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arXiv · 2305.17363

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

Shanshan Chen·Yihuan Sun
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Abstract

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.

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Shanshan Chen, Yihuan Sun. 2023-05-27. Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions. https://arxiv.org/abs/2305.17363

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