A numerical method for the dynamics and stability of spiral waves

DOI10.1016/j.amc.2010.09.002zbMath1204.65099OpenAlexW2094379515MaRDI QIDQ613277

Faridon Amdjadi

Publication date: 20 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.002

zbMATH Keywords

algorithmstabilityfinite difference methodnumerical examplesreaction-diffusion equationsFitzHugh-Nagumo type modelspiral dynamics

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (7)

The eikonal equation and meandering of spiral waves: a geometrical approach ⋮ Effect of straining on spiral wave dynamics in excitable media ⋮ Identification of the FitzHugh–Nagumo Model Dynamics via Deterministic Learning ⋮ Turing instabilities and rotating spiral waves in glycolytic processes ⋮ Planar, solitary, and spiral waves of the Burgers-CGL equations for flames governed by a sequential reaction ⋮ Electric field-induced dynamical evolution of spiral wave in the regular networks of Hodgkin-Huxley neurons ⋮ Novel high-order compact approach for dynamics of spiral waves in excitable media

Uses Software

• AUTO2000

Cites Work

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• Continuation of spiral waves
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• A dynamical systems approach to spiral wave dynamics
• Parametric forcing of scroll-wave patterns in three-dimensional excitable media

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