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.

中文翻译：

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拓扑环面上具有规定数量的临界点的模式

我们研究了拓扑环上反应扩散问题的稳定稳态解的临界点的存在。稳定的非常量平稳解通常称为模式。我们用规定数量的关键点构建拓扑环面和模式，这些点的位置是明确的。