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

Authors:Hernández-García, Emilio
López, Cristóbal
Neufeld, Zoltan
Keywords:Excitable media, Reacting flows, Reacting filaments, [PACS] Oscillations, chaos, and bifurcations, [PACS] Pattern formation in reactions with diffusion, flow and heat transfer, [PACS] Reactive, radiative, or nonequilibrium flows, [PACS] Chaos
Issue Date:28-Jun-2003
Citation:Physica A 327(1-2): 59-64 (2003)
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.
Description:6 pages 3 figures.-- PACS nrs.: 82.40.Bj; 82.40.Ck; 47.70.−n; 47.52.+j.-- Printed version published Sep 1, 2003.-- ArXiv pre-print available at: http://arxiv.org/abs/nlin/0302040
Contributed to: XIIIth Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics (Colonia del Sacramento, Uruguay, Dec 9-13, 2002).
Publisher version (URL):http://dx.doi.org/10.1016/S0378-4371(03)00451-5
Appears in Collections:(IFISC) Artículos

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