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

• DOI: 10.48550/arxiv.2305.17363
• Publication Date: 2023-10-12
• Authors: Chen, Shanshan; Sun, Yihuan
• Keywords: FOS: Mathematics; Dynamical Systems (math.DS); Mathematics - Dynamical Systems

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.<br/>34 pages, 9 figures, references added<br/>