Reflection of a self-propelling rigid disk from a boundary

DOI10.3934/dcdss.2020229zbMath1491.70014OpenAlexW2996409867WikidataQ126396332 ScholiaQ126396332MaRDI QIDQ829994

Masayasu Mimura, Tomoyuki Miyaji, Shin-ichiro Ei

Publication date: 7 May 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020229

zbMATH Keywords

ordinary differential equationsbilliardsheteroclinic orbitinelastic reflectionmaps on the intervalself-propelling particle

Mathematics Subject Classification ID

Collision of rigid or pseudo-rigid bodies (70F35) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (1)

Asymptotic reflection of a self-propelled particle from a boundary wall

Uses Software

• Matplotlib
• GNU parallel

Cites Work

• Interacting spots in reaction diffusion systems
• A billiard problem in nonlinear and nonequilibrium systems
• Arnold tongues in a billiard problem in nonlinear and nonequilibrium systems
• Interaction of non-radially symmetric camphor particles
• From cells to societies. Models of complex coherent action. With a foreword by Hermann Haken
• A theoretical and experimental study on the unidirectional motion of a camphor disk
• Self-motion of camphor discs: model and analysis
• Reduced model from a reaction-diffusion system of collective motion of camphor boats
• Solving Ordinary Differential Equations I
• Particle–wave association on a fluid interface
• Elements of applied bifurcation theory

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