Patterns with prescribed numbers of critical points on topological tori

Putri Zahra Kamalia; Shigeru Sakaguchi

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arXiv · 2009.13035

Patterns with prescribed numbers of critical points on topological tori

Putri Zahra Kamalia·Shigeru Sakaguchi

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Abstract

We study the existence of critical points of stable stationary solutions to reaction-diffusion problems on topological tori. Stable nonconstant stationary solutions are often called patterns. We construct topological tori and patterns with prescribed numbers of critical points whose locations are explicit.

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Putri Zahra Kamalia, Shigeru Sakaguchi. 2020-09-28. Patterns with prescribed numbers of critical points on topological tori. https://arxiv.org/abs/2009.13035

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