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:
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; Russian Math. Surveys, 18:6 (1963), 85–191
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)
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
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; Funct. Anal. Appl., 5:3 (1971), 169–176
V. I. Arnol'd, Singularities of caustics and wave fronts, Math. Appl. (Soviet Ser.), 62, Kluwer Academic Publishers Group, Dordrecht, 1990, xiv+259 pp.
V. I. Arnold, “Topological properties of eigenoscillations in mathematical physics”, Proc. Steklov Inst. Math., 273 (2011), 25–34 (cited: 2)
2.
V. I. Arnold, Dynamics, statistics and projective geometry of Galois fields, Cambridge University Press, Cambridge, 2011 , x+80 pp. (cited: 5)
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
4.
V. I. Arnol'd, Mat. Pros., 15, MCCME, Moscow, 2011, 89–106
2010
5.
V. I. Arnold, “Topological classification of Morse polynomials”, Proc. Steklov Inst. Math., 268 (2010), 32–48 (cited: 2) (cited: 1) (cited: 1)
6.
Vladimir I. Arnold, “Mathematics of chaos”, Mosc. Math. J., 10:2 (2010), 273–283 (cited: 1)
7.
V. I. Arnold, “Gibbs phenomenon for Fourier series on finite sets”, Funct. Anal. Other Math., 3:1 (2010), 91–96
8.
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
9.
V. I. Arnol'd, “Are quadratic residues random?”, Regul. Chaotic Dyn., 15:4-5 (2010), 425–430 (cited: 1) (cited: 1) (cited: 1)
10.
V. I. Arnol'd, “Are quadratic residues random?”, Nelin. Dinam., 6:3 (2010), 513–520
2009
11.
V. I. Arnold, Veschestvennaya algebraicheskaya geometriya, MTsNMO, M., 2009 , 88 pp.
12.
V. I. Arnold, Geometriya kompleksnykh chisel, kvaternionov i spinov, 2-e izd., stereotipnoe, MTsNMO, M., 2009 , 40 pp.
13.
V. I. Arnold, Tsepnye drobi, 2-e izd., stereotipnoe, MTsNMO, M., 2009 , 40 pp.
14.
V. I. Arnold, A. N. Varchenko, S. M. Gusein-Zade, Osobennosti differentsiruemykh otobrazhenii, 3-e izd., stereotipnoe, MTsNMO, M., 2009 , 672 pp.
15.
V. I. Arnold, Matematicheskoe ponimanie prirody (ocherki udivitelnykh fizicheskikh yavlenii i ikh ponimaniya matematikami), MTsNMO, M., 2009 , 144 pp.
16.
V. I. Arnold, Statistika podslov, Lektsiya v shkole «Sovremennaya matematika» (Ob'edinennyi institut yadernykh issledovanii, Dubna, Ratmino, iyul 2009), MTsNMO, M., 2009 , 10 pp.
17.
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.
18.
V. I. Arnold, “Random and algebraic permutations' statistics”, Funct. Anal. Other Math., 2:2-4 (2009), 247–248 (cited: 1)
19.
V. I. Arnold, “Lengths of periods of continued fractions of square roots of integers”, Funct. Anal. Other Math., 2:2-4 (2009), 151–164 (cited: 4)
20.
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 (cited: 3)
21.
V. I. Arnold, “Geometry of continued fractions associated with Frobenius numbers”, Funct. Anal. Other Math., 2:2-4 (2009), 129–138 (cited: 4)
22.
V. I. Arnol'd, “Stochastic and deterministic statistics of orbits in chaotically looking dynamical systems”, Trans. Moscow Math. Soc., 2009, 31–69
23.
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 (cited: 1)
24.
V. I. Arnol'd, “Uniform distribution of non-divisible vectors in an integer space”, Izv. Math., 73:1 (2009), 21–29 (cited: 2) (cited: 2) (cited: 2) (cited: 2)
25.
V. I. Arnold, “Permutations”, Russian Math. Surveys, 64:4 (2009), 583–624
26.
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. (cited: 1)
27.
V. I. Arnold, “Poeziya matematiki”, Troitskii variant, 2009, no. 18, 11
28.
V. I. Arnold, “Pereorientatsiya nauki na «prikladnye issledovaniya» privedet k snizheniyu intellektualnogo urovnya strany”, Troitskii variant, 2009, no. 857, 1–3
29.
V. I. Arnold, “«Zhestkie» i «myagkie» matematicheskie modeli”, Matematika, no. 6, 1 sentyabrya, 2009
30.
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 (cited: 2)
2008
31.
V. I. Arnold, “On additive semigroups starting parts”, Funct. Anal. Other Math., 2:1 (2008), 81–86
32.
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 (cited: 3)
33.
V. Arnold, “Orbits' statistics in chaotic dynamical systems”, Nonlinearity, 21:7 (2008), T109–T112 (cited: 1) (cited: 17) (cited: 19)
34.
V. I. Arnol'd, “Statistics of the periods of continued fractions for quadratic irrationals”, Izv. Math., 72:1 (2008), 1–34 (cited: 1) (cited: 2) (cited: 2) (cited: 1)
35.
V. I. Arnol'd, “To what extent are arithmetic progressions of fractional parts stochastic?”, Russian Math. Surveys, 63:2 (2008), 205–220 (cited: 1) (cited: 1) (cited: 1) (cited: 1)
36.
V. I. Arnold, Nauka matematika i iskusstvo matematikov, MGU, M., 2008 , 58 pp.
37.
V. I. Arnold, Chto takoe matematika?, 2-e izd., stereotipnoe, MTsNMO, M., 2008 , 104 pp.
38.
V. I. Arnol'd, Mat. Pros., 12, MCCME, Moscow, 2008, 95–104
2007
39.
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 (cited: 12) (cited: 14) (cited: 13) (cited: 16)
40.
V. I. Arnold, Eksperimentalnoe nablyudenie matematicheskikh faktov, MTsNMO, M., 2007 , 120 pp.
41.
V. I. Arnold, B. A. Khesin, Topologicheskie metody v gidrodinamike, MTsNMO, M., 2007 , 392 pp.
42.
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 (cited: 7) (cited: 11) (cited: 7)
43.
V. I. Arnol'd, “Continued fractions of square roots of rational numbers and their statistics”, Russian Math. Surveys, 62:5 (2007), 843–855 (cited: 1) (cited: 1) (cited: 1) (cited: 1)
44.
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 (cited: 1) (cited: 1) (cited: 1)
45.
V. I. Arnold, Yesterday and long ago, Springer-Verlag, Berlin; PHASIS, Moscow, 2007 , xiv+229 pp. (cited: 1)
46.
V. I. Arnold, Zadachi dlya detei ot 5 do 15 let, 2-e izd., dopolnennoe, MTsNMO, M., 2007 , 16 pp.
47.
