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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)

   2011
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, Dynamics, statistics and projective geometry of Galois fields, Cambridge University Press, Cambridge, 2011 , x+80 pp.  mathscinet  zmath
3. 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

   2010
4. 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
5. Vladimir I. Arnold, “Mathematics of chaos”, Mosc. Math. J., 10:2 (2010), 273–283  mathnet  crossref  mathscinet  isi  elib  scopus 3
6. V. I. Arnold, “Gibbs phenomenon for Fourier series on finite sets”, Funct. Anal. Other Math., 3:1 (2010), 91–96  crossref  mathscinet  zmath
7. 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
8. 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
9. V. I. Arnol'd, “Are quadratic residues random?”, Nelin. Dinam., 6:3 (2010), 513–520  mathnet  elib

   2009
10. V. I. Arnold, Veschestvennaya algebraicheskaya geometriya, MTsNMO, M., 2009 , 88 pp.
11. V. I. Arnold, Geometriya kompleksnykh chisel, kvaternionov i spinov, 2-e izd., stereotipnoe, MTsNMO, M., 2009 , 40 pp.
12. V. I. Arnold, Tsepnye drobi, 2-e izd., stereotipnoe, MTsNMO, M., 2009 , 40 pp.
13. V. I. Arnold, A. N. Varchenko, S. M. Gusein-Zade, Osobennosti differentsiruemykh otobrazhenii, 3-e izd., stereotipnoe, MTsNMO, M., 2009 , 672 pp.
14. V. I. Arnold, Matematicheskoe ponimanie prirody (ocherki udivitelnykh fizicheskikh yavlenii i ikh ponimaniya matematikami), MTsNMO, M., 2009 , 144 pp.
15. V. I. Arnold, Statistika podslov, Lektsiya v shkole «Sovremennaya matematika» (Ob'edinennyi institut yadernykh issledovanii, Dubna, Ratmino, iyul 2009), MTsNMO, M., 2009 , 10 pp.
16. 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.
17. V. I. Arnold, “Random and algebraic permutations' statistics”, Funct. Anal. Other Math., 2:2-4 (2009), 247–248  crossref  mathscinet  zmath 1
18. 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
19. 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
20. 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
21. 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
22. 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
23. 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
24. V. I. Arnold, “Permutations”, Russian Math. Surveys, 64:4 (2009), 583–624  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
25. 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

   2008
26. V. I. Arnold, “On additive semigroups starting parts”, Funct. Anal. Other Math., 2:1 (2008), 81–86  crossref  mathscinet  zmath
27. 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
28. V. Arnold, “Orbits' statistics in chaotic dynamical systems”, Nonlinearity, 21:7 (2008), T109–T112  crossref  mathscinet  zmath  isi  scopus 21
29. 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
30. 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

   2007
31. 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
32. V. I. Arnold, Eksperimentalnoe nablyudenie matematicheskikh faktov, MTsNMO, M., 2007 , 120 pp.
33. V. I. Arnold, B. A. Khesin, Topologicheskie metody v gidrodinamike, MTsNMO, M., 2007 , 392 pp.
34. 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
35. 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
36. 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

   2006
37. V. I. Arnold, Ordinary differential equations, Universitext, Springer-Verlag, Berlin, 2006 , ii+334 pp.  mathscinet
38. V. I. Arnold, “Smooth functions statistics”, Funct. Anal. Other Math., 1:2 (2006), 111–118  crossref  mathscinet  zmath 10
39. 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
40. 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
41. 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
42. 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
43. 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
44. 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
45. 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
46. 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
47. 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

   2005
48. V. I. Arnold, “On the topology of the eigenfields”, Topol. Methods Nonlinear Anal., 26:1 (2005), 9–16  crossref  mathscinet  zmath  isi 3
49. 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
50. 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
51. 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
52. 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
53. V. I. Arnold, Dinamika, statistika i proektivnaya geometriya polei Galua, MTsNMO, M., 2005 , 72 pp.
54. 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
55. 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

