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

Emilio Hernández-Garcı́a, Cristóbal López and Zoltán Neufeld

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 1, 59-64

Abstract: 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.

Keywords: Excitable media; Reacting flows; Reacting filaments (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:327:y:2003:i:1:p:59-64

DOI: 10.1016/S0378-4371(03)00451-5

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