Noise Transformation in Nonlinear System with Intensity Dependent Phase Rotation
Chaotic Dynamics
2007-05-23 v1
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.
Cite
@article{arxiv.nlin/0211014,
title = {Noise Transformation in Nonlinear System with Intensity Dependent Phase Rotation},
author = {V. V. Zverev},
journal= {arXiv preprint arXiv:nlin/0211014},
year = {2007}
}
Comments
LaTeX, 14 pages