Issue 24, 2003

Travelling waves in the Oregonator model for the BZ reaction

Abstract

Numerical solutions of the travelling wave equations that arise in the two-variable Oregonator model for the BZ reaction are obtained for a wide range of parameter values. The main feature is the saddle-node bifurcation in the solutions, giving upper bounds for the existence of travelling waves and indicating the change from the excitable to the subexcitable regimes. The values of the upper bound fm of the stoichiometry factor f in the model are determined in terms of the excitability parameter ε for various values of the kinetic parameter q and D, the ratio of the diffusion coefficients of HBrO2 and the oxidized form of the catalyst.

Article information

Article type
Paper
Submitted
21 Jul 2003
Accepted
16 Oct 2003
First published
07 Nov 2003

Phys. Chem. Chem. Phys., 2003,5, 5448-5453

Travelling waves in the Oregonator model for the BZ reaction

I. Z. Kiss, J. H. Merkin, S. K. Scott and P. L. Simon, Phys. Chem. Chem. Phys., 2003, 5, 5448 DOI: 10.1039/B308315B

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