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

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

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 modulat...

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Veröffentlicht in:Chaos (Woodbury, N.Y.) N.Y.), 2021-05, Vol.31 (5), p.053109-053109, Article 053109
Hauptverfasser: Gauß, Nicole, Schneider, Guido, Ali Sunny, Danish, Zimmermann, Dominik
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics, Applied
Modulation
Physical Sciences
Physics
Physics, Mathematical
Science & Technology
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Zusammenfassung: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.
ISSN:1054-1500
1089-7682
DOI:10.1063/5.0039367