Filament bifurcations in a one-dimensional model of reacting excitable fluid flow

Recently, it has been shown that properties of excitable media stirred by two-dimensional chaotic flows can be properly studied in a one-dimensional framework describing the transverse profile of the filament-like structures observed in the system. Here, we perform a bifurcation analysis of this one-dimensional approximation. Different branches of stable solutions and a Hopf bifurcation leading to an oscillating filament are described.

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Year of publication:	2003
Authors:	Hernández-Garcı́a, Emilio ; López, Cristóbal ; Neufeld, Zoltán
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 327.2003, 1, p. 59-64
Publisher:	Elsevier
Subject:	Excitable media \| Reacting flows \| Reacting filaments

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011063110