Fine structure of sticky sets in mushroom billiards

DOI10.1007/S10955-013-0898-2zbMath1408.37100OpenAlexW1989587886MaRDI QIDQ2016528

Leonid A. Bunimovich

Publication date: 20 June 2014

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

Full work available at URL: https://doi.org/10.1007/s10955-013-0898-2

zbMATH Keywords

Farey sequencemarginally unstable periodic orbits (MUPO)stickiness in Hamiltonian systemsstickiness in phase and in configuration spacetransport in chaotic domain

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (5)

\textsc{Bill2d} -- a software package for classical two-dimensional Hamiltonian systems ⋮ Tilted-hat mushroom billiards: web-like hierarchical mixed phase space ⋮ How sticky is the chaos/order boundary? ⋮ Few Islands Approximation of Hamiltonian System with divided Phase Space ⋮ Characteristic Times for the Fermi–Ulam Model

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• Mushrooms and other billiards with divided phase space
• Kinematics, equilibrium, and shape in Hamiltonian systems: The “LAB” effect

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