Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators
patt-sol
2009-10-31 v1 chao-dyn
Chaotic Dynamics
Pattern Formation and Solitons
Abstract
Chains of parametrically driven, damped pendula are known to support soliton-like clusters of in-phase motion which become unstable and seed spatiotemporal chaos for sufficiently large driving amplitudes. We show that the pinning of the soliton on a "long" impurity (a longer pendulum) expands dramatically its stability region whereas "short" defects simply repel solitons producing effective partition of the chain. We also show that defects may spontaneously nucleate solitons.
Keywords
Cite
@article{arxiv.patt-sol/9905009,
title = {Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators},
author = {N. V. Alexeeva and I. V. Barashenkov and G. P. Tsironis},
journal= {arXiv preprint arXiv:patt-sol/9905009},
year = {2009}
}
Comments
4 pages in RevTeX; 7 figures in ps format