On possibility of realization of the phenomena of complex analytic dynamics in physical systems. Novel mechanism of the synchronization loss in coupled period-doubling systems

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dc.creatorIsaeva, O. B.
dc.creatorKuznetsov, S. P.
dc.date2005-09-06
dc.date.accessioned2026-07-07T05:36:37Z
dc.date.available2026-07-07T05:36:37Z
dc.descriptionThe possibility of realization of the phenomena of complex analytic dynamics for the realistic physical models are investigated. Observation of the Mandelbrot and Julia sets in the parameter and phase spaces both for the discrete maps and non-autonomous continuous systems is carried out. For these purposes, the method, based on consideration of coupled systems, demonstrating period-doubling cascade is suggested. Novel mechanism of synchronization loss in coupled systems corresponded to the dynamical behavior intrinsic to the complex analytic maps is offered.
dc.description14 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/nlin/0509012
dc.identifierhttp://arxiv.org/abs/nlin/0509012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/81054
dc.subjectChaotic Dynamics
dc.titleOn possibility of realization of the phenomena of complex analytic dynamics in physical systems. Novel mechanism of the synchronization loss in coupled period-doubling systems
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