratislava, 1986 , 112 pp.  mathscinet  zmath
291. V. I. Arnol'd, Catastrophe theory, Springer-Verlag, Berlin, 1986 , xiv+108 pp.  mathscinet
292. V. I. Arnol'd, Equações diferenciais ordinárias, Mir, Moscow, 1985 , 327 pp.  mathscinet
293. V. I. Arnol'd, Matematicheski metodi na klasicheskata mekhanika, Ed. 2, Nauka i Izkustvo, Sofia, 1985 , 448 pp. (Bulgarian)  mathscinet
294. V. I. Arnol'd, V. V. Kozlov, A. I. Neishtadt, “Mathematical aspects of classical and celestial mechanics”, Dynamical systems – 3, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 3, VINITI, Moscow, 1985, 5–290 , 304 pp.  mathnet  mathnet  mathscinet  zmath
295. V. I. Arnol'd, S. M. Guseĭn-Zade, A. N. Varchenko, Singularities of differentiable maps. Vol. II. Monodromy and asymptotics of integrals, Monogr. Math., 83, Birkhäuser Boston Inc., Boston, MA, 1988 , viii+492 pp.  mathscinet  mathscinet  zmath
296. W. I. Arnold, Teoria równań różniczkowych, PWN, Warsaw, 1983 , 299 pp.  mathscinet
297. V. I. Arnol'd, Catastrophe theory, Springer-Verlag, Berlin, 1984 , iv+79 pp.  mathscinet  zmath  adsnasa
298. V. I. Arnold, Teoriya katastrof, 2-e izd., dop., MGU, M., 1983
299. V. I. Arnol'd, S. M. Guseĭn-Zade, A. N. Varchenko, Singularities of differentiable maps Vol. I. The classification of critical points, caustics and wave fronts; Translated from the Russian by Ian Porteous and Mark Reynolds, Monogr. Math., 82, Birkhäuser Boston, Boston, MA, 1985 , xi+382 pp.  mathscinet  mathscinet  zmath
300. W. I. Arnold, Metody matematyczne mechaniki klasycznej, PWN, Warsaw, 1981 , 430 pp.  mathscinet  zmath
301. V. I. Arnol'd, Singularity theory. Selected papers, Translated from the Russian. With an introduction by C. T. C. Wall, London Math. Soc. Lecture Note Ser., 53, Cambridge Univ. Press, Cambridge, 1981 , i+266 pp.  mathscinet  zmath
302. V. I. Arnol'd, Ordinary differential equations, MIT Press, Cambridge, MA–London, 1978 , ix+280 pp.  mathscinet
303. V. I. Arnold, Mathematical methods of classical mechanics, Grad. Texts in Math., 60, Springer-Verlag, New York, NY, 1978 , x+462 pp.  crossref  mathscinet  zmath  adsnasa 2694
304. V. Arnold, Les méthodes mathématiques de la mécanique classique, Mir, Moscow, 1976 , 470 pp.  mathscinet  zmath
305. W. I. Arnold, Równania różniczkowe zwyczajne, PWN, Warsaw, 1975 , 264 pp.  mathscinet  zmath
306. V. Arnold, Équations différentielles ordinaries. Champs de vecteurs, groupes à un paramètre, difféomorphismes, flots, systèmes linéaires, stabilités des positions d'équilibre, théorie des oscillations, équations différentielles sur les variétés, Mir, Moscow, 1974 , 267 pp.  mathscinet  zmath
307. V. I. Arnold, Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1974 , 431 pp.  mathscinet
308. V. I. Arnol'd, Ordinary differential equations, MIT Press, Cambridge, MA–London, 1973 , ix+280 pp.  mathscinet  zmath
309. V. I. Arnold, Obyknovennye differentsialnye uravneniya, Nauka, M., 1971 , 239 pp.  mathscinet
310. V. I. Arnol'd, A. Avez, Ergodic problems of classical mechanics, W. A. Benjamin, Inc., New York–Amsterdam, 1968 , ix+286 pp.  mathscinet  mathscinet  zmath

Preprints

311. V. I. Arnold, From Hilbert's superposition problem to dynamical systems, Preprint №1998-14, CEREMADE, Université Paris-Dauphine, Paris, 1998
312. V. I. Arnold, Symplectisation, complexification and mathematical trinities, Preprint №1998-15, CEREMADE, Université Paris-Dauphine, Paris, 1998
313. V. I. Arnold, Topological problems in wave propagation theory and topological economy principle in algebraic geometry, Preprint №1998-13, CEREMADE, Université Paris-Dauphine, Paris, 1998
314. V. I. Arnold, Topological problems of the theory of asymptotic curves, Preprint №1998-27, CEREMADE, Université Paris-Dauphine, Paris, 1998
315. V. I. Arnold, On the realization of the given Gaussian curvature function, Preprint №1998-09, CEREMADE, Université Paris-Dauphine, Paris, 1998
316. V. I. Arnold, Relatives of the quotient of the complex projective plane by the complex conjugation, Preprint №1998-39, CEREMADE, Université Paris-Dauphine, Paris, 1998
317. V. I. Arnold, Ya. B. Zeldovich, S. F. Shandarin, Krupnomasshtabnaya struktura Vselennoi. I. Obschie svoistva. Odnomernaya i dvumernaya modeli, Preprint, In-t prikl. matem. im. M. V. Keldysha AN SSSR, M., 1981 , 32 pp.  mathscinet  zmath