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
48.
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
49.
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
2006
50.
V. I. Arnold, Ordinary differential equations, Universitext, Springer-Verlag, Berlin, 2006 , ii+334 pp. (cited: 56)
51.
V. I. Arnold, “Smooth functions statistics”, Funct. Anal. Other Math., 1:2 (2006), 111–118 (cited: 8)
52.
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 (cited: 8)
53.
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 (cited: 5)
54.
V. I. Arnold, “Geometry and growth rate of Frobenius numbers of additive semigroups”, Math. Phys. Anal. Geom., 9:2 (2006), 95–108 (cited: 16) (cited: 9) (cited: 9) (cited: 9)
55.
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. (cited: 220)
56.
V. I. Arnold, “On the matricial version of Fermat–Euler congruences”, Jpn. J. Math., 1:1 (2006), 1–24 (cited: 9) (cited: 7) (cited: 5) (cited: 6)
57.
V. I. Arnold, “From Hilbert's superposition problem to dynamical systems”, Mathematical events of the twentieth century, Springer, Berlin, 2006, 19–47 (cited: 2)
58.
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 (cited: 2) (cited: 4)
59.
V. I. Arnol'd, “Forgotten and neglected theories of Poincaré”, Russian Math. Surveys, 61:1 (2006), 1–18 (cited: 10) (cited: 9) (cited: 9) (cited: 9)
60.
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 (cited: 2)
61.
V. Arnold, G . Iooss, V. Vladimirov, “Obituary [Victor Iosifovich Yudovich]”, J. Math. Fluid Mech., 8:4 (2006), 455
62.
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 (cited: 2)
63.
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
64.
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
2005
65.
V. I. Arnold, “On the topology of the eigenfields”, Topol. Methods Nonlinear Anal., 26:1 (2005), 9–16 (cited: 3) (cited: 2)
66.
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 (cited: 23)
67.
V. I. Arnold, “Mysterious mathematical trinities”, Surveys in modern mathematics, London Math. Soc. Lecture Note Ser., 321, Cambridge Univ. Press, Cambridge, 2005, 1–12
68.
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 (cited: 9) (cited: 9) (cited: 9)
69.
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 (cited: 6) (cited: 8) (cited: 7) (cited: 8)
70.
V. I. Arnold, Dinamika, statistika i proektivnaya geometriya polei Galua, MTsNMO, M., 2005 , 72 pp.
71.
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 (cited: 13) (cited: 10)
72.
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, 3–46http://www.eolss.net/Sample-Chapters/C02/E6-03A-07-05.pdf
73.
V. I. Arnold, Zadachi seminara 2003–2004, MTsNMO, M., 2005 , 56 pp.
74.
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
75.
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
76.
V. I. Arnol'd, Mat. Pros., 9, MCCME, Moscow, 2005, 220–222
77.
V. I. Arnol'd, Mat. Pros., 9, MCCME, Moscow, 2005, 93–99
2004
78.
V. I. Arnol'd, “From Hilbert's superposition problem to dynamical systems”, Amer. Math. Monthly, 111:7 (2004), 608–624 (cited: 4) (cited: 5) (cited: 3) (cited: 4)
79.
V. I. Arnold, “Zhestkie” i “myagkie” matematicheskie modeli, 2-e izd., stereotipnoe, MTsNMO, M., 2004 , 32 pp.
80.
V. I. Arnold, A. N. Varchenko, S. M. Gusein-Zade, Osobennosti differentsiruemykh otobrazhenii, 2-e izd., ispravlennoe, MTsNMO, M., 2004 , 672 pp.
81.
V. I. Arnol'd, “Fermat Dynamics, Matrix Arithmetics, Finite Circles, and Finite Lobachevsky Planes”, Funct. Anal. Appl., 38:1 (2004), 1–13 (cited: 9) (cited: 6) (cited: 9)
82.
V. I. Arnol'd, “The matrix Euler–Fermat theorem”, Izv. Math., 68:6 (2004), 1119–1128 (cited: 5) (cited: 4)
83.
V. I. Arnol'd, “Geometry and dynamics of Galois fields”, Russian Math. Surveys, 59:6 (2004), 1029–1046 (cited: 6) (cited: 4)
84.
V. I. Arnol'd, “A. N. Kolmogorov and natural science”, Russian Math. Surveys, 59:1 (2004), 27–46 (cited: 2) (cited: 2)
85.
V. I. Arnold, Zadachi dlya detei ot 5 do 15 let, MTsNMO, M., 2004 , 16 pp.
86.
V. I. Arnold, Nuzhna li v shkole matematika?, 2-e izd., stereotipnoe, MTsNMO, M., 2004 , 32 pp.
87.
V. I. Arnold, Chto takoe matematika?, MTsNMO, M., 2004 , 104 pp.
88.
V. I. Arnol'd, “What is mathematical physics?”, Phys. Usp., 47:12 (2004), 1281–1283
89.
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
2003
90.
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 (cited: 16) (cited: 13) (cited: 10)
91.
V. I. Arnold, Gruppy Eilera i arifmetika geometricheskikh progressii, MTsNMO, M., 2003 , 44 pp.
92.
V. I. Arnol'd, “The Topology of Algebra: Combinatorics of Squaring”, Funct. Anal. Appl., 37:3 (2003), 177–190 (cited: 6) (cited: 7)
93.
V. I. Arnol'd, “Fermat–Euler Dynamical Systems and the Statistics of Arithmetics of Geometric Progressions”, Funct. Anal. Appl., 37:1 (2003), 1–15 (cited: 14) (cited: 11)
94.
V. I. Arnol'd, “Frequent representations”, Mosc. Math. J., 3:4 (2003), 1209–1221 (cited: 5) (cited: 5)
95.
V. I. Arnol'd, “Topology and statistics of formulae of arithmetics”, Russian Math. Surveys, 58:4 (2003), 637–664 (cited: 5) (cited: 4) (cited: 6)
96.
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) (cited: 3)
97.
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
98.
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
2002
99.
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 (cited: 7) (cited: 58)
100.
V. I. Arnold, Geometricheskie metody v teorii obyknovennykh differentsialnykh uravnenii, MTsNMO, M., 2002 , 400 pp.
101.
V. I. Arnold, Geometriya kompleksnykh chisel, kvaternionov i spinov, MTsNMO, M., 2002 , 40 pp.
102.
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 (cited: 2) (cited: 1)
103.
V. I. Arnol'd, “Optimization in Mean and Phase Transitions in Controlled Dynamical Systems”, Funct. Anal. Appl., 36:2 (2002), 83–92 (cited: 11) (cited: 14)
104.
V. I. Arnol'd, “Pseudoquaternion Geometry”, Funct. Anal. Appl., 36:1 (2002), 1–12 (cited: 2) (cited: 2)
105.
