Localized states in bistable pattern-forming systems

U. Bortolozzo, M. G. Clerc, C. Falcon, S. Residori, RENE GABRIEL ROJAS CORTES

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Abstract

We present a unifying description close to a spatial bifurcation 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.

Original languageEnglish
Article number214501
JournalPhysical Review Letters
Volume96
Issue number21
DOIs
StatePublished - 8 Jun 2006

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