Popular science or education materials

318. V. Arnol'd, Kvant, 2020, no. 1, 29–37  mathnet
319. V. I. Arnol'd, Kvant, 2017, no. 8, 2–6  mathnet
320. V. I. Arnol'd, Kvant, 2017, no. 7, 4–8  mathnet
321. V. I. Arnol'd, Mat. Pros., 15, MCCME, Moscow, 2011, 89–106  mathnet
322. V. Arnol'd, Kvant, 2010, no. 5, 2–6  mathnet
323. V. Arnol'd, Kvant, 2010, no. 4, 4–10  mathnet
324. V. I. Arnold, “Poeziya matematiki”, Troitskii variant, 2009, no. 18, 11
325. V. I. Arnold, “Pereorientatsiya nauki na «prikladnye issledovaniya» privedet k snizheniyu intellektualnogo urovnya strany”, Troitskii variant, 2009, no. 857, 1–3
326. V. I. Arnold, “«Zhestkie» i «myagkie» matematicheskie modeli”, Matematika, no. 6, 1 sentyabrya, 2009
327. V. I. Arnold, Nauka matematika i iskusstvo matematikov, MGU, M., 2008 , 58 pp.
328. V. I. Arnold, Chto takoe matematika?, 2-e izd., stereotipnoe, MTsNMO, M., 2008 , 104 pp.
329. V. I. Arnol'd, Mat. Pros., 12, MCCME, Moscow, 2008, 95–104  mathnet
330. V. I. Arnold, Yesterday and long ago, Springer-Verlag, Berlin; PHASIS, Moscow, 2007 , xiv+229 pp.  mathscinet  zmath
331. V. I. Arnold, Zadachi dlya detei ot 5 do 15 let, 2-e izd., dopolnennoe, MTsNMO, M., 2007 , 16 pp.
332. V. Arnol'd, Kvant, 2007, no. 5, 2–9  mathnet
333. V. I. Arnold, Zadachi seminara 2003–2004, MTsNMO, M., 2005 , 56 pp.
334. V. I. Arnol'd, Mat. Pros., 9, MCCME, Moscow, 2005, 220–222  mathnet
335. V. I. Arnol'd, Mat. Pros., 9, MCCME, Moscow, 2005, 93–99  mathnet
336. V. I. Arnold, Zadachi dlya detei ot 5 do 15 let, MTsNMO, M., 2004 , 16 pp.
337. V. I. Arnold, Nuzhna li v shkole matematika?, 2-e izd., stereotipnoe, MTsNMO, M., 2004 , 32 pp.
338. V. I. Arnold, Chto takoe matematika?, MTsNMO, M., 2004 , 104 pp.
339. V. I. Arnol'd, “What is mathematical physics?”, Phys. Usp., 47:12 (2004), 1281–1283  mathnet  crossref  crossref  adsnasa  isi  scopus
340. V. I. Arnold, “Matematicheskaya duel vokrug Burbaki”, Vestn. RAN, 72:3 (2002), 245–250  mathscinet
341. V. I. Arnold, Istorii davnie i nedavnie, MTsNMO, M., 2002 , 96 pp.
342. V. I. Arnold, Nuzhna li v shkole matematika?, MTsNMO, M., 2001 , 32 pp.
343. Arnold Władimir I., “On teaching mathematics”, Wiadom. Mat., 37 (2001), 17–26  mathscinet  zmath
344. V. I. Arnol'd, Mat. Pros., 3, MCCME, Moscow, 1999, 7–20  mathnet
345. V. I. Arnold, ““Zhestkie” i “myagkie” matematicheskie modeli”, Priroda, 1998, no. 4, 3–14  mathscinet
346. V. I. Arnold, “Statistika pervykh tsifr stepenei dvoiki i peredel mira”, Kvant, 1998, no. 1, 2–4  mathnet
347. V. I. Arnol'd, Mathematical methods of classical mechanics, Grad. Texts in Math., 60, Springer-Verlag, New York, 1997 , xvi+516 pp.  mathscinet
348. V. I. Arnol'd, Mat. Pros., 1, MCCME, Moscow, 1997, 10–23  mathnet
349. V. Arnol'd, “Les mathématiques vont-elles survivre?”, Gaz. Math., 1995, no. 65, 3–10  mathscinet
350. V. I. Arnold, “Will mathematics survive? Report on the Zurich Congress”, Pokroky Mat. Fyz. Astronom., 41:1 (1996), 38–44 (Czech)  crossref  mathscinet  mathscinet  zmath  isi  scopus
351. V. I. Arnold, “Proektivnaya topologiya”, Kvant, 1995, no. 6, 5–11
352. V. I. Arnol'd, “Will Russian mathematics survive?”, Notices Amer. Math. Soc., 40:2 (1993), 104–107  mathscinet  zmath
353. V. I. Arnol'd, “A mathematical trivium – II”, Russian Math. Surveys, 48:1 (1993), 217–232  mathnet  crossref  adsnasa  isi  scopus
354. V. I. Arnol'd, Ordinary differential equations, Springer Textbook, Springer-Verlag, Berlin, 1992 , 334 pp.  mathscinet  zmath
355. V. I. Arnol'd, “Trivium mathématique”, Gaz. Math., 52 (1992), 87–96  mathscinet
356. V. I. Arnol'd, Gewöhnliche Differentialgleichungen, Hochschulbucher fur Math., 83, Deutscher Verlag Wiss., Berlin, 1991 , 340 pp.  mathscinet  zmath
357. V. I. Arnold, “Meandry”, Kvant, 1991, no. 3, 11–14
358. V. I. Arnol'd, “A mathematical trivium”, Russian Math. Surveys, 46:1 (1991), 271–278  mathnet  crossref  adsnasa  isi  scopus
359. V. I. Arnol'd, Mathematical methods of classical mechanics, Grad. Texts in Math., 60, Springer-Verlag, New York, 1989 , xvi+508 pp.  crossref  mathscinet 3087
360. V. I. Arnold, Matematicheskie metody klassicheskoi mekhaniki, 3-e izd., Nauka, M., 1989  mathscinet
361. V. I. Arnol'd, Huygens and Barrow, Newton and Hooke. Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals, Birkhäuser Verlag, Basel, 1990 , 118 pp.  mathscinet  mathscinet  adsnasa
362. V. I. Arnold, “Topologicheskoe dokazatelstvo transtsendentnosti abelevykh integralov v “Matematicheskikh nachalakh naturalnoi filosofii” Nyutona”, Ist.-matem. issled., 1989, no. 31, 7–17  mathscinet  zmath
363. V. I. Arnol'd, Mathematische Methoden der klassischen Mechanik, Grad. Texts in Math., 60, VEB Deutscher Verlag Wiss., Berlin, 1988 , 520 pp.  mathscinet
364. V. Arnol'd, Équations différentielles ordinaires, Traduit du Russe: Mathématiques, Mir, Moscow, 1988 , 334 pp.  mathscinet  zmath
365. V. I. Arnol'd, Geometrische Methoden in der Theorie der gewöhnlichen Differentialgleichungen, Birkhäuser Verlag, Basel, 1987 , 320 pp.  mathscinet  zmath
366. V. I. Arnol'd, Geometrische Methoden in der Theorie der gewöhnlichen Differentialgleichungen, Hochschulbücher für Mathematik, 90, VEB Deutscher Verlag Wiss., Berlin, 1987 , 320 pp.  mathscinet  zmath
367. V. I. Arnol'd, “Kepler's second law and the topology of abelian integrals (according to Newton)”, Kvant selecta: algebra and analysis, II, Math. World, 15, Amer. Math. Soc., Providence, RI, 1999, 131–140  mathscinet
368. V. I. Arnol'd, “Evolution processes and ordinary differential equations”, Kvant selecta: algebra and analysis, II, Math. World, 15, Amer. Math. Soc., Providence, RI, 1999, 73–85  mathscinet
369. V. Arnol'd, Chapitres supplémentaires de la théorie des équations différentielles ordinaires, Mir, Moscow, 1984 , 329 pp.  mathscinet
370. V. I. Arnold, Obyknovennye differentsialnye uravneniya, 3-e izd., Nauka, M., 1984 , 272 pp.  mathscinet
371. V. I. Arnol'd, Geometrical methods in the theory of ordinary differential equations, Grundlehren Math. Wiss., 250, Springer-Verlag, New York, NY, 1988 , xiv+351 pp.  crossref  mathscinet  mathscinet  zmath
372. V. I. Arnol'd, Geometrical methods in the theory of ordinary differential equations, Grundlehren Math. Wiss., 250, Springer-Verlag, New York, 1983 , xi+334 pp.  crossref  mathscinet  zmath  adsnasa 938
373. V. Arnol'd, Chapitres supplémentaires de la théorie des équations différentielles ordinaires, Mir, Moscow, 1980 , 324 pp.  mathscinet  zmath
374. V. I. Arnold, Matematicheskie metody klassicheskoi mekhaniki, 2-e izd., Nauka, M., 1979 , 431 pp.  mathscinet
375. V. I. Arnold, Dopolnitelnye glavy teorii obyknovennykh differentsialnykh uravnenii, Nauka, M, 1978 , 304 pp.  mathscinet
376. V. I. Arnol'd, Gewöhnliche Differentialgleichungen, Springer-Verlag, Berlin, 1980 , 275 pp.  mathscinet  mathscinet  zmath
377. V. I. Arnold, Lektsii po obyknovennym differentsialnym uravneniyam, Chast 3, MGU, M., 1969 , 41 pp.  mathscinet
378. V. I. Arnold, Lektsii po teorii obyknovennykh differentsialnykh uravneniyai, Chast 2, MGU, M., 1969 , 75 pp.  mathscinet
379. V. I. Arnold, Lektsii po teorii obyknovennykh differentsialnykh uravneniyai, Chast 1, MGU, M., 1969 , 113 pp.  mathscinet
380. V. I. Arnold, “O predstavlenii funktsii neskolkikh peremennykh v vide superpozitsii funktsii menshego chisla peremennykh”, Matematika, ee prepodavanie, prilozheniya i istoriya, Matem. prosv., 3, 1958, 41–61  mathnet 6

