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Modified Path Integral Solution of Fokker–Planck Equation: Response and Bifurcation of Nonlinear Systems

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References

1990Random vibration and statistical linearization995 cited
1965On the relation between ordinary and stochastic differential equations697 cited
1992Random Vibration of Mechanical and Structural Systems493 cited
1993Random vibration of mechanical and structural systems464 cited
1983Introduction to Random Vibrations433 cited
1993On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems289 cited
2000Efficient path integration methods for nonlinear dynamic systems250 cited
2006Solution of Fokker-Planck equation by finite element and finite difference methods for nonlinear systems157 cited
1997A new path integration procedure based on Gauss-Legendre scheme137 cited
1985A finite element method for the statistics of non-linear random vibration110 cited
1986Introduction to Random Vibration96 cited
2004Numerical path integration of a non-homogeneous Markov process81 cited
1992Response Statistics of Nonlinear Dynamic Systems by Path Integration63 cited
1992Nonlinear Stochastic Mechanics33 cited

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2024Efficient path integral approach via analytical asymptotic expansion for nonlinear systems under Gaussian white noise

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22 cited