V. I. Arnold, “Matematicheskaya duel vokrug Burbaki”, Vestn. RAN, 72:3 (2002), 245–250 (cited: 1)
106.
V. I. Arnold, Istorii davnie i nedavnie, MTsNMO, M., 2002 , 96 pp.
107.
V. I. Arnol'd, “I. G. Petrovskii, Hilbert's topological problems, and modern mathematics”, Russian Math. Surveys, 57:4 (2002), 833–845 (cited: 3) (cited: 3)
2001
108.
V. I. Arnold, Astroidalnaya geometriya gipotsikloid i gessianova topologiya giperbolicheskikh mnogochlenov, MTsNMO, M., 2001 , 80 pp.
109.
V. I. Arnold, Tsepnye drobi, MTsNMO, M., 2001 , 40 pp.
110.
V. I. Arnol'd, A. B. Givental', “Symplectic geometry”, Dynamical systems, IV, Encyclopaedia Math. Sci., 4, Springer, Berlin, 2001, 1–138 (cited: 127)
111.
V. I. Arnol'd, “Complexification of Tetrahedron and Pseudo-Projective Transformations”, Funct. Anal. Appl., 35:4 (2001), 241–246 (cited: 2) (cited: 2)
112.
V. I. Arnol'd, “Lagrangian Grassmannian of a Quaternion Hypersymplectic Space”, Funct. Anal. Appl., 35:1 (2001), 61–63 (cited: 2) (cited: 1) (cited: 1)
113.
V. I. Arnol'd, “Astroidal geometry of hypocycloids and the Hessian topology of hyperbolic polynomials”, Russian Math. Surveys, 56:6 (2001), 1019–1083 (cited: 5) (cited: 1) (cited: 5)
114.
V. I. Arnold, Nuzhna li v shkole matematika?, MTsNMO, M., 2001 , 32 pp.
115.
Arnold Władimir I., “On teaching mathematics”, Wiadom. Mat., 37 (2001), 17–26 (cited: 1)
2004
116.
V. I. Arnold, Arnold's problems, Springer-Verlag, Berlin, 2004 , xvi+639 pp. (cited: 101) (cited: 101)
2000
117.
V. I. Arnol'd, “On A. N. Kolmogorov”, Kolmogorov in perspective, Hist. Math., 20, Amer. Math. Soc., Providence, RI, 2000, 89–108 (cited: 3)
118.
V. Arnold, “Singularity theory”, Development of mathematics 1950–2000, Birkhäuser, Basel, 2000, 63–95 (cited: 1)
119.
V. Arnold, “Dynamical systems”, Development of mathematics 1950–2000, Birkhäuser, Basel, 2000, 33–61 (cited: 2)
120.
V. I. Arnold, “Symplectic geometry and topology”, J. Math. Phys., 41:6 (2000), 3307–3343 (cited: 14) (cited: 14) (cited: 13) (cited: 18)
121.
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 (cited: 9)
122.
V. Arnold, “Repartitioning the world”, Quantum, 10:3 (2000), 34–37
123.
V. I. Arnold, “Zhestkie” i “myagkie” matematicheskie modeli, MTsNMO, M., 2000 , 32 pp.
124.
V. I. Arnol'd, “The Complex Lagrangian Grassmannian”, Funct. Anal. Appl., 34:3 (2000), 208–210 (cited: 7) (cited: 8)
125.
V. I. Arnol'd, “From Averaging to Statistical Physics”, Proc. Steklov Inst. Math., 228 (2000), 184–190
126.
V. Arnold, “Jürgen Moser (1928–1999). Déclin des mathématiques (après la mort de Jürgen Moser)”, Gaz. Math., 2000, no. 84, 92–95 (cited: 1)
1999
127.
V. I. Arnold, “First steps of local contact algebra”, Canad. J. Math., 51:6 (1999), 1123–1134 (cited: 11) (cited: 9) (cited: 7) (cited: 9)
128.
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 (cited: 7)
129.
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 (cited: 4)
130.
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 (cited: 7)
131.
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. (cited: 36)
132.
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 (cited: 17)
133.
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 (cited: 1)
134.
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 (cited: 1)
135.
V. I. Arnol'd, “Weak Asymptotics for the Numbers of Solutions of Diophantine Problems”, Funct. Anal. Appl., 33:4 (1999), 292–293 (cited: 14)
136.
V. I. Arnol'd, “Simple Singularities of Curves”, Proc. Steklov Inst. Math., 226 (1999), 20–28
137.
V. I. Arnol'd, “Topological Problems of the Theory of Asymptotic Curves”, Proc. Steklov Inst. Math., 225 (1999), 5–15
138.
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
139.
V. I. Arnol'd, “Mathematics and physics: mother and daughter or sisters?”, Phys. Usp., 42:12 (1999), 1205–1217 (cited: 3) (cited: 3) (cited: 3)
140.
V. I. Arnold, “The antiscientifical revolution and mathematics”, Herald Russ. Acad. Sci., 69:4 (1999), 329–333
141.
V. I. Arnold, “International Mathematical Congress in Berlin”, Herald Russ. Acad. Sci., 69:1 (1999), 73–81
142.
V. I. Arnol'd, Mat. Pros., 3, MCCME, Moscow, 1999, 7–20
143.
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
144.
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
1998
145.
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
146.
V. I. Arnold, “Higher-dimensional continued fractions”, Regul. Chaotic Dyn., 3:3 (1998), 10–17 (cited: 18) (cited: 25) (cited: 21)
147.
V. Arnold, “On the problem of realization of a given Gaussian curvature function”, Topol. Methods Nonlinear Anal., 11:2 (1998), 199–206 (cited: 4)
148.
V. I. Arnold, ““Hard” and “soft” mathematical models”, Butl. Soc. Catalana Mat., 13:1 (1998), 7–26 (cited: 1)
149.
V. I. Arnold, B. A. Khesin, Topological methods in hydrodynamics, Appl. Math. Sci., 125, Springer-Verlag, New York, 1998 , xvi+374 pp. (cited: 404)
150.
V. I. Arnold, From Hilbert's superposition problem to dynamical systems, Preprint №1998-14, CEREMADE, Université Paris-Dauphine, Paris, 1998
151.
V. I. Arnold, Symplectisation, complexification and mathematical trinities, Preprint №1998-15, CEREMADE, Université Paris-Dauphine, Paris, 1998
152.
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
153.
V. I. Arnold, Topological problems of the theory of asymptotic curves, Preprint №1998-27, CEREMADE, Université Paris-Dauphine, Paris, 1998
154.
V. I. Arnold, On the realization of the given Gaussian curvature function, Preprint №1998-09, CEREMADE, Université Paris-Dauphine, Paris, 1998
155.
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
156.
