Noise Transformation in Nonlinear System with Intensity Dependent Phase Rotation

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dc.creatorZverev, V. V.
dc.date2002-11-09
dc.date.accessioned2026-07-07T05:34:25Z
dc.date.available2026-07-07T05:34:25Z
dc.descriptionThe statistical behavior of a nonlinear system described by a mapping with phase rotation is studied. We use the Kolmogorov-Chapman equations for the multi-time probability distribution functions for investigation of dynamics under the external noise perturbations. We find a stationary solution in the long-time limit as a power series around a state with complete phase randomization ("phase mixing"). The Ornstein-Uhlenbeck and Kubo-Andersen models of noise statistics are considered; the conditions of convergence of the power expansions are established.
dc.descriptionLaTeX, 14 pages
dc.identifierhttps://arxiv.org/abs/nlin/0211014
dc.identifierhttp://arxiv.org/abs/nlin/0211014
dc.identifierStochastics and Dynamics, Vol. 3, No. 4 (2003) 421-433
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80358
dc.subjectChaotic Dynamics
dc.subject70K55 (Primary) 34F05, 34K50, 37H10, 37L55 (Secondary)
dc.titleNoise Transformation in Nonlinear System with Intensity Dependent Phase Rotation
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