Generalized Chaotic Synchronizationin Coupled Ginzburg-Landau Equations

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dc.creatorKoronovskii, A. A.
dc.creatorPopov, P. V.
dc.creatorHramov, A. E.
dc.date2006-09-30
dc.date.accessioned2026-07-07T07:29:42Z
dc.date.available2026-07-07T07:29:42Z
dc.descriptionGeneralized synchronization is analyzed in unidirectionally coupled oscillatory systems exhibiting spatiotemporal chaotic behavior described by Ginzburg-Landau equations. Several types of coupling betweenthe systems are analyzed. The largest spatial Lyapunov exponent is proposed as a new characteristic of the state of a distributed system, and its calculation is described for a distributed oscillatory system. Partial generalized synchronization is introduced as a new type of chaotic synchronization in spatially nonuniform distributed systems. The physical mechanisms responsible for the onset of generalized chaotic synchronization in spatially distributed oscillatory systems are elucidated. It is shown that the onset of generalized chaotic synchronization is described by a modified Ginzburg-Landau equation with additional dissipation irrespective of the type of coupling. The effect of noise on the onset of a generalized synchronization regime in coupled distributed systems is analyzed.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/nlin/0610001
dc.identifierhttp://arxiv.org/abs/nlin/0610001
dc.identifierJournal of Experimental and Theoretical Physics, 2006, Vol. 103, No. 4, pp. 654-665
dc.identifierdoi:10.1134/S1063776106100189
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118209
dc.subjectChaotic Dynamics
dc.titleGeneralized Chaotic Synchronizationin Coupled Ginzburg-Landau Equations
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