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The bifurcation diagram of a model chemical reaction-II. Two dimensional time-periodic patterns

par Erneux, Thomas ;Kaufman, Marcelle
Référence The Bulletin of Mathematical Biophysics, 41, 6, page (767-790)
Publication Publié, 1979-11

Article révisé par les pairs

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Résumé :

The bifurcation equations of a general reaction-diffusion system are derived for a circular surface. Particular attention is directed to the deformation of the circular boundary into an elliptic shape. This leads to a new bifurcation diagram which may involve secondary bifurcation, but which retains however the basic characteristics of the solutions for the circular case. Numerical simulations of the various coexisting, time-periodic and space-dependent solutions, are presented for a simple model reaction and circular geometry. © 1979 Society for Mathematical Biology.