Oregonator: General results of positive steady state and its stability
type: Item
instance of: scholarly article
title: Oregonator: General results of positive steady state and its stability
zbMATH Open document ID: 0871.34020
author: Suochun Zhang
published in: Chinese Science Bulletin
publication date: 1996-12-12T00:00:00Z
review text: Consider the differential equations \((*)\) \(\varepsilon dx/dt= x(1-x)- fz\frac{x-\mu}{x+\mu}\), \(dz/dt=x-z\) representing a two-dimensional version due to J. J. Tyson of the Oregonator model for the famous Belousov-Zhabotinskii reaction. For \(0<\mu<1\), \(0<\varepsilon<1\), \(0<f<+\infty\), the author studies the stability of the unique positive equilibrium of \((*)\) and establishes Hopf bifurcation.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 940892
zbMATH Keywords: Belousov-Zhabotinskii reaction
zbMATH Keywords: stability
zbMATH Keywords: positive equilibrium
zbMATH Keywords: Hopf bifurcation
reviewed by: Klaus R. Schneider
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 940892