Nv. Alexeeva et al., Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators, PHYS REV L, 84(14), 2000, pp. 3053-3056
Chains of parametrically driven, damped pendula are known to support solito
nlike clusters of in-phase motion which become unstable and seed spatiotemp
oral chaos for sufficiently large driving amplitudes. We show that the pinn
ing of the soliton on a "long" impurity (a longer pendulum) expands dramati
cally its stability region, whereas "short" defects simply repel solitons p
roducing an effective partition of the chain. We also show that defects may
spontaneously nucleate solitons.