Pattern formation in excitable reaction-diffusion systems: the eikonal analysis on the torus

A.J. Mulholland, J. Gomatam

Research output: Contribution to journalArticle

Abstract

The excitable reaction-diffusion (R-D) systems of biological and chemical origin harbour a wealth of patterns and structures, not all of which have been modelled by the full R-D equations. The analytical and numerical facility offered by the eikonal approach to the R-D equation is exploited here in the demonstration of existence and stability of a class of solutions on a torus.
Original languageEnglish
Pages (from-to)1013-1019
Number of pages6
JournalJournal of Biological Systems
Volume3
Issue number4
Publication statusPublished - 1995

Keywords

  • Reaction–Diffusion
  • excitable
  • three-dimensional
  • stability
  • multiply-connected

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