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- W2087687079 abstract "We employ the equivalence between Zwanzig's projection-operator formalism and perturbation theory to demonstrate that the approximate-solution technique of statistical linearization for nonlinear stochastic differential equations corresponds to the lowest-order $ensuremath{beta}$ truncation in both the consolidated perturbation expansions and in the mass operator of a renormalized Green's function equation. Other consolidated equations can be obtained by selectively modifying this mass operator. We particularize the results of this paper to the Duffing anharmonic oscillator equation." @default.
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- W2087687079 title "Connection between perturbation theory, projection-operator techniques, and statistical linearization for nonlinear systems" @default.
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- W2087687079 doi "https://doi.org/10.1103/physreva.17.370" @default.
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