Spontaneous pattern formation in driven nonlinear lattices

Andrea Vanossi, K. Rasmussen, A. R. Bishop, Boris A. Malomed, V. Bortolani

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)7353-7357
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5
StatePublished - 2000


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