References

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• 2006The principle of preservation of probability and the generalized density evolution equation517 cited
• 1993On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems289 cited
• 2000Efficient path integration methods for nonlinear dynamic systems250 cited
• 1990The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation199 cited
• 2011An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators181 cited
• 2022A unified formalism of the GE-GDEE for generic continuous responses and first-passage reliability analysis of multi-dimensional nonlinear systems subjected to non-white-noise excitations88 cited
• 1992Dynamic response of non-linear systems to poisson-distributed random impulses58 cited
• 2021First-passage reliability of high-dimensional nonlinear systems under additive excitation by the ensemble-evolving-based generalized density evolution equation57 cited
• 2018Dimension-reduced FPK equation for additive white-noise excited nonlinear structures56 cited
• 2023Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation49 cited
• 2015Path integral solution for nonlinear systems under parametric Poissonian white noise input44 cited