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    Stationary Solution of Duffing Oscillator Driven by Additive and Multiplicative Colored Noise Excitations 

    Source: Journal of Vibration and Acoustics:;2017:;volume( 139 ):;issue: 002:;page 24502
    Author(s): Guo, Siu-Siu; Shi, Qingxuan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A bistable Duffing oscillator subjected to additive and multiplicative Ornstein–Uhlenbeck (OU) colored excitations is examined. It is modeled through a set of four first-order stochastic differential equations by representing ...
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    Influence of Nonzero Mean Impulse Amplitudes on the Response Statistics of Dynamical Systems 

    Source: Journal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 004:;page 41002
    Author(s): Guo, Siu-Siu; Shi, Qing-Xuan; Zhu, Hai-Tao
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper investigates the influences of nonzero mean Poisson impulse amplitudes on the response statistics of dynamical systems. New correction terms of the extended Itô calculus, as a generalization of the Wong–Zakai ...
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