Patterns with prescribed numbers of critical points on topological tori

Published 28 Sep 2020 in math.AP | (2009.13035v1)

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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