Modulation theory for pattern forming systems with a spatial 1:2-resonance.

Chaos

Institut für Analysis, Dynamik und Modellierung, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany.

Published: May 2021

It is the purpose of this paper to justify the use of modulation equations for pattern forming systems in the case of multiple Turing instabilities with critical wave numbers having a ratio 1:2 by proving approximation results, presenting attractivity results, and discussing the existence of modulating fronts.

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http://dx.doi.org/10.1063/5.0039367DOI Listing

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