Langevin-type equation with a nonlinear drift term and a multiplicative noise term is treated. Dynamical aspects of noise-induced phase transition are studied with the aid of the method of asymptotic iteration (MAl) introduced in a previous paper. The temporal behavior of the first moment is solved exactly. It is shown that the critical slowing down does not occur at the so-called transition point.
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Y. Hamada (1981) studied this question.
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