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

Mulholland, A.J. and Gomatam, J. (1995) Pattern formation in excitable reaction-diffusion systems: the eikonal analysis on the torus. Journal of Biological Systems, 3 (4). pp. 1013-1019. ISSN 0218-3390 (http://dx/doi.org/10.1142/S0218339095000903)

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.

ORCID iDs

Mulholland, A.J. ORCID: https://orcid.org/0000-0002-3626-4556

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• Item metadata

  Item type:	Article
  ID code:	18665
  Dates:	Date Event 1995 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Mrs Carolynne Westwood
  Date deposited:	15 Oct 2010 12:35
  Last modified:	11 Nov 2024 09:15
  URI:	https://strathprints.strath.ac.uk/id/eprint/18665