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Stationary Solution of Duffing Oscillator Driven by Additive and Multiplicative Colored Noise Excitations
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 ...
Influence of Nonzero Mean Impulse Amplitudes on the Response Statistics of Dynamical Systems
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 ...