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

Citation
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
Citations number
31
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
84
Issue
14
Year of publication
2000
Pages
3053 - 3056
Database
ISI
SICI code
0031-9007(20000403)84:14<3053:ISOSIA>2.0.ZU;2-7
Abstract
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.