Filament bifurcations in a one-dimensional model of reacting excitable fluid flow
Chaotic Dynamics
2009-11-10 v1
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 \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.
Keywords
Cite
@article{arxiv.nlin/0302040,
title = {Filament bifurcations in a one-dimensional model of reacting excitable fluid flow},
author = {Emilio Hernandez-Garcia and Cristobal Lopez and Zoltan Neufeld},
journal= {arXiv preprint arXiv:nlin/0302040},
year = {2009}
}
Comments
9 pages, 4 figures; elsart.cls style