On the steadily rotating spirals

DOI10.1007/BF03167495zbMath1103.34035MaRDI QIDQ2493485

Jong-Shenq Guo, Toshiko Ogiwara, Ken-Ichi Nakamura, Je-Chiang Tsai

Publication date: 19 June 2006

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

zbMATH Keywords

phase planespiral wave solutionssteadily rotating spiral wave

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34C99)

Related Items (7)

Crystalline motion of spiral-shaped polygonal curves with a tip motion ⋮ Existence of rotating spots with spatially dependent feedback in the plane in a wave front interaction model ⋮ Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model ⋮ Kinematic model of propagating arc-like segments with feedback ⋮ On spiral solutions to generalized crystalline motion with a rotating tip motion ⋮ Curvature effect on asymptotic profiles of spiral curves ⋮ A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces

Cites Work

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• Self-similar solutions for the kinematic model equation of spiral waves
• Singular perturbation theory of traveling waves in excitable media (A review)
• On the structure of steady solutions for the kinematic model of spiral waves in excitable media
• Complex dynamics of spiral waves and motion of curves
• Multiplicity of rotating spirals under curvature flows with normal tip motion
• Exact solutions for the kinematic model of autowaves in two-dimensional excitable media
• Rotating spirals of curvature flows: a center manifold approach
• The Core of the Spiral
• The structure of solutions for equations related to the motions of plane curves

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