   2004
56. 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
57. V. I. Arnold, “Zhestkie” i “myagkie” matematicheskie modeli, 2-e izd., stereotipnoe, MTsNMO, M., 2004 , 32 pp.
58. V. I. Arnold, A. N. Varchenko, S. M. Gusein-Zade, Osobennosti differentsiruemykh otobrazhenii, 2-e izd., ispravlennoe, MTsNMO, M., 2004 , 672 pp.
59. 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
60. V. I. Arnol'd, “The matrix Euler–Fermat theorem”, Izv. Math., 68:6 (2004), 1119–1128  mathnet  crossref  crossref  mathscinet  zmath  zmath  isi  scopus
61. 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
62. 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

   2003
63. 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
64. V. I. Arnold, Gruppy Eilera i arifmetika geometricheskikh progressii, MTsNMO, M., 2003 , 44 pp.
65. 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
66. 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
67. V. I. Arnol'd, “Frequent representations”, Mosc. Math. J., 3:4 (2003), 1209–1221  mathnet  crossref  mathscinet  zmath  isi 8
68. 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
69. 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

   2002
70. 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
71. V. I. Arnold, Geometricheskie metody v teorii obyknovennykh differentsialnykh uravnenii, MTsNMO, M., 2002 , 400 pp.
72. V. I. Arnold, Geometriya kompleksnykh chisel, kvaternionov i spinov, MTsNMO, M., 2002 , 40 pp.
73. 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
74. 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
75. V. I. Arnol'd, “Pseudoquaternion Geometry”, Funct. Anal. Appl., 36:1 (2002), 1–12  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   2001
76. V. I. Arnold, Astroidalnaya geometriya gipotsikloid i gessianova topologiya giperbolicheskikh mnogochlenov, MTsNMO, M., 2001 , 80 pp.
77. V. I. Arnold, Tsepnye drobi, MTsNMO, M., 2001 , 40 pp.
78. V. I. Arnol'd, A. B. Givental', “Symplectic geometry”, Dynamical systems, IV, Encyclopaedia Math. Sci., 4, Springer, Berlin, 2001, 1–138  crossref  mathscinet 37
79. 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
80. 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
81. 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

   2004
82. V. I. Arnold, Arnold's problems, Springer-Verlag, Berlin, 2004 , xvi+639 pp.  mathscinet  mathscinet  zmath

   2000
83. V. I. Arnol'd, “On A. N. Kolmogorov”, Kolmogorov in perspective, Hist. Math., 20, Amer. Math. Soc., Providence, RI, 2000, 89–108  mathscinet
84. V. Arnold, “Singularity theory”, Development of mathematics 1950–2000, Birkhäuser, Basel, 2000, 63–95  crossref  mathscinet  zmath 1
85. V. Arnold, “Dynamical systems”, Development of mathematics 1950–2000, Birkhäuser, Basel, 2000, 33–61  crossref  mathscinet  zmath 1
86. V. I. Arnold, “Symplectic geometry and topology”, J. Math. Phys., 41:6 (2000), 3307–3343  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 24
87. 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
88. V. Arnold, “Repartitioning the world”, Quantum, 10:3 (2000), 34–37  mathscinet
89. V. I. Arnold, “Zhestkie” i “myagkie” matematicheskie modeli, MTsNMO, M., 2000 , 32 pp.
90. V. I. Arnol'd, “The Complex Lagrangian Grassmannian”, Funct. Anal. Appl., 34:3 (2000), 208–210  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
91. V. I. Arnol'd, “From Averaging to Statistical Physics”, Proc. Steklov Inst. Math., 228 (2000), 184–190  mathnet  mathscinet  zmath

   1999
92. V. I. Arnold, “First steps of local contact algebra”, Canad. J. Math., 51:6 (1999), 1123–1134  crossref  mathscinet  zmath  isi  elib  scopus 8
93. 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
94. 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
95. 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
96. 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
97. 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
98. 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
99. 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
100. 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
101. V. I. Arnol'd, “Simple Singularities of Curves”, Proc. Steklov Inst. Math., 226 (1999), 20–28  mathnet  mathscinet  zmath
102. V. I. Arnol'd, “Topological Problems of the Theory of Asymptotic Curves”, Proc. Steklov Inst. Math., 225 (1999), 5–15  mathnet  mathscinet  zmath
103. 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
104. 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

