PATTERN FORMATION IN EXCITABLE REACTION–DIFFUSION SYSTEMS: THE EIKONAL ANALYSIS ON THE TORUS

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.