Information matherials

381. V. I. Arnol'd, “I. G. Petrovskii, Hilbert's topological problems, and modern mathematics”, Russian Math. Surveys, 57:4 (2002), 833–845  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
382. V. I. Arnold, “The antiscientifical revolution and mathematics”, Herald Russ. Acad. Sci., 69:4 (1999), 329–333  mathscinet
383. V. I. Arnold, “International Mathematical Congress in Berlin”, Herald Russ. Acad. Sci., 69:1 (1999), 73–81  mathscinet
384. V. I. Arnol'd, “On teaching mathematics”, Russian Math. Surveys, 53:1 (1998), 229–236  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi
385. V. Ya. Ivrii, A. B. Givental', V. I. Arnol'd, V. A. Kondrat'ev, O. A. Oleinik, V. M. Millionshchikov, N. Kh. Rozov, A. F. Filippov, A. A. Il'yushin, V. G. Vil'ke, A. M. Dykhne, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 39:5(239) (1984), 253–260  mathnet
386. R. Finn, V. I. Arnol'd, S. B. Kuksin, V. M. Kharlamov, A. V. Babin, I. G. Khachatryan, Ya. B. Zel'dovich, S. N. Samborskii, O. I. Bogoyavlenskii, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 38:2(230) (1983), 225–232  mathnet
387. V. I. Arnol'd, A. L. Gol'denveizer, V. B. Lidskii, I. M. Krichever, A. N. Varchenko, R. L. Dobrushin, A. A. Barmin, S. V. Manakov, V. A. Malyshev, R. A. Minlos, L. D. Faddeev, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 33:2(200) (1978), 225–231  mathnet
388. V. I. Arnol'd, A. M. Vershik, D. B. Fuchs, Ya. M. Èliashberg, “Regional Mathematical School in Syktyvkar”, Uspekhi Mat. Nauk, 31:4(190) (1976), 301  mathnet
389. V. I. Arnol'd, A. A. Kirillov, V. M. Tikhomirov, M. A. Shubin, “On First All-Union Mathematical Competition for Students”, Uspekhi Mat. Nauk, 30:4(184) (1975), 281–288  mathnet
390. V. I. Arnol'd, A. A. Kirillov, Ya. G. Sinai, “Dynamical systems at the Stockholm Mathematical Congress”, Uspekhi Mat. Nauk, 18:2(110) (1963), 189–196  mathnet  zmath
391. V. I. Arnol'd, L. D. Meshalkin, “A. N. Kolmogorov's Seminar on Selected Problems of Analysis (1958/1959)”, Uspekhi Mat. Nauk, 15:1(91) (1960), 247–250  mathnet
392. V. I. Arnold, “V shkolnom matematicheskom kruzhke pri MGU. (Okonchanie)”, Matematika, ee prepodavanie, prilozheniya i istoriya, Matem. prosv., 3, 1958, 241–250  mathnet
393. V. I. Arnold, “V shkolnom matematicheskom kruzhke pri MGU”, Matematika, ee prepodavanie, prilozheniya i istoriya, Matem. prosv., 2, 1957, 241–245  mathnet 1

