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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

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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.