Bifurcation of a helical wave from a traveling wave

DOI10.1007/BF03167591zbMath1065.35142OpenAlexW1964935546MaRDI QIDQ1764354

Hideo Ikeda, Masaharu Nagayama, Tsutomu Ikeda

Publication date: 24 February 2005

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167591

zbMATH Keywords

different numbers of reaction spotsspin mode instability

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Related Items (2)

Center manifold theory for the 1-dimensional collective motions of camphor disks with delta functions in the \(L^2\)-framework ⋮ Center manifold theory for the motions of camphor boats with delta function

Cites Work

• Unnamed Item
• Singular Limit Analysis of Stability of Traveling Wave Solutions in Bistable Reaction-Diffusion Systems
• Stability of Planar Wave Solutions to a Combustion Model
• Interaction of Pulsating and Spinning Waves in Condensed Phase Combustion
• On Spinning Propagation of Combustion Waves
• Instability of Planar Interfaces in Reaction-Diffusion Systems
• Oscillating wave fronts in isothermal chemical systems with arbitrary powers of autocatalysis
• An Asymptotic Theory of Condensed Two-Phase Flame Propagation

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