Personalia

394. A. M. Abramov, V. I. Arnol'd, A. V. Bolsinov, A. N. Varchenko, L. Galgani, B. I. Zhilinskii, Yu. S. Il'yashenko, V. V. Kozlov, A. I. Neishtadt, V. I. Piterbarg, A. G. Khovanskii, V. V. Yashchenko, “Nikolai Nikolaevich Nekhoroshev (obituary)”, Russian Math. Surveys, 64:3 (2009), 561–566  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
395. V. I. Arnol'd, F. M. Borodich, O. A. Gelfond, Yu. S. Ilyashenko, B. Ya. Kazarnovskii, V. F. Kirichenko, A. B. Sossinski, V. A. Timorin, M. A. Tsfasman, S. Yu. Yakovenko, “Askold Georgievich Khovanskii”, Mosc. Math. J., 7:2 (2007), 169–171  mathnet  mathscinet
396. V. I. Arnol'd, V. S. Vladimirov, V. V. Kozlov, E. F. Mishchenko, Yu. S. Osipov, B. E. Paton, A. N. Sisakyan, A. D. Sukhanov, L. D. Faddeev, K. V. Frolov, “Yurii Alekseevich Mitropol'skii (on his 90th birthday)”, Russian Math. Surveys, 62:4 (2007), 829–835  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
397. D. V. Anosov, V. I. Arnol'd, V. A. Vladimirov, V. V. Kozlov, Ya. G. Sinai, “Viktor Iosifovich Yudovich (obituary)”, Russian Math. Surveys, 62:2 (2007), 375–378  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
398. V. Arnold, G . Iooss, V. Vladimirov, “Obituary [Victor Iosifovich Yudovich]”, J. Math. Fluid Mech., 8:4 (2006), 455  crossref  mathscinet  zmath  isi
399. V. I. Arnol'd, V. M. Buchstaber, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Khovanskii, S. K. Lando, S. P. Novikov, A. B. Sossinski, M. A. Tsfasman, “Victor A. Vassiliev”, Mosc. Math. J., 6:1 (2006), 1–3  mathnet  mathscinet
400. È. L. Akim, V. I. Arnol'd, V. V. Beletskii, I. G. Goryacheva, V. F. Zhuravlev, D. M. Klimov, V. V. Kozlov, O. B. Lupanov, S. P. Novikov, Yu. P. Popov, V. V. Rumyantsev, F. L. Chernous'ko, G. G. Chernii, T. M. Eneev, “Dmitrii Evgen'evich Okhotsimskii (obituary)”, Russian Math. Surveys, 61:3 (2006), 545–549  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
401. V. I. Arnol'd, L. R. Volevich, A. A. Gonchar, S. S. Demidov, M. I. Zelikin, Yu. S. Ilyashenko, G. G. Magaril-Il'yaev, A. V. Mikhalev, S. P. Novikov, I. V. Yaschenko, “Vladimir Mikhailovich Tikhomirov (on his 70th birthday)”, Russian Math. Surveys, 61:1 (2006), 189–192  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
402. V. I. Arnol'd, A. S. Demidov, Yu. S. Ilyashenko, G. G. Magaril-Il'yaev, E. F. Mishchenko, K. Yu. Osipenko, A. B. Sossinski, M. A. Tsfasman, V. A. Uspenskii, M. N. Vyalyi, I. V. Yaschenko, M. I. Zelikin, “Vladimir M. Tikhomirov”, Mosc. Math. J., 5:1 (2005), 295  mathnet  mathscinet
403. D. V. Anosov, V. I. Arnol'd, A. A. Glutsyuk, A. S. Gorodetski, V. Y. Kaloshin, A. B. Katok, A. G. Khovanskii, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, S. Yu. Yakovenko, “Yulij S. Ilyashenko”, Mosc. Math. J., 5:1 (2005), 3–4  mathnet  mathscinet
404. V. I. Arnol'd, M. Sh. Birman, A. M. Vershik, M. I. Vishik, I. M. Gel'fand, I. A. Ibragimov, V. P. Maslov, S. P. Novikov, G. A. Seregin, Ya. G. Sinai, M. Z. Solomyak, V. A. Solonnikov, N. N. Ural'tseva, L. D. Faddeev, “Olga Aleksandrovna Ladyzhenskaya (obituary)”, Russian Math. Surveys, 59:3 (2004), 553–555  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
405. D. V. Anosov, V. I. Arnol'd, V. M. Buchstaber, V. A. Golubeva, A. A. Gonchar, A. B. Zhizhchenko, Yu. S. Ilyashenko, V. V. Kozlov, S. P. Konovalov, L. D. Kudryavtsev, V. P. Leksin, O. B. Lupanov, A. A. Mal'tsev, E. F. Mishchenko, S. P. Novikov, Yu. S. Osipov, M. M. Postnikov, V. A. Sadovnichii, A. G. Sergeev, L. D. Faddeev, A. V. Chernavskii, “Andrei Andreevich Bolibrukh (obituary)”, Russian Math. Surveys, 58:6 (2003), 1185–1189  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
406. V. A. Aleksandrov, V. I. Arnol'd, A. A. Borisenko, Yu. F. Borisov, V. A. Zalgaller, S. S. Kutateladze, V. A. Marchenko, A. D. Milka, Yu. G. Reshetnyak, I. Kh. Sabitov, “Aleksei Vasil'evich Pogorelov (obituary)”, Russian Math. Surveys, 58:3 (2003), 593–596  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
