We consider reaction–diffusion equations on closed surfaces in \({{\mathbb {R}}}^3\) having genus 1. Stable nonconstant stationary solutions are often called patterns. The purpose of this paper is to construct closed surfaces together with patterns having as many critical points as one wants.

中文翻译：

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拓扑花托上具有许多关键点的模式的构造

我们考虑\（{{{\ mathbb {R}}} ^ 3 \）中具有属1的闭合表面上的反应扩散方程。稳定的非恒定平稳解通常被称为模式。本文的目的是构造闭合表面以及具有任意临界点的图案。