Noise Transformation in Nonlinear System with Intensity Dependent Phase Rotation

Details Noise Transformation in Nonlinear System with Intensity Dependent Phase Rotation Noise Transformation in Nonlinear System with Intensity Dependent Phase Rotation

2002-11-09

arxiv.org/abs/nlin/0211014v1

Stochastics and Dynamics, Vol. 3, No. 4 (2003) 421-433

Nonlinear Sciences

Chaotic Dynamics

LaTeX, 14 pages

Scientific paper

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.

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