Spiral waves on static and moving spherical domains

DOI10.1016/j.cam.2004.12.027zbMath1107.35062OpenAlexW2031013300MaRDI QIDQ557783

Faridon Amdjadi, Jagannathan Gomatam

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.12.027

zbMATH Keywords

StabilityChaosFitzHugh-Nagumo-type modelMeandering spiral wavesOscillating mediumStatics medium

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) General biology and biomathematics (92B05)

Related Items

The eikonal equation and meandering of spiral waves: a geometrical approach ⋮ Lattice Boltzmann model for the bimolecular autocatalytic reaction-diffusion equation ⋮ A finite volume scheme preserving the invariant region property for the coupled system of FitzHugh-Nagumo equations on distorted meshes ⋮ A lattice Boltzmann model for the reaction-diffusion equations with higher-order accuracy ⋮ A unified analysis for reaction-diffusion models with application to the spiral waves dynamics of the Barkley model ⋮ Numerical simulation of reaction-diffusion equations on spherical domains ⋮ Pseudospectral method of solution of the Fitzhugh-Nagumo equation

Cites Work

• The geometry and motion of reaction-diffusion waves on closed two- dimensional manifolds
• Three-dimensional waves in excitable reaction-diffusion systems
• An eikonal-curvature equation for action potential propagation in myocardium
• The eikonal approximation to excitable reaction-diffusion systems: travelling non-planar wave fronts on the plane
• Diffraction of spherical waves by a toroidal obstacle: eikonal approach to excitable reaction—diffusion systems
• A dynamical systems approach to spiral wave dynamics
• Cookbook asymptotics for spiral and scroll waves in excitable media
• Parametric forcing of scroll-wave patterns in three-dimensional excitable media