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. (cited: 80)
157.
V. I. Arnol'd, “Towards the Legendre Sturm Theory of Space Curves”, Funct. Anal. Appl., 32:2 (1998), 75–80 (cited: 2) (cited: 3)
158.
V. I. Arnol'd, “Singularities of Fractions and Behavior of Polynomials at Infinity”, Proc. Steklov Inst. Math., 221 (1998), 40–59
159.
V. I. Arnold, ““Zhestkie” i “myagkie” matematicheskie modeli”, Priroda, 1998, no. 4, 3–14 (cited: 1)
160.
V. I. Arnold, “Statistika pervykh tsifr stepenei dvoiki i peredel mira”, Kvant, 1998, no. 1, 2–4
161.
V. I. Arnol'd, “On teaching mathematics”, Russian Math. Surveys, 53:1 (1998), 229–236 (cited: 14)
1997
162.
V. I. Arnold, Izbrannoe-60, Fazis, M., 1997 , xviii+770 pp. (cited: 7)
2004
163.
V. I. Arnold, Lectures on partial differential equations, Universitext, Springer-Verlag, Berlin, 2004 , x+157 pp. (cited: 18) (cited: 18)
1997
164.
V. Arnold, “Topological classification of real trigonometric polynomials and cyclic serpents polyhedron”, The Arnold–Gelfand mathematical seminars, Birkhäuser Boston, Boston, MA, 1997, 101–106 (cited: 8)
165.
V. Arnold, H. Kalf, A. Schneider, “Separated Dirac operators and asymptotically constant linear systems”, Math. Proc. Cambridge Philos. Soc., 121:1 (1997), 141–146 (cited: 6) (cited: 6) (cited: 6)
166.
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. (cited: 85)
167.
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. (cited: 13) ; Dynamical systems I: Ordinary differential equations and smooth dynamical systems, Encyclopaedia of Mathematical Sciences, 1, 1st ed., Springer-Verlag, Berlin–Heidelberg, 1988; 2nd printing, 1994, ix+233 pp.
168.
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 (cited: 4) (cited: 10)
169.
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
170.
V. I. Arnol'd, “Mathematics and Mathematical Education in Contemporary World”, Math. Ed., 1997, no. 2, 109–112
171.
V. I. Arnol'd, Mathematical methods of classical mechanics, Grad. Texts in Math., 60, Springer-Verlag, New York, 1997 , xvi+516 pp. (cited: 200)
172.
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
173.
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
174.
V. I. Arnol'd, Mat. Pros., 1, MCCME, Moscow, 1997, 10–23
1996
175.
V. I. Arnold, Osobennosti kaustik i volnovykh frontov, Biblioteka matematika, 1, Fazis, M., 1996 , x+334 pp. (cited: 11)
176.
V. Arnold, “Topological content of the Maxwell theorem on multipole representation of spherical functions”, Topol. Methods Nonlinear Anal., 7:2 (1996), 205–217 (cited: 8)
177.
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 (cited: 4)
178.
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 (cited: 2)
179.
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 (cited: 20)
180.
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 (cited: 44)
181.
V. I. Arnol'd, “Topological problems of the theory of wave propagation”, Russian Math. Surveys, 51:1 (1996), 1–47 (cited: 12) (cited: 10)
1997
182.
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
1995
183.
V. I. Arnol'd, “Some remarks on symplectic monodromy of Milnor fibrations”, The Floer memorial volume, Progr. Math., 133, Birkhäuser, Basel, 1995, 99–103 (cited: 30)
184.
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 (cited: 6)
185.
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 (cited: 12) (cited: 8) (cited: 21)
186.
V. I. Arnol'd, “Invariants and perestroikas of plane fronts”, Proc. Steklov Inst. Math., 209 (1995), 11–56
187.
V. I. Arnol'd, “The geometry of spherical curves and the algebra of quaternions”, Russian Math. Surveys, 50:1 (1995), 1–68 (cited: 31)
V. I. Arnold, “Will mathematics survive? Report on the Zurich Congress”, Pokroky Mat. Fyz. Astronom., 41:1 (1996), 38–44 (Czech)
1995
190.
V. I. Arnold, “Proektivnaya topologiya”, Kvant, 1995, no. 6, 5–11
191.
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
192.
Osobennosti gladkikh otobrazhenii s dopolnitelnymi strukturami, Sbornik statei, Tr. MIAN, 209, ed. V. I. Arnold, E. F. Mischenko, Nauka, Fizmatlit, M., 1995 , 270 pp.
1994
193.
V. I. Arnol'd, “Sur quelques problèmes de la théorie des systèmes dynamiques”, Topol. Methods Nonlinear Anal., 4:2 (1994), 209–225 (cited: 10)
194.
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 (cited: 10)
195.
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 (cited: 61)
196.
V. I. Arnol'd, Topological invariants of plane curves and caustics, Univ. Lecture Ser., 5, Amer. Math. Soc., Providence, RI, 1994 , viii+60 pp. (cited: 88)
197.
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 (cited: 19)
1995
198.
V. I. Arnol'd, “Topological properties of Legendre projections in contact geometry of wave fronts”, St. Petersburg Math. J., 6:3 (1995), 439–452
1994
199.
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
1993
200.
V. Arnol'd, “Problems on singularities and dynamical systems”, Developments in mathematics: the Moscow school, Chapman & Hall, London, 1993, 251–274 (cited: 15)
201.
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 (cited: 7)
202.
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 (cited: 115)
203.
V. I. Arnold, “Ob A. N. Kolmogorove”, Kolmogorov v vospominaniyakh, Fizmatlit, M., 1993, 144–172 (cited: 1)
204.
V. I. Arnol'd, “On A. N. Kolmogorov”, Golden years of Moscow mathematics, Hist. Math., 6, Amer. Math. Soc., Providence, RI, 1993, 129–153 (cited: 3)
205.
V. I. Arnol'd, “Will Russian mathematics survive?”, Notices Amer. Math. Soc., 40:2 (1993), 104–107
206.
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
207.
V. I. Arnol'd, “A mathematical trivium – II”, Russian Math. Surveys, 48:1 (1993), 217–232
1992
208.
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 (cited: 17)
209.
V. I. Arnol'd, “Springer numbers and Morsification spaces”, J. Algebraic Geom., 1:2 (1992), 197–214 (cited: 14)
1993
210.
V. I. Arnol'd, “Poly-integrable flows”, St. Petersburg Math. J., 4:6 (1993), 1103–1110
211.
V. I. Arnol'd, “Congruences for Euler, Bernoulli, and Springer numbers of Coxeter groups”, Russian Acad. Sci. Izv. Math., 41:2 (1993), 389–393 (cited: 1)
1992
212.
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 (cited: 25)
213.
