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arXiv · 2309.06133

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

Yaqi Chen·Xianyi Zeng·Ben Niu
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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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Yaqi Chen, Xianyi Zeng, Ben Niu. 2023-09-12. Spatiotemporal Patterns Induced by Turing-Hopf Interaction and Symmetry on a Disk. https://arxiv.org/abs/2309.06133

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