407. V. Arnold, “Jürgen Moser (1928–1999). Déclin des mathématiques (après la mort de Jürgen Moser)”, Gaz. Math., 2000, no. 84, 92–95  mathscinet
408. M. S. Agranovich, V. I. Arnol'd, D. G. Vasil'ev, M. I. Vishik, I. M. Gel'fand, A. G. Kostyuchenko, L. D. Kudryavtsev, “Victor Borisovich Lidskii (on his 75th birthday)”, Russian Math. Surveys, 54:5 (1999), 1077–1085  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
409. V. I. Arnol'd, R. M. Boricyuk, I. M. Gel'fand, Yu. S. Ilyashenko, V. Yu. Lunin, E. V. Nikolaev, Yu. B. Radvogin, M. A. Roitberg, Ya. G. Sinai, A. I. Khibnik, “Emmanuil El'evich Shnol' (on his 70th birthday)”, Russian Math. Surveys, 54:3 (1999), 677–683  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
410. V. I. Arnol'd, Yu. M. Berezanskii, Yu. L. Daletskii, S. S. Kutateladze, M. M. Lavrent'ev, Yu. G. Reshetnyak, E. M. Semenov, S. A. Sklyadnev, “Selim Grigor'evich Krein (on his 80th birthday)”, Russian Math. Surveys, 52:6 (1997), 1349–1350  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
411. V. I. Arnol'd, A. A. Bolibrukh, R. V. Gamkrelidze, V. P. Maslov, E. F. Mishchenko, S. P. Novikov, Yu. S. Osipov, Ya. G. Sinai, A. M. Stepin, L. D. Faddeev, “Dmitrii Viktorovich Anosov (on his 60th birthday)”, Russian Math. Surveys, 52:2 (1997), 437–445  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
412. V. I. Arnol'd, M. I. Vishik, A. S. Kalashnikov, V. P. Maslov, S. M. Nikol'skiĭ, S. P. Novikov, “Olga Arsenievna Oleinik (on her 70th birthday)”, J. Math. Sci. (New York), 85:6 (1997), 2249–2259  crossref  mathscinet
413. Yu. S. Osipov, A. A. Gonchar, S. P. Novikov, V. I. Arnol'd, G. I. Marchuk, P. P. Kulish, V. S. Vladimirov, E. F. Mishchenko, “Lyudvig Dmitrievich Faddeev (on his sixtieth birthday)”, Russian Math. Surveys, 50:3 (1995), 643–659  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
414. V. I. Arnol'd, M. Sh. Birman, I. M. Gel'fand, I. A. Ibragimov, S. V. Kerov, A. A. Kirillov, O. A. Ladyzhenskaya, G. A. Leonov, A. A. Lodkin, S. P. Novikov, Ya. G. Sinai, M. Z. Solomyak, L. D. Faddeev, “Anatolii Moiseevich Vershik (on his sixtieth birthday)”, Russian Math. Surveys, 49:3 (1994), 207–221  mathnet  crossref  mathscinet  adsnasa  isi  scopus
415. V. I. Arnold, “Ob A. N. Kolmogorove”, Kolmogorov v vospominaniyakh, Fizmatlit, M., 1993, 144–172  mathscinet
416. V. I. Arnol'd, “On A. N. Kolmogorov”, Golden years of Moscow mathematics, Hist. Math., 6, Amer. Math. Soc., Providence, RI, 1993, 129–153  mathscinet
417. V. I. Arnol'd, N. S. Bakhvalov, K. V. Brushlinskii, I. M. Gel'fand, R. L. Dobrushin, A. V. Zabrodin, I. A. Ibragimov, S. P. Kurdyumov, S. P. Novikov, D. E. Okhotsimskii, Yu. V. Prokhorov, Yu. B. Radvogin, Ya. G. Sinai, R. Z. Khas'minskii, A. S. Holevo, A. N. Shiryaev, T. M. Eneev, “Nikolai Nikolaevich Chentsov (obituary)”, Russian Math. Surveys, 48:2 (1993), 161–166  mathnet  crossref  mathscinet  adsnasa  isi
418. L. A. Sena, L. P. Feoktistov, Yu. N. Smirnov, S. S. Gershtein, V. I. Arnold, A. D. Dolgov, “Master”, Priroda, 1992, no. 2, 84–111  mathscinet
419. V. I. Arnol'd, A. M. Vershik, O. Ya. Viro, A. B. Korchagin, E. A. Leontovich-Andronova, S. P. Novikov, O. A. Oleinik, G. M. Polotovsky, G. A. Utkin, E. I. Shustin, “Dmitrii Andreevich Gudkov (obituary)”, Russian Math. Surveys, 47:6 (1992), 193–197  mathnet  crossref  mathscinet  zmath  adsnasa  isi
420. B. R. Vaĭnberg, V. A. Il'in, L. D. Kudryavtsev, V. B. Lidskiĭ, V. I. Arnol'd, V. P. Maslov, E. F. Mishchenko, V. Yu. Prikhod'ko, “Mikhail Vasil'evich Fedoryuk”, Differential Equations, 27:5 (1991), 639–640  mathnet  mathscinet  isi
421. V. I. Arnol'd, B. R. Vainberg, L. D. Kudryavtsev, V. P. Maslov, E. F. Mishchenko, V. P. Myasnikov, S. P. Novikov, O. A. Oleinik, “Mikhail Vasil'evich Fedoryuk (obituary)”, Russian Math. Surveys, 46:2 (1991), 237–240  mathnet  crossref  mathscinet  adsnasa  isi  scopus
