Using integrability to produce chaos: Billiards with positive entropy

CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

Ya. B. Pesin · Russian Mathematical Surveys · 1977 · 1.4K citations

Natural Sciences, Mathematics, Physics +17

A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems.

V. I. Oseledec · Medical Entomology and Zoology · 1968 · 1.2K citations

Natural Sciences, Mathematics, Dynamical Systems +15

Dynamical systems with elastic reflections

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

Natural Sciences, Mechanical Engineering, Biomechanics +7

On the ergodic properties of nowhere dispersing billiards

Leonid Bunimovich · Communications in Mathematical Physics · 1979 · 648 citations

Natural Sciences, Mathematics, Physics +12

Surface transformations and their dynamical applications

George D. Birkhoff · Acta Mathematica · 1922 · 342 citations · Full text

Natural Sciences, Mathematics, Physics +13