The ergodicity of a Hamiltonian system of two particles in an external field

DOI10.1016/0167-2789(91)90063-FzbMath0738.70007OpenAlexW2086979137MaRDI QIDQ1181369

Nikolai I. Chernov

Publication date: 27 June 1992

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90063-f

zbMATH Keywords

ergodicityHamiltonian systemdispersing billiard systemstwo one-dimensional balls

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Ergodic theory (37A99)

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Steady-state electrical conduction in the periodic Lorentz gas, Complete hyperbolicity in Hamiltonian systems with linear potential and elastic collisions

Cites Work

• A ``transversal fundamental theorem for semi-dispersing billiards
• A system of one-dimensional balls with gravity
• The system of one-dimensional balls in an external field. II
• Principles for the design of billiards with nonvanishing Lyapunov exponents
• Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
• The K-property of three billiard balls
• Invariant families of cones and Lyapunov exponents
• Dynamical systems with elastic reflections