Towards a global classification of excitable reaction-diffusion systems

Preprint

13 November 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.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.

Keywords

EXCITABLE REACTION DIFFUSION
REACTION DIFFUSION SYSTEMS
GLOBAL CLASSIFICATION
SYSTEMS PATTERNS
BIFURCATIONS

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Version 1, 1998-11-13, ArXiv

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