This article is cited in 1 paper

Computational Mathematics

Mathematical modeling of oregonator with a diffusion type communication

L. A. Prokudina

South Ural State University, Chelyabinsk, Russian Federation

Abstract: We presented a mathematical model of the Belousov–Zhabotinsky reaction for Field–Noyes mechanism, which is called oregonator, taking into account the diffusion of components. A range of stoichiometric coefficient changes, which corresponds to a stationary state oregonator, is found. We study a diffusion instability and two types of unstable modes, as well as the points of oregonator bifurcation.

Keywords: Field–Noyes model, oregonator, diffusion instability, bifurcation point.

UDC: 519.87:577.3 + 544.1

MSC: 97M10

Received: 01.06.2016

Language: English

DOI: 10.14529/jcem1602006

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