422. V. I. Arnol'd, A. G. Vitushkin, E. A. Gorin, V. Ya. Lin, Yu. V. Nesterenko, V. M. Tikhomirov, P. L. Ul'yanov, A. B. Shidlovskii, M. A. Shubin, “Vyacheslav Alekseevich Oleinikov (obituary)”, Russian Math. Surveys, 45:1 (1990), 191–194  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
423. V. I. Arnol'd, O. Ya. Viro, E. A. Leontovich-Andronova, V. V. Nikulin, S. P. Novikov, O. A. Oleinik, G. M. Polotovsky, V. M. Kharlamov, “Dmitrii Andreevich Gudkov (on his seventieth birthday)”, Russian Math. Surveys, 44:1 (1989), 271–273  mathnet  crossref  mathscinet  adsnasa  isi  scopus
424. V. I. Arnol'd, L. M. Barkov, S. T. Belyaev, G. I. Dimov, B. B. Kadomtsev, E. P. Kruglyakov, I. N. Meshkov, D. D. Ryutov, V. A. Sidorov, A. N. Skrinskiĭ, “Boris Valerianovich Chirikov (on his sixtieth birthday)”, Soviet Phys. Uspekhi, 31:7 (1988), 682–683  mathnet  crossref  crossref  mathscinet  adsnasa  scopus
425. A. P. Aleksandrov, V. I. Arnol'd, A. S. Borovik-Romanov, E. P. Velikhov, S. S. Gershtein, V. L. Ginzburg, V. I. Gol'danskiǐ, Yu. M. Kagan, B. B. Kadomtsev, A. A. Ovchinnikov, L. B. Okun', L. P. Pitaevskii, A. M. Prokhorov, R. Z. Sagdeev, A. D. Sakharov, R. A. Syunyaev, I. M. Khalatnikov, Yu. B. Khariton, “Yakov Borisovich Zel'dovich (Obituary)”, Phys. Usp., 31:8 (1988), 778–779  mathnet  crossref  crossref  adsnasa  scopus
426. V. I. Arnold, M. I. Vishik, Yu. V. Egorov, A. S. Kalashnikov, S. P. Novikov, S. L. Sobolev, “Olga Arsenevna Oleinik (k shestidesyatiletiyu so dnya rozhdeniya)”, Tr. sem. I. G. Petrovskogo, 12, MGU, M., 1987, 3–21  mathscinet
427. V. I. Arnol'd, A. M. Vershik, O. Ya. Viro, A. N. Kolmogorov, S. P. Novikov, Ya. G. Sinai, D. B. Fuchs, “Vladimir Abramovich Rokhlin (obituary)”, Russian Math. Surveys, 41:3 (1986), 189–195  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
428. V. I. Arnol'd, M. I. Vishik, I. M. Gel'fand, Yu. V. Egorov, A. S. Kalashnikov, A. N. Kolmogorov, S. P. Novikov, S. L. Sobolev, “Ol'ga Arsen'evna Oleinik (on her sixtieth birthday)”, Russian Math. Surveys, 40:5 (1985), 267–287  mathnet  crossref  mathscinet  zmath  adsnasa  isi
429. V. I. Arnol'd, G. I. Barenblatt, V. L. Ginzburg, B. B. Kadomtsev, P. L. Kapitsa, L. B. Okun', L. P. Pitaevskiĭ, R. Z. Sagdeev, R. A. Syunyaev, L. D. Faddeev, V. Ya. Frenkel', Yu. B. Khariton, “Yakov Borisovich Zel'dovich (on his seventieth birthday).”, Soviet Phys. Uspekhi, 27:3 (1984), 230–232  mathnet  crossref  crossref  mathscinet  adsnasa  scopus
430. D. V. Anosov, V. I. Arnol'd, M. I. Zelikin, A. N. Kolmogorov, O. V. Lokutsievskii, Yu. S. Osipov, Ya. G. Sinai, V. M. Tikhomirov, M. V. Jakobson, “Vladimir Mikhailovich Alekseev (obituary)”, Russian Math. Surveys, 36:4 (1981), 201–206  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
431. N. N. Bogolyubov, R. V. Khokhlov, P. S. Aleksandrov, A. N. Kolmogorov, A. N. Tikhonov, V. A. Trapeznikov, G. M. Frank, I. M. Gel'fand, S. V. Emel'yanov, L. A. Lyusternik, D. E. Men'shov, P. S. Novikov, V. I. Siforov, V. M. Alekseev, V. I. Arnol'd, Yu. V. Egorov, N. V. Efimov, D. P. Zhelobenko, O. V. Lokutsievskii, Yu. I. Manin, V. P. Maslov, A. I. Markushevich, I. A. Ovseevich, O. A. Oleinik, Ya. G. Sinai, Yu. M. Smirnov, V. M. Tikhomirov, V. G. Karmanov, E. V. Maikov, E. A. Morozova, Z. Ya. Shapiro, A. F. Lapko, É. S. Rakova, “Sergei Vasil'evich Fomin (obituary)”, Russian Math. Surveys, 30:5 (1975), 1  mathnet  crossref
432. P. S. Aleksandrov, V. I. Arnol'd, I. M. Gel'fand, A. N. Kolmogorov, S. P. Novikov, O. A. Oleinik, “Ivan Georgievich Petrovskii (on his seventieth birthday)”, Russian Math. Surveys, 26:2 (1971), 5–28  mathnet  crossref  mathscinet  zmath  adsnasa
433. V. I. Arnol'd, I. M. Gel'fand, Yu. I. Manin, B. G. Moishezon, S. P. Novikov, I. R. Shafarevich, “Galina Nikolaevna Tyurina (obituary)”, Russian Math. Surveys, 26:1 (1971), 193–198  mathnet  crossref  mathscinet  zmath  adsnasa  scopus