   1998
105. 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
106. V. I. Arnold, “Higher-dimensional continued fractions”, Regul. Chaotic Dyn., 3:3 (1998), 10–17  mathnet  crossref  mathscinet  zmath  elib  scopus 28
107. 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
108. V. I. Arnold, ““Hard” and “soft” mathematical models”, Butl. Soc. Catalana Mat., 13:1 (1998), 7–26  mathscinet
109. 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
110. V. I. Arnold, From Hilbert's superposition problem to dynamical systems, Preprint №1998-14, CEREMADE, Université Paris-Dauphine, Paris, 1998
111. V. I. Arnold, Symplectisation, complexification and mathematical trinities, Preprint №1998-15, CEREMADE, Université Paris-Dauphine, Paris, 1998
112. 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
113. V. I. Arnold, Topological problems of the theory of asymptotic curves, Preprint №1998-27, CEREMADE, Université Paris-Dauphine, Paris, 1998
114. V. I. Arnold, On the realization of the given Gaussian curvature function, Preprint №1998-09, CEREMADE, Université Paris-Dauphine, Paris, 1998
115. 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
116. 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
117. 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
118. V. I. Arnol'd, “Singularities of Fractions and Behavior of Polynomials at Infinity”, Proc. Steklov Inst. Math., 221 (1998), 40–59  mathnet  mathscinet  zmath

   1997
119. V. I. Arnold, Izbrannoe-60, Fazis, M., 1997 , xviii+770 pp.  mathscinet  zmath

   2004
120. V. I. Arnold, Lectures on partial differential equations, Universitext, Springer-Verlag, Berlin, 2004 , x+157 pp.  crossref  mathscinet  mathscinet

   1997
121. 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
122. 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
123. 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
124. 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; 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. 78
125. 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
126. 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
127. V. I. Arnol'd, “Mathematics and Mathematical Education in Contemporary World”, Math. Ed., 1997, no. 2, 109–112  mathnet

   1996
128. V. I. Arnold, Osobennosti kaustik i volnovykh frontov, Biblioteka matematika, 1, Fazis, M., 1996 , x+334 pp.  mathscinet
129. 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
130. 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
131. 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
132. 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
133. 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
134. 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

   1995
135. 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
136. 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
137. 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
138. V. I. Arnol'd, “Invariants and perestroikas of plane fronts”, Proc. Steklov Inst. Math., 209 (1995), 11–56  mathnet  mathscinet  zmath
139. 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

   1994
140. 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
141. 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
142. 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
143. 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
144. 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

   1995
145. 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

   1993
146. V. Arnol'd, “Problems on singularities and dynamical systems”, Developments in mathematics: the Moscow school, Chapman & Hall, London, 1993, 251–274  mathscinet  zmath
147. 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
148. 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

   1992
149. 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
150. V. I. Arnol'd, “Springer numbers and Morsification spaces”, J. Algebraic Geom., 1:2 (1992), 197–214  mathscinet  zmath

   1993
151. V. I. Arnol'd, “Poly-integrable flows”, St. Petersburg Math. J., 4:6 (1993), 1103–1110  mathnet  mathscinet  zmath
152. 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

   1992
153. 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

   1991
154. V. I. Arnol'd, “Cardiac arrhythmias and circle mappings”, Chaos, 1:1 (1991), 20–24  crossref  mathscinet  zmath  adsnasa  isi  scopus 43
155. 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
156. V. I. Arnol'd, The theory of singularities and its applications, Lezioni Fermiane, Accademia Nazionale dei Lincei, Rome, 1991 , 73 pp.  mathscinet  zmath
157. 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

   2006
158. 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

   1990
159. 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
160. 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
161. V. I. Arnol'd, “Contact geometry and wave propagation”, Enseign. Math. (2), 36:3-4 (1990), 215–266  mathscinet  zmath
162. 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

   1992
163. V. I. Arnol'd, Catastrophe theory, Springer-Verlag, Berlin, 1992 , xiv+150 pp.  mathscinet  mathscinet  zmath

   1990
164. 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
165. V. I. Arnol'd, “Dynamics of intersections”, Analysis, et cetera, Academic Press, Boston, MA, 1990, 77–84  crossref  mathscinet 8

