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Article overview
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Noise Transformation in Nonlinear System with Intensity Dependent Phase Rotation | V.V. Zverev
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9 Nov 2002 | Journal: | Stochastics and Dynamics, Vol. 3, No. 4 (2003) 421-433 | Subject: | Chaotic Dynamics MSC-class: 70K55 (Primary) 34F05, 34K50, 37H10, 37L55 (Secondary) | nlin.CD | Affiliation: | Ural State Technical University, Ekaterinburg, Russia | Abstract: | The 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. | Source: | arXiv, nlin.CD/0211014 | Services: | Forum | Review | PDF | Favorites |
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