Abstract
The formalism presented in this paper for deriving a kinetic equation for a dynamical system with multiplicative colored noise is to quite a degree universal. It can be used to investigate nonequilibrium phase transitions induced by both additive and multiplicative colored noise. The formalism can be used to describe, the behavior of a system under the influence of several stationary noise sources. The formalism can be generalized to the case of a system of equations with noise sources. One can investigate in its framework systems of the form\(\dot x = f_0 (x, t) + \eta (t)f_1 (x, t)\),i.e., systems subject simultaneously to noise and a deterministic force.
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