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

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

2003-02-17

arxiv.org/abs/nlin/0302040v1

Physica A 327, 59 (2003)

Nonlinear Sciences

Chaotic Dynamics

9 pages, 4 figures; elsart.cls style

Scientific paper

10.1016/S0378-4371(03)00451-5

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 \cite{excitablePRL,excitablePRE}, describing the transverse profile of the filament-like structures observed in the system. Here, we perform a bifurcation analysis of this one-dimensional approximation as a function of the {\it Damk{\"o}hler} number, the ratio between the chemical and the strain rates. Different branches of stable solutions are calculated, and a Hopf bifurcation, leading to an oscillating filament, identified.

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