CHAOS IN CYLINDRICAL STADIUM BILLIARDS VIA A GENERIC NONLINEAR MECHANISM

DOI10.1142/S0218127412502069zbMath1258.37039arXiv0908.4243MaRDI QIDQ4907074

David P. Sanders, Thomas Gilbert

Publication date: 1 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.4243

zbMATH Keywords

nonlinear stabilityhyperbolicityfocusing high-dimensional billiards

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• Track billiards
• Semi-focusing billiards: Hyperbolicity
• Linearly stable orbits in 3 dimensional billiards
• On the ergodic properties of nowhere dispersing billiards
• On ergodic properties of certain billiards
• How high-dimensional stadia look like
• Hard ball systems and the Lorentz gas
• Many-dimensional nowhere dispersing billiards with chaotic behavior
• Quantum Chaos

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