Miscellaneous

434. Osobennosti gladkikh otobrazhenii s dopolnitelnymi strukturami, Sbornik statei, Tr. MIAN, 209, ed. V. I. Arnold, E. F. Mischenko, Nauka, Fizmatlit, M., 1995 , 270 pp.  mathnet  zmath
435. Osobennosti differentsiruemykh otobrazhenii, eds. V. I. Arnold, Mir, M., 1968 , 268 pp.  mathscinet

Letters, errata

436. V. I. Arnol'd, V. A. Vasil'ev, “Addendum to: “Newton's Principia read 300 years later””, Notices Amer. Math. Soc., 37:2 (1990), 144  mathscinet  zmath
437. V. I. Arnol'd, “Correction: “Wave front evolution and equivariant Morse lemma””, Comm. Pure Appl. Math., 30:6 (1977), 823  crossref  mathscinet  zmath  scopus 1
438. V. I. Arnol'd, “A letter to the editors”, Uspekhi Mat. Nauk, 23:6(144) (1968), 216  mathnet  mathscinet  zmath
439. V. I. Arnol'd, “Corrections to the Milnor's paper”, Uspekhi Mat. Nauk, 21:1(127) (1966), 237  mathnet
440. V. I. Arnold, Ya. G. Sinai, “Popravka”, Dokl. AN SSSR, 150:5 (1963), 958  mathnet
441. V. I. Arnol'd, “Letter to the Editor”, Mat. Sb. (N.S.), 56(98):3 (1962), 392  mathnet  mathscinet  zmath; Dynamical systems I: Ordinary differential equations and smooth dynamical systems, Encyclopaedia of Mathematical Sciences, 1, 1st ed., Springer-Verlag, Berlin–Heidelberg, 1988  crossref  mathscinet  zmath; 2nd printing, 1994, ix+233 pp.
442. V. I. Arnol'd, “A branched covering of $\mathrm{CP^2}\to S^4$, hyperbolicity and projectivity topology”, Siberian Mathematical Journal, 29:5 (1988), 717–726  mathnet  crossref  mathscinet  zmath  scopus

