Estimating Lyapunov exponents in billiards

DOI10.1063/1.5099446zbMath1423.37039arXiv1904.05108OpenAlexW2973136064WikidataQ90420235 ScholiaQ90420235MaRDI QIDQ5242052

Lukas Hupe, R. Fleischmann, George Datseris

Publication date: 5 November 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.05108

Mathematics Subject Classification ID

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (2)

Simple estimation method for the second-largest Lyapunov exponent of chaotic differential equations ⋮ Rigorous bounds on Lyapunov exponents of linked twist maps

Uses Software

• Dynamicalbilliards.jl

Cites Work

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• Stickiness in mushroom billiards
• Quantum mushroom billiards
• Mechanisms of chaos in billiards: dispersing, defocusing and nothing else
• Tangent map for classical billiards in magnetic fields
• Average exit time for volume-preserving maps
• Dynamical systems with elastic reflections
• Mushrooms and other billiards with divided phase space
• On the notion of recurrence in discrete stochastic processes

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