Vladimir I. Arnold

SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

Vladimir I. Arnold · Russian Mathematical Surveys · 1963 · 1.1K citations

Natural Sciences, Mathematics, Physics +17

Topological Methods in Hydrodynamics

Vladimir I. Arnold, Boris Khesin · Annual Review of Fluid Mechanics · 1992 · 1.1K citations

Computing, Physics, Fluid Dynamics +14

PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

Vladimir I. Arnold · Russian Mathematical Surveys · 1963 · 939 citations

Natural Sciences, Mathematics, Physics +13

Ordinary Differential Equations.

Fred Brauer, Vladimir I. Arnold, Roger Cook · American Mathematical Monthly · 1993 · 651 citations

Natural Sciences, Mathematics, Differential Equations +8

Characteristic class entering in quantization conditions

Vladimir I. Arnold · Functional Analysis and Its Applications · 1967 · 526 citations

Natural Sciences, Mathematics, Physics +13