Localized states in bistable pattern forming systems
Pattern Formation and Solitons
2016-08-16 v2
Abstract
We present an unifying description of a new class of localized states, appearing as large amplitude peaks nucleating over a pattern of lower amplitude. Localized states are pinned over a lattice spontaneously generated by the system itself. We show that the phenomenon is generic and requires only the coexistence of two spatially periodic states. At the onset of the spatial bifurcation, a forced amplitude equation is derived for the critical modes, which accounts for the appearance of localized peaks
Cite
@article{arxiv.nlin/0511054,
title = {Localized states in bistable pattern forming systems},
author = {Umberto Bortolozzo and Marcel G. Clerc and Claudio Falcon and Stefania Residori and René Rojas},
journal= {arXiv preprint arXiv:nlin/0511054},
year = {2016}
}