Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators
classification
patt-sol
chao-dynnlin.CDnlin.PS
keywords
solitonsdefectsdrivenparametricallyamplitudesarraysbecomechain
read the original 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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