Exponentially Small Splitting of Separatrices Under Fast Quasiperiodic Forcing

An Introduction to Diophantine Approximation.

John C. Brixey, J. W. S. Cassels · American Mathematical Monthly · 1958 · 1.2K citations

Natural Sciences, Computer Science, Mathematics +12

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

The separation of motions in systems with rapidly rotating phase

Journal of Applied Mathematics and Mechanics · 1984 · 344 citations

Natural Sciences, Physics, Dynamical Systems +3

Canonical perturbation theory via simultaneous approximation

Pierre Lochak · Russian Mathematical Surveys · 1992 · 195 citations

Natural Sciences, Aerospace Engineering, Mathematics +17

The analytic invariants of an area‐preserving mapping near a hyperbolic fixed point

Jürgen Moser · Communications on Pure and Applied Mathematics · 1956 · 194 citations

Natural Sciences, Geophysics, Dynamical Systems +8