Stochastic Oscillators with Quadratic Nonlinearity Using WHEP and HPM Methods

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In this paper, quadratic nonlinear oscillators under stochastic
excitation are considered. The Wiener-Hermite expansion with perturbation
(WHEP) method and the homotopy perturbation method (HPM) are used and compared.
Different approximation orders are considered and statistical moments are
computed in the two methods. The two methods show efficiency in estimating the
stochastic response of the nonlinear differential equations.

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