Presentations in Math-Net.Ru
1. It an accident quadratic residues?
V. I. Arnol'd
Scientific conference "Selected Problems of Contemporary Mathematics" dedicated to the 60th anniversary of V. V. Kozlov
January 11, 2010 11:05   
2. Измерение объективной степени случайности конечного набора точек
V. I. Arnol'd
Meetings of the Moscow Mathematical Society
September 8, 2009
3. Об истории обобщенных функций
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2009
July 28, 2009 17:00   
4. Измерение объективной степени случайности конечного набора точек. Лекция 5
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2009
July 27, 2009 15:30   
5. Измерение объективной степени случайности конечного набора точек. Лекция 3
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2009
July 23, 2009 09:30   
6. Измерение объективной степени случайности конечного набора точек. Лекция 2
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2009
July 21, 2009 17:00   
7. Измерение объективной степени случайности конечного набора точек. Лекция 1
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2009
July 19, 2009 11:15   
8. Как узнать, случайна ли конечная последовательность чисел?
V. I. Arnol'd
Meetings of the Moscow Mathematical Society
September 23, 2008
9. Continued fractions of square roots of the integers. Part 5
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2008
July 28, 2008 11:15   
10. Continued fractions of square roots of the integers. Part 4
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2008
July 24, 2008 11:15   
11. Continued fractions of square roots of the integers. Part 3
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2008
July 22, 2008 15:30   
12. Continued fractions of square roots of the integers. Part 2
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2008
July 21, 2008 11:15   
13. Continued fractions of square roots of the integers. Part 1
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2008
July 19, 2008 09:30   
14. Statistics of the Morse theory of smooth functions
V. I. Arnol'd
International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of L. S. Pontryagin
June 20, 2008 09:00   
15. Статистика арифметики собственных чисел
V. I. Arnol'd
Meetings of the Moscow Mathematical Society
September 18, 2007
16. Statistic of periodic and multi-dimensional continuous fractions
V. I. Arnol'd
International conference "Analysis and Singularities" dedicated to 70th anniversary of Vladimir Igorevich Arnold
August 22, 2007 09:00   
17. Topological classification of Morse functions and 16th Hilbert problem
V. I. Arnol'd
International conference "Analysis and Singularities" dedicated to 70th anniversary of Vladimir Igorevich Arnold
August 20, 2007 11:00   
18. Quadratic irrational numbers, their continued fractions and palindromes. Part 5
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2007
July 28, 2007 17:10   
19. Quadratic irrational numbers, their continued fractions and palindromes. Part 4
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2007
July 25, 2007 15:30   
20. Quadratic irrational numbers, their continued fractions and palindromes. Part 3
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2007
July 23, 2007 15:30   
21. Quadratic irrational numbers, their continued fractions and palindromes. Part 2
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2007
July 22, 2007 09:40   
22. Quadratic irrational numbers, their continued fractions and palindromes. Part 1
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2007
July 21, 2007 11:15   
23. On the number of domains for arrangements of lines in the plane
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2007
July 20, 2007 11:30   
24. Статистика чисел Фробениуса аддитивных полугрупп и геометрия цепных дробей
V. I. Arnol'd
Meetings of the Moscow Mathematical Society
December 12, 2006
25. Статиска топологии тригонометрических многочленов и 16-я проблема Гильберта
V. I. Arnol'd
Meetings of the Moscow Mathematical Society
September 12, 2006
26. Сложности конечных последовательностей нулей и единиц
V. I. Arnol'd
Meetings of the Moscow Mathematical Society
November 22, 2005
27. Статистика гладких функций
V. I. Arnol'd
Meetings of the Moscow Mathematical Society
September 6, 2005
28. Статистика топологии и алгебры. Лекция 2
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2005
July 27, 2005 09:30   
29. Статистика топологии и алгебры. Лекция 1
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2005
July 26, 2005 09:30   
30. Топология нулей собственных полей
V. I. Arnol'd
Meetings of the Moscow Mathematical Society
November 30, 2004
31. Theoretical and numerical turbulence and statistics of large Young diagrams
V. I. Arnol'd
Steklov Mathematical Institute Seminar
October 28, 2004 16:00   
32. Матричная теорема Эйлера–Ферма
V. I. Arnol'd
Meetings of the Moscow Mathematical Society
October 12, 2004
33. Пересечение высот треугольников в геометрии Лобачевского и тождество Якоби алгебры Ли квадратичных форм на симплектической плоскости
V. I. Arnol'd
Meetings of the Moscow Mathematical Society
September 7, 2004
34. Topology of algebra and arithmetic of hydrodynamics. Part 2
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2005
July 21, 2003   
35. Topology of algebra and arithmetic of hydrodynamics. Part 1
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2005
July 20, 2003   
36. Fermat–Euler dynamical systems and the statistics of random points on a circle
V. I. Arnol'd
Popular Lectures on Mathematics given at Malyi Mekhmat
December 14, 2002   
37. Astroidal geometry and topology. Part 2
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2001
July 18, 2001   
38. Astroidal geometry and topology. Part 1
V. I. Arnol'd
Summer School "Contemporary Mathematics", 2001
July 17, 2001   
39. Topological questions of wave propagation
V. I. Arnol'd
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
October 16, 1997
40. Topological classification of complex and real trigonometric polynomials and graph enumeration
V. I. Arnol'd
Meetings of the St. Petersburg Mathematical Society
October 16, 1997
41. Topological questions of wave propagation
V. I. Arnol'd
Meetings of the St. Petersburg Mathematical Society
October 16, 1997
42. A topological meaning of Maxwell's theorem on multi-field representation of spherical functions
V. I. Arnol'd
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
October 15, 1997

Books in Math-Net.Ru
  1. V. I. Arnol'd, Experimental observation of mathematical facts, 2012, 120 с.
    http://mi.mathnet.ru/book2027
  2. V. I. Arnol'd, Real algebraic geometry, 2009, 88 с.
    http://mi.mathnet.ru/book2033
  3. V. I. Arnol'd, Astroidal geometry of hypocycloids and Hessian topology of hyperbolic polynomials, 2001, 80 с.
    http://mi.mathnet.ru/book2016
  4. Singularities of smooth mappings with additional structures, Collection of articles, Trudy Mat. Inst. Steklov., 209, ed. V. I. Arnol'd, E. F. Mishchenko, 1995, 270 с.
    http://mi.mathnet.ru/book1077

Organisations