From localized spot to the formation of invaginated labyrinth structures in spatially extended systems
Pattern Formation and Solitons
2015-05-22 v1
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.
Keywords
Cite
@article{arxiv.1505.05621,
title = {From localized spot to the formation of invaginated labyrinth structures in spatially extended systems},
author = {I. Bordeu and M. G. Clerc and R. Lefever and M. Tlidi},
journal= {arXiv preprint arXiv:1505.05621},
year = {2015}
}
Comments
9 pages, 6 figures