We demonstrate the spontaneous formation of spatial patterns in a damped, ac-driven cubic Klein-Gordon lattice. These patterns are composed of arrays of intrinsic localized modes characteristic for nonlinear lattices. We analyze the modulation instability leading to this spontaneous pattern formation. Our calculation of the modulational instability is applicable in one- and two-dimensional lattices; however, in the analyses of the emerging patterns we concentrate particularly on the two-dimensional case.
Spontaneous pattern formation in driven nonlinear lattices / Vanossi, Andrea; Rasmussen, Ko; Bishop, Ar; Malomed, Ba; Bortolani, Virginio. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - STAMPA. - 62:5(2000), pp. 7353-7357. [10.1103/PhysRevE.62.7353]
Spontaneous pattern formation in driven nonlinear lattices
VANOSSI, andrea;BORTOLANI, Virginio
2000
Abstract
We demonstrate the spontaneous formation of spatial patterns in a damped, ac-driven cubic Klein-Gordon lattice. These patterns are composed of arrays of intrinsic localized modes characteristic for nonlinear lattices. We analyze the modulation instability leading to this spontaneous pattern formation. Our calculation of the modulational instability is applicable in one- and two-dimensional lattices; however, in the analyses of the emerging patterns we concentrate particularly on the two-dimensional case.
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