Spiral wave behaviors in an excitable reaction-diffusion system on a sphere

DOI10.1016/S0167-2789(98)00182-1zbMath0936.35093OpenAlexW2149133026MaRDI QIDQ1809418

Michio Yamada, Masayasu Mimura, Hiroki Yagisita

Publication date: 25 November 1999

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00182-1

zbMATH Keywords

spectral methodsspherical harmonics as basis functions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Theoretical approximation in context of PDEs (35A35)

Related Items (10)

A high-order kernel method for diffusion and reaction-diffusion equations on surfaces ⋮ A multigrid finite element method for reaction-diffusion systems on surfaces ⋮ Spiral waves on the sphere for an alloy electrodeposition model ⋮ Spiral wave dynamics in excitable media with spherical geometries ⋮ Splitting-based schemes for numerical solution of nonlinear diffusion equations on a sphere ⋮ Spiral waves in three-dimensional excitable media with light-sensitive reaction ⋮ Scroll waves in spherical shell geometries ⋮ Ring-shaped autowaves on curved surfaces. ⋮ Ginzburg--Landau Patterns in Circular and Spherical Geometries: Vortices, Spirals, and Attractors ⋮ Dynamics of spiral waves in excitable media with local time-periodic modulation.

Cites Work

• Unnamed Item
• Unnamed Item
• Spiral waves in the Belousov-Zhabotinskii reaction
• The geometry and motion of reaction-diffusion waves on closed two- dimensional manifolds
• Complex dynamics of spiral waves and motion of curves
• The Core of the Spiral
• A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODEL
• Quantum Action-Angle Variables for the Harmonic Oscillator
• Comparison of Pseudospectral and Spectral Approximation
• Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations

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