The characteristic exponents of the falling ball model

DOI10.1007/BF02517897zbMath0871.58046arXivmath/9604233MaRDI QIDQ679383

Nándor Simányi

Publication date: 22 April 1997

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

Full work available at URL: https://arxiv.org/abs/math/9604233

zbMATH Keywords

Lyapunov exponentsLiouville measureHamiltonian systemfalling ball model

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (2)

Statistical properties of the system of two falling balls ⋮ Complete hyperbolicity in Hamiltonian systems with linear potential and elastic collisions

Cites Work

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• A system of one-dimensional balls with gravity
• The system of one-dimensional balls in an external field. II
• Ergodic theory of differentiable dynamical systems
• The \(K\)-property of four billiard balls
• The \(K\)-property of \(N\) billiard balls. I
• Uniform estimates on the number of collisions in semi-dispersing billiards
• The \(K\)-property of Hamiltonian systems with restricted hard ball interactions
• The K-property of three billiard balls
• Invariant families of cones and Lyapunov exponents
• Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls

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