Towards a global classification of excitable reaction-diffusion systems
patt-sol
2007-05-23 v1 Pattern Formation and Solitons
Abstract
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.
Cite
@article{arxiv.patt-sol/9811003,
title = {Towards a global classification of excitable reaction-diffusion systems},
author = {Silvina Ponce Dawson and Maria Veronica D'Angelo and John E. Pearson},
journal= {arXiv preprint arXiv:patt-sol/9811003},
year = {2007}
}
Comments
Revtex, 4 pages, 4 figures