V. I. Arnol'd, Ordinary differential equations, Springer Textbook, Springer-Verlag, Berlin, 1992 , 334 pp. (cited: 75)
214.
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
215.
V. I. Arnol'd, “Trivium mathématique”, Gaz. Math., 52 (1992), 87–96
216.
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
1991
217.
V. I. Arnol'd, “Cardiac arrhythmias and circle mappings”, Chaos, 1:1 (1991), 20–24 (cited: 6) (cited: 29) (cited: 26)
218.
V. I. Arnol'd, “Kolmogorov's hydrodynamic attractors”, Proc. Roy. Soc. London Ser. A, 434:1890 (1991), 19–22 (cited: 5) (cited: 29)
219.
V. I. Arnol'd, The theory of singularities and its applications, Lezioni Fermiane, Accademia Nazionale dei Lincei, Rome, 1991 , 73 pp. (cited: 7)
220.
V. I. Arnol'd, “Bernoulli–Euler updown numbers associated with function singularities, their combinatorics and arithmetics”, Duke Math. J., 63:2 (1991), 537–555 (cited: 19) (cited: 31)
2006
221.
V. I. Arnol'd, “Topological and ergodic properties of closed 1-forms with incommensurable periods”, Funct. Anal. Appl., 25:2 (2006), 81–90 (cited: 21) (cited: 31)
1991
222.
V. I. Arnol'd, Gewöhnliche Differentialgleichungen, Hochschulbucher fur Math., 83, Deutscher Verlag Wiss., Berlin, 1991 , 340 pp. (cited: 3)
223.
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
224.
V. I. Arnold, “Meandry”, Kvant, 1991, no. 3, 11–14
225.
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
226.
V. I. Arnol'd, “A mathematical trivium”, Russian Math. Surveys, 46:1 (1991), 271–278 (cited: 1)
1990
227.
V. I. Arnol'd, Singularities of caustics and wave fronts, Math. Appl. (Soviet Ser.), 62, Kluwer Acad. Publ., Dordrecht, 1990 , xiv+259 pp. (cited: 108)
228.
V. I. Arnol'd, “Dynamics of complexity of intersections”, Bol. Soc. Brasil. Mat. (N.S.), 21:1 (1990), 1–10 (cited: 17) (cited: 59)
229.
V. I. Arnol'd, “Contact geometry and wave propagation”, Enseign. Math. (2), 36:3-4 (1990), 215–266 (cited: 1)
230.
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 (cited: 12)
1992
231.
V. I. Arnol'd, Catastrophe theory, Springer-Verlag, Berlin, 1992 , xiv+150 pp. (cited: 36) (cited: 36)
1990
232.
V. I. Arnol'd, “Ten problems”, Theory of singularities and its applications, Adv. Soviet Math., 1, Amer. Math. Soc., Providence, RI, 1990, 1–8 (cited: 33)
233.
V. I. Arnol'd, “Dynamics of intersections”, Analysis, et cetera, Academic Press, Boston, MA, 1990, 77–84 (cited: 4)
234.
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 (cited: 10)
235.
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
1989
236.
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. (cited: 3)
237.
V. I. Arnol'd, “Bifurcations and singularities in mathematics and mechanics”, Theoretical and applied mechanics (Grenoble, 1988), North-Holland, Amsterdam, 1989, 1–25 (cited: 1)
238.
V. I. Arnol'd, V. A. Vasil'ev, “Newton's Principia read 300 years later”, Notices Amer. Math. Soc., 36:9 (1989), 1148–1154 (cited: 10)
239.
V. I. Arnol'd, “$A$-graded algebras and continued fractions”, Comm. Pure Appl. Math., 42:7 (1989), 993–1000 (cited: 17) (cited: 19)
240.
V. I. Arnol'd, “Spaces of functions with moderate singularities”, Funct. Anal. Appl., 23:3 (1989), 169–177 (cited: 6) (cited: 11)
241.
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.
242.
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 (cited: 36)
243.
V. I. Arnol'd, Mathematical methods of classical mechanics, Grad. Texts in Math., 60, Springer-Verlag, New York, 1989 , xvi+508 pp. (cited: 892)
244.
V. I. Arnold, Matematicheskie metody klassicheskoi mekhaniki, 3-e izd., Nauka, M., 1989 (cited: 58)
1990
245.
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. (cited: 17) (cited: 17)
1989
246.
V. I. Arnold, “Topologicheskoe dokazatelstvo transtsendentnosti abelevykh integralov v “Matematicheskikh nachalakh naturalnoi filosofii” Nyutona”, Ist.-matem. issled., 1989, no. 31, 7–17 (cited: 3)
247.
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
1988
248.
V. I. Arnol'd, “On the interior scattering of waves, defined by hyperbolic variational principles”, J. Geom. Phys., 5:3 (1988), 305–315 (cited: 3) (cited: 9)
249.
V. I. Arnol'd, “Remarks on quasicrystallic symmetries”, Phys. D, 33:1–3 (1988), 21–25 (cited: 7) (cited: 24) (cited: 3) (cited: 19)
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 (cited: 10) (cited: 11)
252.
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 (cited: 4) (cited: 2)
253.
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 (cited: 187)
254.
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. (cited: 192)
255.
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
256.
V. I. Arnol'd, “Surfaces defined by hyperbolic equations”, Math. Notes, 44:1 (1988), 489–497 (cited: 2) (cited: 2)
257.
V. I. Arnol'd, “A few words on Andrei Nikolaevich Kolmogorov”, Russian Math. Surveys, 43:6 (1988), 43–44
258.
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
259.
V. I. Arnol'd, Mathematische Methoden der klassischen Mechanik, Grad. Texts in Math., 60, VEB Deutscher Verlag Wiss., Berlin, 1988 , 520 pp. (cited: 10)
260.
V. Arnol'd, Équations différentielles ordinaires, Traduit du Russe: Mathématiques, Mir, Moscow, 1988 , 334 pp. (cited: 60)
261.
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
262.
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
1989
263.
J. Soviet Math., 47:3 (1989), 2509–2516 (cited: 4)
1987
264.
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
265.
V. Arnol'd, “First steps of symplectic topology”, VIIIth international congress on mathematical physics (Marseille, 1986), World Sci. Publ., Singapore, 1987, 1–16 (cited: 3)
V. I. Arnol'd, Geometrische Methoden in der Theorie der gewöhnlichen Differentialgleichungen, Birkhäuser Verlag, Basel, 1987 , 320 pp. (cited: 3)
268.
V. I. Arnol'd, Geometrische Methoden in der Theorie der gewöhnlichen Differentialgleichungen, Hochschulbücher für Mathematik, 90, VEB Deutscher Verlag Wiss., Berlin, 1987 , 320 pp. (cited: 1)
269.
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
1999
270.
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 (cited: 2)
1986
271.
