Spatiotemporal Patterns Induced by Turing-Hopf Interaction and Symmetry on a Disk
Dynamical Systems
2023-11-06 v2
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.
Cite
@article{arxiv.2309.06133,
title = {Spatiotemporal Patterns Induced by Turing-Hopf Interaction and Symmetry on a Disk},
author = {Yaqi Chen and Xianyi Zeng and Ben Niu},
journal= {arXiv preprint arXiv:2309.06133},
year = {2023}
}