Soft billiards with corners

DOI10.1023/A:1023884227180zbMath1022.37022arXivnlin/0209061OpenAlexW1537838499MaRDI QIDQ1397862

Dmitry V. Turaev, Vered Rom-Kedar

Publication date: 6 August 2003

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0209061

zbMATH Keywords

chaosperiodic orbitsperturbationHamiltonian systemsstability islandsBoltzmann hypothesisasymptotic scattering functionpolygonal trajectorysteep potentials

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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Nonergodicity of the motion in three-dimensional steep repelling dispersing potentials ⋮ Bifurcations of Liouville tori in elliptical billiards ⋮ A charged composite particle in a constant electric field ⋮ Approximating multi-dimensional Hamiltonian flows by billiards ⋮ Hyperbolic billiards with nearly flat focusing boundaries. I. ⋮ Microorganism billiards ⋮ Billiards: A singular perturbation limit of smooth Hamiltonian flows ⋮ Three unequal masses on a ring and soft triangular billiards ⋮ Chaotic and Arnold stripes in weakly chaotic Hamiltonian systems ⋮ Stability in high dimensional steep repelling potentials

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