A billiard problem in nonlinear and nonequilibrium systems

DOI10.32917/hmj/1200529808zbMath1145.37044OpenAlexW1837953227WikidataQ128869431 ScholiaQ128869431MaRDI QIDQ932906

Tomoyuki Miyaji, Masayasu Mimura, Isamu Ohnishi

Publication date: 21 July 2008

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1200529808

zbMATH Keywords

toy modelchaotic attractorLyapunov exponents and Lyapunov dimensionreaction-diffusion system in a rectangular domainreduction to the discrete-time system

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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Reflection of a self-propelling rigid disk from a boundary ⋮ Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system ⋮ Arnold tongues in a billiard problem in nonlinear and nonequilibrium systems ⋮ Asymptotic reflection of a self-propelled particle from a boundary wall ⋮ Interaction of non-radially symmetric camphor particles

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