Unbounded Energy Growth in Hamiltonian Systems with a Slowly Varying Parameter

Persistence and Smoothness of Invariant Manifolds for Flows

Neil Fenichel · Indiana University Mathematics Journal · 1971 · 1.1K citations

Natural Sciences, Mathematics, Dynamical Systems +11

Dynamical systems with elastic reflections

Yakov G. Sinai · Russian Mathematical Surveys · 1970 · 1K citations

Natural Sciences, Mechanical Engineering, Biomechanics +7

ON A POINCARÉ-BIRKHOFF PROBLEM

L P Šil'nikov · Mathematics of the USSR-Sbornik · 1967 · 178 citations

Natural Sciences, Mathematics, Topology +5

Markov partitions for two-dimensional hyperbolic billiards

Leonid Bunimovich, Yakov G. Sinai, N. Chernov · Russian Mathematical Surveys · 1990 · 173 citations

Natural Sciences, Mathematics, Physics +15

Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls

Yakov G. Sinai, N. Chernov · Russian Mathematical Surveys · 1987 · 141 citations

Natural Sciences, Mathematics, Dynamical Systems +7