Localized states in bistable pattern forming systems
Umberto Bortolozzo, Marcel G. Clerc, Claudio Falcon, Stefania Residori, René Rojas
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
Create a lesson
Related papers
Wedge problems and dispersive shock waves in the two-dimensional Toda lattice
Marco Calabrese, Gino Biondini, Christopher Chong et al.
Numerical Direct Scattering Transform for Dark Solitons
Ilya Mullyadzhanov, Sergey Dremov, Andrey Gelash
Stable rotating vortex clusters in three-dimensional quantum droplets
Liangwei Dong, Yaroslav V. Kartashov
Bifurcation structure and mesa pattern formation in a one-component nonlocal adhesion model with population pressure and degenerate mobility
Shimpei Makida, Hideki Murakawa
Dynamics of Flat-Top--Bubble Vector Solitons
M. O. D. Alotaibi, L. Al Sakkaf, U. Al Khawaja
Dynamics of localized solutions in three core coupled waveguides with quasi-periodic nonlinearity
Bruno M. Miranda, Ardiley T. Avelar, Wesley B. Cardoso et al.