   1989
166. 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
167. V. I. Arnol'd, “Bifurcations and singularities in mathematics and mechanics”, Theoretical and applied mechanics (Grenoble, 1988), North-Holland, Amsterdam, 1989, 1–25  mathscinet
168. 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
169. 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
170. V. I. Arnol'd, “Spaces of functions with moderate singularities”, Funct. Anal. Appl., 23:3 (1989), 169–177  mathnet  crossref  mathscinet  zmath  isi  scopus
171. 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
172. 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

   1988
173. 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
174. V. I. Arnol'd, “Remarks on quasicrystallic symmetries”, Phys. D, 33:1–3 (1988), 21–25  crossref  mathscinet  zmath  isi  elib  scopus 27
175. Siberian Math. J., 29:5 (1988), 717–726 (1989)  mathnet  crossref  mathscinet  mathscinet  zmath  zmath  isi  isi  scopus
176. 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
177. 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
178. 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
179. 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
180. 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
181. V. I. Arnol'd, “Surfaces defined by hyperbolic equations”, Math. Notes, 44:1 (1988), 489–497  mathnet  crossref  mathscinet  zmath  isi  scopus
182. 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
183. 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
184. 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

   1989
185. J. Soviet Math., 47:3 (1989), 2509–2516  crossref  mathscinet  zmath  scopus

   1987
186. 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
187. V. Arnol'd, “First steps of symplectic topology”, VIIIth international congress on mathematical physics (Marseille, 1986), World Sci. Publ., Singapore, 1987, 1–16  mathscinet
188. Siberian Math. J., 28:4 (1987), 540–542  mathnet  crossref  mathscinet  mathscinet  zmath  zmath  isi  isi  scopus

   1986
189. 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
190. V. I. Arnol'd, Catastrophe theory, Springer-Verlag, Berlin, 1986 , xiv+108 pp.  mathscinet
191. V. I. Arnol'd, “The asymptotic Hopf invariant and its applications”, Selecta Math. Soviet., 5:4 (1986), 327–345  mathscinet  zmath
192. V. I. Arnol'd, “Hyperbolic polynomials and Vandermonde mappings”, Funct. Anal. Appl., 20:2 (1986), 125–127  mathnet  crossref  mathscinet  zmath  isi  scopus
193. 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
194. 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
195. V. I. Arnol'd, “First steps in symplectic topology”, Russian Math. Surveys, 41:6 (1986), 1–21  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1985
196. V. I. Arnol'd, Equações diferenciais ordinárias, Mir, Moscow, 1985 , 327 pp.  mathscinet
197. V. I. Arnol'd, Matematicheski metodi na klasicheskata mekhanika, Ed. 2, Nauka i Izkustvo, Sofia, 1985 , 448 pp. (Bulgarian)  mathscinet
198. V. I. Arnol'd, “Singularities, bifurcations and catastrophes”, Fiz.-Mat. Spis. B"lgar. Akad. Nauk., 27(60):1 (1985), 25–48 (Bulgarian)  mathscinet  zmath
199. V. I. Arnol'd, “The Sturm theorems and symplectic geometry”, Funct. Anal. Appl., 19:4 (1985), 251–259  mathnet  crossref  mathscinet  zmath  isi  scopus
200. 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
201. 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

   1988
202. V. I. Arnol'd, Yu. S. Ilyashenko, “Ordinary differential equations”, Encyclopaedia Math. Sci., 1 (1988), 1–148  mathnet  mathscinet  zmath  zmath

   1984
203. V. I. Arnold, “Ob evolyutsii magnitnogo polya pod deistviem perenosa i diffuzii”, Nekotorye voprosy sovremennogo analiza, Izd-vo MGU, M., 1984, 8–21  mathscinet
204. V. I. Arnold, “Exponential scattering of trajectories and its hydrodynamic applications”, N. E. Kochin i razvitie mekhaniki, Nauka, M., 1984, 185–193  mathscinet
205. 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
206. 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
207. 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

   1988
208. 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

   1984
209. 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
210. 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
211. V. I. Arnol'd, “Vanishing inflections”, Funct. Anal. Appl., 18:2 (1984), 128–130  mathnet  crossref  mathscinet  zmath  isi  scopus

   1983
212. 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
213. V. I. Arnol'd, “Singularities, bifurcations and catastrophes”, Soviet Phys. Uspekhi, 26:12 (1983), 1025–1037  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  scopus
214. W. I. Arnold, Teoria równań różniczkowych, PWN, Warsaw, 1983 , 299 pp.  mathscinet
215. 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
216. 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

