Spatiotemporal Patterns Induced by Turing-Hopf Interaction and Symmetry on a Disk

2023/09/12 by Chen, Yaqi, Zeng, Xianyi, Niu, Ben
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.06133

Abstract

Turing bifurcation and Hopf bifurcation are two important kinds of transitions giving birth to inhomogeneous solutions, in spatial or temporal ways. On a disk, these two bifurcations may lead to equivariant Turing-Hopf bifurcations. In this paper, normal forms for three kinds of Turing-Hopf bifurcations are given and the breathing, standing wave-like, and rotating wave-like patterns are found in numerical examples.

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