Model of a two-dimensional extended chaotic system: evidence of diffusing dissipative solitons.

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Abstract

We investigate a two-dimensional extended system showing chaotic and localized structures. We demonstrate the robust and stable existence of two types of exploding dissipative solitons. We show that the center of mass of asymmetric dissipative solitons undergoes a random walk despite the deterministic character of the underlying model. Since dissipative solitons are stable in two-dimensional systems we conjecture that our predictions can be tested in systems as diverse as nonlinear optics, parametric excitation of granular media and clay suspensions, and sheared electroconvection.

Original languageEnglish
Article number178303
JournalPhysical Review Letters
Volume109
Issue number17
DOIs
StatePublished - 23 Oct 2012

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