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Travelling waves in the Oregonator model for the BZ reaction

journal contribution
posted on 2023-06-07, 19:37 authored by Istvan Kiss, J H Merkin, S K Scott, P L Simon
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 e 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.

History

Publication status

  • Published

Journal

Physical Chemistry Chemical Physics

ISSN

1463-9076

Issue

24

Volume

5

Page range

5448 - 5453

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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