Abstract
A set of nonlinear stochastic differential equations (NSDE'S) that describes a large class of nonlinear multidimensional non-Markovian dynamical systems driven by the Ornstein-Uhlenbeck(O-U) noises is studied. By virtue of the stochastic generalization of usual adiabatic approximation, we obtain the equation for the order parameter. The statistical properties of the new stochastic variables occurred are studied. The effective Fokker-Planck equation (EFPE) corresponding to the equation for the order parameter is derived and the stationary solution of EFPE is calculated.
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