Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators

1999/05/27 by N. V. Alexeeva, I. V. Barashenkov, G. P. Tsironis
Physics and Astronomy · #patt-sol #chao-dyn #nlin.CD #nlin.PS

paper · pdf · doi:10.1103/physrevlett.84.3053

4 pages in RevTeX; 7 figures in ps format

arxiv created 1999/05/27 · arxiv updated 2009/11/30

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.

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