Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions

In this paper, we consider a coupled Brusselator model of chemical reactions, for which no symmetry for the coupling matrices is assumed. We show that the model can undergoes a Hopf bifurcation, and consequently periodic solutions can arise when the dispersal rates are large. Moreover, the effect of...

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Bibliographic Details
Main Authors Chen, Shanshan, Sun, Yihuan
Format Journal Article
LanguageEnglish
Published 27.05.2023
Subjects
Mathematics - Dynamical Systems
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Summary:In this paper, we consider a coupled Brusselator model of chemical reactions, for which no symmetry for the coupling matrices is assumed. We show that the model can undergoes a Hopf bifurcation, and consequently periodic solutions can arise when the dispersal rates are large. Moreover, the effect of the coupling matrices on the Hopf bifurcation value is considered for a special case.
DOI:10.48550/arxiv.2305.17363