From localized spot to the formation of invaginated labyrinth structures in spatially extended systems

I. Bordeu; M. G. Clerc; R. Lefever; M. Tlidi

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arXiv · 1505.05621

From localized spot to the formation of invaginated labyrinth structures in spatially extended systems

I. Bordeu·M. G. Clerc·R. Lefever·M. Tlidi

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Abstract

The stability of a circular localized spot with respect to azimuthal perturbations is studied in in a variational Swift-Hohenberg model equation. The conditions under which the circular shape undergoes an elliptical deformation that transform it into a rod shape structure are analyzed. As it elongates the rod-like structure exhibits a transversal instability that generates an invaginated labyrinth structure which invades all the space available.

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I. Bordeu, M. G. Clerc, R. Lefever, M. Tlidi. 2015-05-21. From localized spot to the formation of invaginated labyrinth structures in spatially extended systems. https://arxiv.org/abs/1505.05621

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