A numerical method for the dynamics and stability of spiral waves

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Abstract

In this paper we propose a new method of investigating the change of dynamics in reaction–diffusion equations, which is based on approximating the Euclidian norm of state variables along with the introduction of phase space. Our method is simple in implementation and can be applied to study the dynamics of multiple spirals. The method is extended to study the stability of spiral waves by developing an algorithm which is applied to circular and meandering motions.

Original languageEnglish
Pages (from-to)3385-3391
Number of pages7
JournalApplied Mathematics and Computation
Volume217
Issue number7
Early online date9 Sep 2010
DOIs
Publication statusPublished - Dec 2010

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Keywords

  • FitzHugh–Nagumo type model
  • spiral dynamics
  • stability

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