Affiliation:
1. College of Mathematical Sciences, Harbin Engineering University, Harbin 150001, Heilongjiang, P. R. China
Abstract
In this paper, we consider the Brusselator system with cross-diffusion-like coupling and study Turing bifurcation of its stable Hopf bifurcating periodic solutions. According to the Brusselator system’s diffusivity, a formula is established to determine the Turing bifurcation of periodic solutions. Additionally, for the Brusselator system with cross-diffusion-like coupling, a proof method for its periodic solutions to generate Turing bifurcation is given. Finally, the theoretical results are further verified by numerical simulations.
Funder
Central Universities of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)