Reduced model from a reaction-diffusion system of collective motion of camphor boats

DOI10.3934/dcdss.2015.8.847zbMath1317.35121OpenAlexW2551418624MaRDI QIDQ2515709

Shin-ichiro Ei, Akiyasu Tomoeda, Kota Ikeda, Masaharu Nagayama

Publication date: 6 August 2015

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.2015.8.847

zbMATH Keywords

bifurcationcenter manifold theorytraveling wave solutioncollective motion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Traveling wave solutions (35C07)

Related Items (3)

Reflection of a self-propelling rigid disk from a boundary ⋮ Interaction of non-radially symmetric camphor particles ⋮ Center manifold theory for the motions of camphor boats with delta function

Cites Work

• Pulse-pulse interaction in reaction-diffusion systems
• A theoretical and experimental study on the unidirectional motion of a camphor disk
• Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats
• In vitroVasculogenesis Models Revisited - Measurement of VEGF Diffusion in Matrigel
• The motion of weakly interacting pulses in reaction-diffusion systems

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