| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7155402 | Communications in Nonlinear Science and Numerical Simulation | 2015 | 15 Pages |
Abstract
The stability of a circular localized spot with respect to azimuthal perturbations is studied in a prototype variational model, namely, a Swift-Hohenberg type equation. The conditions under which the circular shape of the spot undergoes an elliptical deformation which transforms it into a rod-shaped structure are analyzed. As it elongates, the rod structure exhibits a transversal instability, generating an invaginated labyrinthine structure which invades all the space available.
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Authors
I. Bordeu, M.G. Clerc, R. Lefever, M. Tlidi,