dorsal/arxiv
View SchemaTowards a global classification of excitable reaction-diffusion systems
| Authors | Silvina Ponce Dawson, Maria Veronica D'Angelo, John E. Pearson |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9811003 |
| URL | https://arxiv.org/abs/patt-sol/9811003 |
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.
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"abstract": "Patterns in reaction-diffusion systems near primary bifurcations can be\nstudied locally and classified by means of amplitude equations. This is not\npossible for excitable reaction-diffusion systems. In this Letter we propose a\nglobal classification of two variable excitable reaction-diffusion systems. In\nparticular, we claim that the topology of the underlying two-dimensional\nhomogeneous dynamics can be used to organize the system\u0027s behavior.",
"arxiv_id": "patt-sol/9811003",
"authors": [
"Silvina Ponce Dawson",
"Maria Veronica D\u0027Angelo",
"John E. Pearson"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Towards a global classification of excitable reaction-diffusion systems",
"url": "https://arxiv.org/abs/patt-sol/9811003"
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