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.
272.
V. I. Arnol'd, Catastrophe theory, Springer-Verlag, Berlin, 1986 , xiv+108 pp. (cited: 6)
273.
V. I. Arnol'd, “The asymptotic Hopf invariant and its applications”, Selecta Math. Soviet., 5:4 (1986), 327–345 (cited: 59)
274.
V. I. Arnol'd, “Hyperbolic polynomials and Vandermonde mappings”, Funct. Anal. Appl., 20:2 (1986), 125–127 (cited: 10) (cited: 16)
275.
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
276.
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
277.
V. I. Arnol'd, “First steps in symplectic topology”, Russian Math. Surveys, 41:6 (1986), 1–21 (cited: 76)
1999
278.
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
1986
279.
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
1985
280.
V. I. Arnol'd, Equações diferenciais ordinárias, Mir, Moscow, 1985 , 327 pp. (cited: 3)
281.
V. I. Arnol'd, Matematicheski metodi na klasicheskata mekhanika, Ed. 2, Nauka i Izkustvo, Sofia, 1985 , 448 pp. (Bulgarian) (cited: 2)
282.
V. I. Arnol'd, “Singularities, bifurcations and catastrophes”, Fiz.-Mat. Spis. B"lgar. Akad. Nauk., 27(60):1 (1985), 25–48 (Bulgarian)
283.
V. I. Arnol'd, “The Sturm theorems and symplectic geometry”, Funct. Anal. Appl., 19:4 (1985), 251–259 (cited: 30) (cited: 54)
284.
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
285.
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.
1988
286.
V. I. Arnol'd, Yu. S. Ilyashenko, “Ordinary differential equations”, Encyclopaedia Math. Sci., 1 (1988), 1–148
1985
287.
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
1984
288.
V. I. Arnold, “Ob evolyutsii magnitnogo polya pod deistviem perenosa i diffuzii”, Nekotorye voprosy sovremennogo analiza, Izd-vo MGU, M., 1984, 8–21 (cited: 5)
289.
V. I. Arnold, “Exponential scattering of trajectories and its hydrodynamic applications”, N. E. Kochin i razvitie mekhaniki, Nauka, M., 1984, 185–193
290.
V. I. Arnol'd, “Reversible systems”, Nonlinear and turbulent processes in physics (Kiev, 1983), v. 3, Harwood Academic Publ., Chur, 1984, 1161–1174 (cited: 38)
291.
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 (cited: 5)
292.
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 (cited: 2)
1988
293.
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. (cited: 232) (cited: 232)
1984
294.
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 (cited: 1)
295.
V. I. Arnol'd, “Vanishing inflections”, Funct. Anal. Appl., 18:2 (1984), 128–130 (cited: 2)
296.
V. Arnol'd, Chapitres supplémentaires de la théorie des équations différentielles ordinaires, Mir, Moscow, 1984 , 329 pp. (cited: 23)
297.
V. I. Arnold, Obyknovennye differentsialnye uravneniya, 3-e izd., Nauka, M., 1984 , 272 pp. (cited: 18)
298.
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
1988
299.
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. (cited: 273)
1984
300.
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
301.
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
1983
302.
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
303.
V. I. Arnol'd, “Singularities, bifurcations and catastrophes”, Soviet Phys. Uspekhi, 26:12 (1983), 1025–1037
304.
W. I. Arnold, Teoria równań różniczkowych, PWN, Warsaw, 1983 , 299 pp. (cited: 1)
305.
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 (cited: 7)
306.
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 (cited: 1)
1984
307.
V. I. Arnol'd, Catastrophe theory, Springer-Verlag, Berlin, 1984 , iv+79 pp. (cited: 15)
1983
308.
V. I. Arnold, Teoriya katastrof, 2-e izd., dop., MGU, M., 1983
1984
309.
V. I. Arnol'd, “Singularities in the calculus of variations”, J. Soviet Math., 27:3 (1984), 2679–2713 (cited: 3)
1983
310.
V. I. Arnol'd, “Remarks on the perturbation theory for problems of Mathieu type”, Russian Math. Surveys, 38:4 (1983), 215–233 (cited: 54)
311.
V. I. Arnol'd, “Singularities of systems of rays”, Russian Math. Surveys, 38:2 (1983), 87–176 (cited: 43)
312.
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. (cited: 399)
313.
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
1982
314.
V. I. Arnold, “O nyutonovskom potentsiale giperbolicheskikh sloev”, Tr. Tbilisskogo un-ta. Cer. matem., mekh., astron., 232–233:13–14 (1982), 23–29 (cited: 5)
1985
315.
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. (cited: 500) (cited: 500)
1982
316.
V. I. Arnold, “Perestroiki osobennostei potentsialnykh potokov i metamorfozy kaustik v trekhmernom prostranstve”, Tr. sem. I. G. Petrovskogo, 8, MGU, M., 1982, 21–57
317.
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
318.
V. I. Arnold, “Some remarks on the antidynamo theorem”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1982, no. 6, 50–57 (cited: 4)
319.
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
1981
320.
W. I. Arnold, Metody matematyczne mechaniki klasycznej, PWN, Warsaw, 1981 , 430 pp. (cited: 10)
321.
V. Arnol'd, “On some problems in singularity theory”, Proc. Indian Acad. Sci. Math. Sci., 90:1 (1981), 1–9 (cited: 2) (cited: 4) (cited: 7)
322.
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. (cited: 1)
323.
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. (cited: 22)
324.
V. I. Arnol'd, “Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail”, Funct. Anal. Appl., 15:4 (1981), 235–246 (cited: 18) (cited: 22)
325.
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
1980
326.
V. Arnol'd, “On some problems in singularity theory”, Geometry and analysis, Indian Acad. Sci., Bangalore, 1980, 1–9 (cited: 3)
327.
V. I. Arnol'd, “Lagrange and Legendre cobordisms. II”, Funct. Anal. Appl., 14:4 (1980), 252–260 (cited: 9) (cited: 9)
328.
V. I. Arnol'd, “Lagrange and legendre cobordisms. I”, Funct. Anal. Appl., 14:3 (1980), 167–177 (cited: 13) (cited: 9)
329.
V. I. Arnol'd, “Statistics of integral convex polygons”, Funct. Anal. Appl., 14:2 (1980), 79–81 (cited: 19)
330.
V. Arnol'd, Chapitres supplémentaires de la théorie des équations différentielles ordinaires, Mir, Moscow, 1980 , 324 pp. (cited: 76)
1979
331.
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) (cited: 1)
332.
V. I. Arnold, O. A. Oleinik, “Topologiya deistvitelnykh algebraicheskikh mnogoobrazii”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1979, no. 6, 7–17 (cited: 5) (cited: 10)
333.
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
334.
