Arnold tongues in a billiard problem in nonlinear and nonequilibrium systems

DOI10.1016/J.PHYSD.2016.09.003zbMath1380.65426OpenAlexW2525749428MaRDI QIDQ1686771

Tomoyuki Miyaji

Publication date: 15 December 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2016.09.003

zbMATH Keywords

nonlinear systemHopf-Hopf bifurcationnonequilibrium systemArnold tonguesbilliard problem

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Simulation of dynamical systems (37M05) Numerical bifurcation problems (65P30)

Related Items (3)

Reflection of a self-propelling rigid disk from a boundary ⋮ Asymptotic reflection of a self-propelled particle from a boundary wall ⋮ Interaction of non-radially symmetric camphor particles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interacting spots in reaction diffusion systems
• A billiard problem in nonlinear and nonequilibrium systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A simple global characterization for normal forms of singular vector fields
• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
• Bursts in oscillatory systems with broken \(D_4\) symmetry
• Self-motion of camphor discs: model and analysis
• Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system
• Hopf bifurcation with the symmetry of the square
• Three Sources and Three Component Parts of the Concept of Dissipative Solitons
• Particle–wave association on a fluid interface
• Elements of applied bifurcation theory

This page was built for publication: Arnold tongues in a billiard problem in nonlinear and nonequilibrium systems