   1984
217. V. I. Arnol'd, Catastrophe theory, Springer-Verlag, Berlin, 1984 , iv+79 pp.  mathscinet  zmath  adsnasa

   1983
218. V. I. Arnold, Teoriya katastrof, 2-e izd., dop., MGU, M., 1983

   1984
219. V. I. Arnol'd, “Singularities in the calculus of variations”, J. Soviet Math., 27:3 (1984), 2679–2713  mathnet  crossref  mathscinet  zmath  zmath  scopus

   1983
220. 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
221. 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
222. 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

   1982
223. 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

   1985
224. 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

   1982
225. 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
226. 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
227. 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
228. 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

   1981
229. W. I. Arnold, Metody matematyczne mechaniki klasycznej, PWN, Warsaw, 1981 , 430 pp.  mathscinet  zmath
230. 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
231. 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
232. 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
233. 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

   1980
234. V. Arnol'd, “On some problems in singularity theory”, Geometry and analysis, Indian Acad. Sci., Bangalore, 1980, 1–9  mathscinet
235. V. I. Arnol'd, “Lagrange and Legendre cobordisms. II”, Funct. Anal. Appl., 14:4 (1980), 252–260  mathnet  crossref  mathscinet  zmath  isi  scopus
236. V. I. Arnol'd, “Lagrange and legendre cobordisms. I”, Funct. Anal. Appl., 14:3 (1980), 167–177  mathnet  crossref  mathscinet  zmath  isi  scopus
237. V. I. Arnol'd, “Statistics of integral convex polygons”, Funct. Anal. Appl., 14:2 (1980), 79–81  mathnet  crossref  mathscinet  zmath  scopus

   1979
238. 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
239. 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
240. 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

   1978
241. V. I. Arnol'd, Ordinary differential equations, MIT Press, Cambridge, MA–London, 1978 , ix+280 pp.  mathscinet
242. 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
243. 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
244. 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

   1977
245. 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

   1976
246. V. Arnold, Les méthodes mathématiques de la mécanique classique, Mir, Moscow, 1976 , 470 pp.  mathscinet  zmath
247. 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
248. V. I. Arnold, “Spektralnye posledovatelnosti dlya privedeniya funktsii k normalnym formam”, Zadachi mekhaniki i matematicheskoi fiziki, Nauka, M., 1976, 7–20  mathscinet
249. V. I. Arnold, “Local normal forms of functions”, Invent. Math., 35 (1976), 87–109  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 95
250. 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
251. 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

   1975
252. W. I. Arnold, Równania różniczkowe zwyczajne, PWN, Warsaw, 1975 , 264 pp.  mathscinet  zmath
253. 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
254. 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
255. V. I. Arnol'd, “Classification of bimodal critical points of functions”, Funct. Anal. Appl., 9:1 (1975), 43–44  mathnet  crossref  mathscinet  zmath  scopus
256. 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

   1974
257. 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
258. V. I. Arnold, Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1974 , 431 pp.  mathscinet
259. 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

   1973
260. V. I. Arnol'd, Ordinary differential equations, MIT Press, Cambridge, MA–London, 1973 , ix+280 pp.  mathscinet  zmath
261. V. I. Arnol'd, “Classification of unimodal critical points of functions”, Funct. Anal. Appl., 7:3 (1973), 230–231  mathnet  crossref  mathscinet  zmath  scopus
262. 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

   1972
263. 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
264. 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
265. 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
266. V. I. Arnol'd, “Modes and quasimodes”, Funct. Anal. Appl., 6:2 (1972), 94–101  mathnet  crossref  mathscinet  zmath  scopus
267. V. I. Arnol'd, “Lectures on bifurcations in versal families”, Russian Math. Surveys, 27:5 (1972), 54–123  mathnet  crossref  mathscinet  zmath  adsnasa  scopus

   1971
268. V. I. Arnold, Obyknovennye differentsialnye uravneniya, Nauka, M., 1971 , 239 pp.  mathscinet
269. 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
270. V. I. Arnol'd, “On matrices depending on parameters”, Russian Math. Surveys, 26:2 (1971), 29–43  mathnet  crossref  mathscinet  zmath  adsnasa  scopus

