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Impurity-Induced Stabilization of Solitons in Arrays of Parametrically Driven Nonlinear Oscillators

Impurity-Induced Stabilization of Solitons in Arrays of Parametrically Driven Nonlinear Oscillators

Chains of parametrically driven, damped pendula are known to support solitonlike 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 …