Abstract
A class of nonlinear dynamical systems with random parameters and initial conditions is considered. The transient time evolution of the mean value of the dependent variable is analyzed both by means of the stochastic averaging method and by Adomian's decomposition method. A proof of the equivalence of the decomposition method to the time series approximation of the dynamical response is provided. An application is made to the Van der Pol equation and finally a comparison between the two previously discussed methods is given.
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