%0 Journal Article
%T From localized spot to the formation of invaginated labyrinth structures in spatially extended systems
%A I. Bordeu
%A M. G. Clerc
%A R. Lefever
%A M. Tlidi
%J Physics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1505.05621v1