Spontaneous pattern formation in driven nonlinear lattice
斑图形成与孤子
2010-08-30 v1
摘要
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.
引用
@article{arxiv.nlin/0004035,
title = {Spontaneous pattern formation in driven nonlinear lattice},
author = {Andrea Vanossi and K. Ø. Rasmussen and A. R. Bishop and B. A. Malomed and V. Bortolani},
journal= {arXiv preprint arXiv:nlin/0004035},
year = {2010}
}