Towards a global classification of excitable reaction-diffusion systems

Details Towards a global classification of excitable reaction-diffusion systems Towards a global classification of excitable reaction-diffusion systems

1998-11-13

arxiv.org/abs/patt-sol/9811003v1

Nonlinear Sciences

Pattern Formation and Solitons

Revtex, 4 pages, 4 figures

Scientific paper

Patterns in reaction-diffusion systems near primary bifurcations can be studied locally and classified by means of amplitude equations. This is not possible for excitable reaction-diffusion systems. In this Letter we propose a global classification of two variable excitable reaction-diffusion systems. In particular, we claim that the topology of the underlying two-dimensional homogeneous dynamics can be used to organize the system's behavior.

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