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The statistical behavior of a nonlinear system described by a mapping withphase rotation is studied. We use the Kolmogorov-Chapman equations for themulti-time probability distribution functions for investigation of dynamicsunder the external noise perturbations. We find a stationary solution in thelong-time limit as a power series around a state with complete phaserandomization ("phase mixing"). The Ornstein-Uhlenbeck and Kubo-Andersen modelsof noise statistics are considered; the conditions of convergence of the powerexpansions are established.

NOISE TRANSFORMATION IN NONLINEAR SYSTEM WITH INTENSITY DEPENDENT PHASE ROTATION