Localized states in bistable pattern forming systems

Umberto Bortolozzo (1, 2) , Marcel Clerc (3) , Claudio Falcon (3) , Stefania Residori (1) , René Rojas (1)

1 INLN - Institut Non Linéaire de Nice Sophia-Antipolis
2 INOA - Istituto Nazionale di Ottica Applicata
3 Departamento de Fisica [USACH Santiago]

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

Mots clés: Pattern formation; Pattern selection; Nonlinear dynamics and nonlinear dynamical systems

Domaines: Formation de Structures et Solitons [nlin.PS]

Umberto Bortolozzo, Marcel Clerc, Claudio Falcon, Stefania Residori, René Rojas. Localized states in bistable pattern forming systems. Physical Review Letters, 2006, 96, pp.214501. ⟨hal-00014398v2⟩