dorsal/arxiv
View SchemaImpurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators
| Authors | N. V. Alexeeva, I. V. Barashenkov, G. P. Tsironis |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9905009 |
| URL | https://arxiv.org/abs/patt-sol/9905009 |
| DOI | 10.1103/PhysRevLett.84.3053 |
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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"abstract": "Chains of parametrically driven, damped pendula are known to support\nsoliton-like clusters of in-phase motion which become unstable and seed\nspatiotemporal chaos for sufficiently large driving amplitudes. We show that\nthe pinning of the soliton on a \"long\" impurity (a longer pendulum) expands\ndramatically its stability region whereas \"short\" defects simply repel solitons\nproducing effective partition of the chain. We also show that defects may\nspontaneously nucleate solitons.",
"arxiv_id": "patt-sol/9905009",
"authors": [
"N. V. Alexeeva",
"I. V. Barashenkov",
"G. P. Tsironis"
],
"categories": [
"patt-sol",
"chao-dyn",
"nlin.CD",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.84.3053",
"title": "Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators",
"url": "https://arxiv.org/abs/patt-sol/9905009"
},
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