Spontaneous pattern formation in driven nonlinear lattice

Details Spontaneous pattern formation in driven nonlinear lattice Spontaneous pattern formation in driven nonlinear lattice

2000-04-20

arxiv.org/abs/nlin/0004035v1

Phys. Rev. E, 62, 7353 (2000)

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevE.62.7353

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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