The system of one-dimensional balls in an external field. II

DOI10.1007/BF02096765zbMath0709.70010MaRDI QIDQ921994

Maciej P. Wojtkowski

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemLyapunov exponentarbitrary number of degrees of freedom

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Recent progress and outstanding problems in Hamiltonian dynamics, Potentials on the two-torus for which the Hamiltonian flow is ergodic, Non-uniform ergodic properties of Hamiltonian flows with impacts, The ergodicity of a Hamiltonian system of two particles in an external field, Ergodic systems of \(n\) balls in a billiard table, The characteristic exponents of the falling ball model, Modified Verlet Method Involving Second-Order Mid-Point Rule Applied to Balls Falling in One-Dimensional Potentials, Ergodicity of classical billiard balls, Statistical properties of chaotic systems, Complete hyperbolicity in Hamiltonian systems with linear potential and elastic collisions

Cites Work

• A system of one-dimensional balls with gravity
• Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
• Measure theoretic entropy of the system of hard spheres