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Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats

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Publication:2925964
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DOI10.21136/MB.2014.143861zbMath1340.37085OpenAlexW2242145325MaRDI QIDQ2925964

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

Publication date: 29 October 2014

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143861


zbMATH Keywords

bifurcationcenter manifold theorytraveling wave solutioncollective motion


Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations and instability for nonlinear problems in mechanics (70K50) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Bifurcation theory of functional-differential equations (34K18) Traveling wave solutions (35C07)


Related Items (2)

Existence and non-existence of asymmetrically rotating solutions to a mathematical model of self-propelled motion ⋮ Reduced model from a reaction-diffusion system of collective motion of camphor boats







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