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.

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      ; Russian Math. Surveys, 18:6 (1963), 85–191  
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)    
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    
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      ; Funct. Anal. Appl., 5:3 (1971), 169–176  
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.    

Recent publications

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
• Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
• Université Paris-Dauphine
• Moscow Mathematical Society