27 citations · 46 across the 11 of their papers we have counts for
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math.DS2012
Modeling nonlinear random vibration: Implication of the energy conservation law
Xu Sun, Jinqiao Duan, Xiaofan Li
Nonlinear random vibration under excitations of both Gaussian and Poisson white noises is considered. The model is based on stochastic differential equations, and the corresponding…
math.DS2012
An alternative expression of Di Paola and Falson's formula for stochastic dynamics
Xu Sun, Jinqiao Duan, Xiaofan Li
Di Paola and Falsone's formula is widely used in studying stochastic dynamics of nonlinear systems under Poisson white noise. In this short communication, an alternative expression…
math.DS2012★ 27 cited
Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian Levy processes
Xu Sun, Jinqiao Duan
The Fokker-Planck equations describe time evolution of probability densities of stochastic dynamical systems and are thus widely used to quantify random phenomena such as uncertain…