V. I. Arnold, Matematicheskie metody klassicheskoi mekhaniki, 2-e izd., Nauka, M., 1979 , 431 pp. (cited: 23)
1978
335.
V. I. Arnol'd, Ordinary differential equations, MIT Press, Cambridge, MA–London, 1978 , ix+280 pp. (cited: 67)
336.
V. I. Arnold, Mathematical methods of classical mechanics, Grad. Texts in Math., 60, Springer-Verlag, New York, NY, 1978 , x+462 pp. (cited: 59)
337.
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 (cited: 75)
338.
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
339.
V. I. Arnold, Dopolnitelnye glavy teorii obyknovennykh differentsialnykh uravnenii, Nauka, M, 1978 , 304 pp. (cited: 80)
340.
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
1977
341.
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 (cited: 129)
342.
V. I. Arnol'd, “Correction: “Wave front evolution and equivariant Morse lemma””, Comm. Pure Appl. Math., 30:6 (1977), 823
1976
343.
V. Arnold, Les méthodes mathématiques de la mécanique classique, Mir, Moscow, 1976 , 470 pp. (cited: 59)
344.
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 (cited: 1)
345.
V. I. Arnold, “Spektralnye posledovatelnosti dlya privedeniya funktsii k normalnym formam”, Zadachi mekhaniki i matematicheskoi fiziki, Nauka, M., 1976, 7–20 (cited: 4)
346.
V. I. Arnold, “Local normal forms of functions”, Invent. Math., 35 (1976), 87–109 (cited: 25) (cited: 71) (cited: 1) (cited: 63)
347.
V. I. Arnol'd, “Wave front evolution and equivariant Morse lemma”, Comm. Pure Appl. Math., 29:6 (1976), 557–582 (cited: 59) (cited: 185)
348.
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 (cited: 15)
349.
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
1975
350.
W. I. Arnold, Równania różniczkowe zwyczajne, PWN, Warsaw, 1975 , 264 pp. (cited: 2)
351.
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 (cited: 15)
352.
V. I. Arnol'd, “Spectral sequence for reduction of functions to normal form”, Funct. Anal. Appl., 9:3 (1975), 251–253 (cited: 3)
353.
V. I. Arnol'd, “Classification of bimodal critical points of functions”, Funct. Anal. Appl., 9:1 (1975), 43–44 (cited: 4)
354.
V. I. Arnol'd, “Critical points of smooth functions and their normal forms”, Russian Math. Surveys, 30:5 (1975), 1–75
1980
355.
V. I. Arnol'd, Gewöhnliche Differentialgleichungen, Springer-Verlag, Berlin, 1980 , 275 pp. (cited: 43) (cited: 43)
1975
356.
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)”, Uspekhi Mat. Nauk, 30:5(185) (1975), 2
357.
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
1974
358.
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. (cited: 24)
359.
V. I. Arnold, Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1974 , 431 pp. (cited: 44)
360.
V. I. Arnol'd, “Normal forms of functions in neighbourhoods of degenerate critical points”, Russian Math. Surveys, 29:2 (1974), 10–50
1973
361.
V. I. Arnol'd, Ordinary differential equations, MIT Press, Cambridge, MA–London, 1973 , ix+280 pp. (cited: 46)
362.
V. I. Arnol'd, “Classification of unimodal critical points of functions”, Funct. Anal. Appl., 7:3 (1973), 230–231 (cited: 23)
363.
V. I. Arnol'd, “Remarks on the stationary phase method and Coxeter numders”, Russian Math. Surveys, 28:5 (1973), 19–48
1972
364.
V. I. Arnold, “Versalnye semeistva i bifurkatsii differentsialnykh uravnenii”, Devyataya letnyaya matematicheskaya shkola (Katsiveli, 1971), In-t matem. AN USSR, Kiev, 1972, 42–49
365.
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 (cited: 152)
366.
V. I. Arnol'd, “Integrals of rapidly oscillating functions and singularities of projections of Lagrangian manifolds”, Funct. Anal. Appl., 6:3 (1972), 222–224 (cited: 34)
367.
V. I. Arnol'd, “Modes and quasimodes”, Funct. Anal. Appl., 6:2 (1972), 94–101 (cited: 77)
368.
V. I. Arnol'd, “Lectures on bifurcations in versal families”, Russian Math. Surveys, 27:5 (1972), 54–123
1971
369.
V. I. Arnold, Obyknovennye differentsialnye uravneniya, Nauka, M., 1971 , 239 pp. (cited: 124)
370.
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 (cited: 32)
371.
V. I. Arnol'd, “On matrices depending on parameters”, Russian Math. Surveys, 26:2 (1971), 29–43
372.
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
373.
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
1970
374.
V. I. Arnold, “O lokalnykh zadachakh analiza”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1970, no. 2, 52–56 (cited: 6)
375.
V. I. Arnold, “O nekotorykh topologicheskikh invariantakh algebraicheskikh funktsii”, Tr. MMO, 21, MGU, M., 1970, 27–46 (cited: 25) (cited: 31)
376.
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 (cited: 16)
377.
V. I. Arnol'd, “Topological invariants of algebraic functions. II”, Funct. Anal. Appl., 4:2 (1970), 91–98 (cited: 19)
378.
V. I. Arnol'd, “Cohomology classes of algebraic functions invariant under Tschirnhausen transformations”, Funct. Anal. Appl., 4:1 (1970), 74–75 (cited: 1)
379.
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
1969
380.
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 (cited: 8)
381.
V. I. Arnol'd, “Remarks on singularities of finite codimension in complex dynamical systems”, Funct. Anal. Appl., 3:1 (1969), 1–5 (cited: 30)
382.
V. I. Arnol'd, “The cohomology ring of the colored braid group”, Math. Notes, 5:2 (1969), 138–140 (cited: 4) (cited: 77)
383.
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
384.
V. I. Arnold, Lektsii po obyknovennym differentsialnym uravneniyam, Chast 3, MGU, M., 1969 , 41 pp. (cited: 1)
385.
V. I. Arnold, Lektsii po teorii obyknovennykh differentsialnykh uravneniyai, Chast 2, MGU, M., 1969 , 75 pp.
386.
V. I. Arnold, Lektsii po teorii obyknovennykh differentsialnykh uravneniyai, Chast 1, MGU, M., 1969 , 113 pp.
1968
387.
V. I. Arnold, “Problema ustoichivosti i ergodicheskie svoistva klassicheskikh dinamicheskikh sistem”, Trudy mezhdunarodnogo kongressa matematikov (Moskva, 1966), Mir, M., 1968, 387–392 (cited: 5)
388.
V. I. Arnol'd, “Remark on the branching of hyperelliptic integrals as functions of the parameters”, Funct. Anal. Appl., 2:3 (1968), 187–189 (cited: 13)
389.