   1970
271. V. I. Arnold, “O lokalnykh zadachakh analiza”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1970, no. 2, 52–56  mathscinet
272. V. I. Arnold, “O nekotorykh topologicheskikh invariantakh algebraicheskikh funktsii”, Tr. MMO, 21, MGU, M., 1970, 27–46  mathnet  mathscinet  zmath 26
273. 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
274. V. I. Arnol'd, “Topological invariants of algebraic functions. II”, Funct. Anal. Appl., 4:2 (1970), 91–98  mathnet  crossref  mathscinet  zmath  zmath  scopus
275. 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
276. 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

   1969
277. 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
278. 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
279. 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
280. 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

   1968
281. V. I. Arnold, “Problema ustoichivosti i ergodicheskie svoistva klassicheskikh dinamicheskikh sistem”, Trudy mezhdunarodnogo kongressa matematikov (Moskva, 1966), Mir, M., 1968, 387–392  mathscinet
282. 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
283. V. I. Arnol'd, “Braids of algebraic functions and cohomologies of swallowtails”, Uspekhi Mat. Nauk, 23:4(142) (1968), 247–248  mathnet  mathscinet  zmath
284. V. I. Arnol'd, “Singularinies of smooth mappings”, Russian Math. Surveys, 23:1 (1968), 1–43  mathnet  crossref  mathscinet  zmath  adsnasa
285. 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

   1967
286. V. I. Arnol'd, “A note on Weierstrass' auxiliary theorem”, Funct. Anal. Appl., 1:3 (1967), 173–179  mathnet  crossref  mathscinet  zmath  zmath  scopus
287. V. I. Arnol'd, “Characteristic class entering in quantization conditions”, Funct. Anal. Appl., 1:1 (1967), 1–13  mathnet  crossref  mathscinet  zmath  scopus

   1966
288. 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
289. 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
290. 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

   1965
291. V. I. Arnold, “Ustoichivost i neustoichivost v klassicheskoi mekhanike”, Vtoraya letnyaya matematicheskaya shkola, Chast II, Naukova dumka, Kiev, 1965, 85–119  mathscinet
292. 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
293. V. Arnol'd, “Sur la topologie des écoulements stationnaires des fluides parfaits”, C. R. Acad. Sci. Paris, 261 (1965), 17–20  mathscinet  zmath
294. 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
295. 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
296. V. Arnol'd, “Sur la courbure de Riemann des groupes de difféomorphismes”, C. R. Acad. Sci. Paris, 260 (1965), 5668–5671  mathscinet  zmath

   1964
297. V. I. Arnold, “O neustoichivosti dinamicheskikh sistem so mnogimi stepenyami svobody”, Dokl. AN SSSR, 156:1 (1964), 9–12  mathnet  mathscinet  mathscinet  zmath 40
298. 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

   1963
299. 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

   1967
300. 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

   1963
301. 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
302. 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
303. 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

   1962
304. 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
305. 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
306. 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

   1961
307. V. I. Arnold, “Zamechaniya o chislakh vrascheniya”, Sib. matem. zhurn., 2:6 (1961), 807–813  mathnet  mathscinet  mathscinet  zmath 3
308. V. I. Arnold, “Neskolko zamechanii o potokakh lineinykh elementov i reperov”, Dokl. AN SSSR, 138:2 (1961), 255–257  mathnet  mathscinet 2
309. 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
310. 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
311. 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
312. V. I. Arnol'd, “Test for nomographability using Descartes' rectilinear abacus”, Uspekhi Mat. Nauk, 16:4(100) (1961), 133–135  mathnet  mathscinet  zmath

   1960
313. V. I. Arnol'd, “The representation of functions of several variables”, Pokroky Mat. Fys. Astronom., 5 (1960), 399–416  mathscinet  zmath
314. 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
315. V. I. Arnol'd, “On analytic mappings of the circle into itself”, Uspekhi Mat. Nauk, 15:2(92) (1960), 212–214  mathnet

   1959
316. 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

   1963
317. V. I. Arnol'd, “On functions of three variables”, Amer. Math. Soc. Transl. (2), 28 (1963), 51–54  mathnet  mathscinet  mathscinet  zmath  zmath

   1957
318. 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

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

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