Abstract
In the previous paper[1], we have studied a class of nonlinear stochastic dynamical systems using the stochastic adiabatic approximation. A closed evolution equation for the slow variable is obtained. In the present study, we use the methods proposed by the authors in Refs. [2] and [3] to treat the closed equation which is derived by means of the new eliminating technique developed in Ref. [1] recently. Two important stochastic dynamical models, the simplified single–mode laser model and the stochastic Haken model, are treated concretely. The coupling effect of the additive and the multiplicative noise is found.
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