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arXiv · 1703.10635

Projections of Patterns and Mode Interactions

Sofia B. S. D. Castro·Isabel S. Labouriau·Juliane F. Oliveira
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Abstract

We study solutions of bifurcation problems with periodic boundary conditions, with periods in an $n+1$-dimensional lattice and their projection into $n$-dimensional space through integration of the last variable. We show that generically the projection of a single mode solution is a mode interaction. This can be applied to the study of black-eye patterns.

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Sofia B. S. D. Castro, Isabel S. Labouriau, Juliane F. Oliveira. 2017-11-03. Projections of Patterns and Mode Interactions. https://arxiv.org/abs/1703.10635

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