V. I. Arnol'd, “Braids of algebraic functions and cohomologies of swallowtails”, Uspekhi Mat. Nauk, 23:4(142) (1968), 247–248
390.
V. I. Arnol'd, “Singularinies of smooth mappings”, Russian Math. Surveys, 23:1 (1968), 1–43
391.
Osobennosti differentsiruemykh otobrazhenii, eds. V. I. Arnold, Mir, M., 1968 , 268 pp. (cited: 2)
392.
V. I. Arnol'd, “A letter to the editors”, Uspekhi Mat. Nauk, 23:6(144) (1968), 216
393.
V. I. Arnol'd, A. Avez, Ergodic problems of classical mechanics, W. A. Benjamin, Inc., New York–Amsterdam, 1968 , ix+286 pp. (cited: 155) (cited: 155)
1967
394.
V. I. Arnol'd, “A note on Weierstrass' auxiliary theorem”, Funct. Anal. Appl., 1:3 (1967), 173–179 (cited: 1)
395.
V. I. Arnol'd, “Characteristic class entering in quantization conditions”, Funct. Anal. Appl., 1:1 (1967), 1–13 (cited: 313)
1966
396.
V. I. Arnol'd, “On the topology of three-dimensional steady flows of an ideal fluid”, J. Appl. Math. Mech., 30 (1966), 223–226 (cited: 11) (cited: 12)
397.
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 (cited: 379)
398.
V. I. Arnol'd, “An a priori estimate in the theory of hydrodynamic stability”, Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 5, 3–5
399.
V. I. Arnol'd, “Corrections to the Milnor's paper”, Uspekhi Mat. Nauk, 21:1(127) (1966), 237
1965
400.
V. I. Arnold, “Ustoichivost i neustoichivost v klassicheskoi mekhanike”, Vtoraya letnyaya matematicheskaya shkola, Chast II, Naukova dumka, Kiev, 1965, 85–119 (cited: 2)
401.
V. Arnol'd, “Sur une propriété topologique des applications globalement canoniques de la mécanique classique”, C. R. Acad. Sci. Paris, 261 (1965), 3719–3722 (cited: 23)
402.
V. Arnol'd, “Sur la topologie des écoulements stationnaires des fluides parfaits”, C. R. Acad. Sci. Paris, 261 (1965), 17–20 (cited: 42)
403.
V. I. Arnold, “Ob usloviyakh ustoichivosti ploskikh statsionarnykh krivo lineinykh techenii idealnoi zhidkosti”, Dokl. AN SSSR, 162:5 (1965), 975–978 (cited: 10) (cited: 49) (cited: 49)
404.
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 (cited: 9) (cited: 10) (cited: 10)
405.
V. Arnol'd, “Sur la courbure de Riemann des groupes de difféomorphismes”, C. R. Acad. Sci. Paris, 260 (1965), 5668–5671
1964
406.
V. I. Arnold, “O neustoichivosti dinamicheskikh sistem so mnogimi stepenyami svobody”, Dokl. AN SSSR, 156:1 (1964), 9–12 (cited: 28) (cited: 68) (cited: 68)
407.
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
1963
408.
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 (cited: 6) (cited: 25) (cited: 25)
1967
409.
V. I. Arnol'd, “On a theorem of Liouville concerning integrable problems of dynamics”, Amer. Math. Soc. Transl. (2), 61 (1967), 292–296
1963
410.
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
411.
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
412.
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 (cited: 7)
413.
V. I. Arnold, Ya. G. Sinai, “Popravka”, Dokl. AN SSSR, 150:5 (1963), 958
414.
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
1962
415.
V. I. Arnold, “O povedenii adiabaticheskogo invarianta pri medlennom periodicheskom izmenenii funktsii Gamiltona”, Dokl. AN SSSR, 142:4 (1962), 758–761 (cited: 6) (cited: 15) (cited: 15)
416.
V. I. Arnol'd, Ya. G. Sinai, “Small perturbations of the automorphisms of the torus”, Sov. Math. Dokl., 3 (1962), 783–787
417.
V. I. Arnold, “O klassicheskoi teorii vozmuschenii i probleme ustoichivosti planetnykh sistem”, Dokl. AN SSSR, 145:3 (1962), 487–490 (cited: 4) (cited: 5) (cited: 5)
418.
V. I. Arnol'd, “Letter to the Editor”, Mat. Sb. (N.S.), 56(98):3 (1962), 392
1961
419.
V. I. Arnold, “Zamechaniya o chislakh vrascheniya”, Sib. matem. zhurn., 2:6 (1961), 807–813
420.
V. I. Arnold, “Neskolko zamechanii o potokakh lineinykh elementov i reperov”, Dokl. AN SSSR, 138:2 (1961), 255–257 (cited: 16) (cited: 34)
421.
V. I. Arnold, “O rozhdenii uslovno periodicheskogo dvizheniya iz semeistva periodicheskikh dvizhenii”, Dokl. AN SSSR, 138:1 (1961), 13–15 (cited: 4) (cited: 2) (cited: 2)
422.
V. I. Arnold, “Ob ustoichivosti polozheniya ravnovesiya gamiltonovoi sistemy obyknovennykh differentsialnykh uravnenii v obschem ellipticheskom sluchae”, Dokl. AN SSSR, 137:2 (1961), 255–257 (cited: 17) (cited: 11) (cited: 11)
423.
V. I. Arnol'd, “Small denominators. I. Mapping the circle onto itself”, Izv. Akad. Nauk SSSR Ser. Mat., 25:1 (1961), 21–86
424.
V. I. Arnol'd, “Test for nomographability using Descartes' rectilinear abacus”, Uspekhi Mat. Nauk, 16:4(100) (1961), 133–135
1960
425.
V. I. Arnol'd, “The representation of functions of several variables”, Pokroky Mat. Fys. Astronom., 5 (1960), 399–416
426.
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 (cited: 1)
427.
V. I. Arnol'd, “On analytic mappings of the circle into itself”, Uspekhi Mat. Nauk, 15:2(92) (1960), 212–214
428.
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
1959
429.
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
1958
430.
V. I. Arnold, “V shkolnom matematicheskom kruzhke pri MGU. (Okonchanie)”, Matematika, ee prepodavanie, prilozheniya i istoriya, Matem. prosv., 3, 1958, 241–250
431.
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 (cited: 2)
1963
432.
V. I. Arnol'd, “On functions of three variables”, Amer. Math. Soc. Transl. (2), 28 (1963), 51–54 (cited: 4) (cited: 4) (cited: 4)
1957
433.
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
434.
V. I. Arnold, “V shkolnom matematicheskom kruzhke pri MGU”, Matematika, ee prepodavanie, prilozheniya i istoriya, Matem. prosv., 2, 1957, 241–245 (cited: 1)
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
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
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
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
2011
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