On soft billiard systems

DOI10.1016/0167-2789(89)90084-5zbMath0697.58034OpenAlexW2084148813MaRDI QIDQ911122

Andreas Knauf

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90084-5

zbMATH Keywords

non-ergodicityinvariant cone fieldssoft billiard systems

Mathematics Subject Classification ID

Ergodic theory (37A99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (10)

On the density of dispersing billiard systems with singular periodic orbits ⋮ Design of hyperbolic billiards ⋮ Potentials on the two-torus for which the Hamiltonian flow is ergodic ⋮ Mixing and its rate in `soft' and `hard' billiards motivated by the Lorentz process ⋮ Correlation decay in certain soft billiards ⋮ Electrical current in Sinai billiards under general small forces ⋮ Approximating multi-dimensional Hamiltonian flows by billiards ⋮ Billiards: A singular perturbation limit of smooth Hamiltonian flows ⋮ Chaotic and Arnold stripes in weakly chaotic Hamiltonian systems ⋮ On Sinaĭ billiards on flat surfaces with horns

Cites Work

• Unnamed Item
• Sort billiard systems
• Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
• Invariant families of cones and Lyapunov exponents
• QUASIRANDOM DYNAMICAL SYSTEMS. III QUASIRANDOM OSCILLATIONS OF ONE-DIMENSIONAL OSCILLATORS

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