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

被引:8
作者
Hernández-García, E
López, C
Neufeld, Z
机构
[1] UIB, CSIC, Inst Mediterraneo Estudios Avanzados IMEDEA, E-07122 Palma de Mallorca, Spain
[2] Univ Illes Balears, Dept Fis, E-07122 Palma de Mallorca, Spain
[3] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England
关键词
excitable media; reacting flows; reacting filaments;
D O I
10.1016/S0378-4371(03)00451-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:59 / 64
页数:6
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