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An improved path integration method for nonlinear systems under Poisson white noise excitation
16 references·3 citing·35 second hopsampled
An improved path integration method for nonlinear systems under Poisson white noise excitation (2020)An improved path integration method for n…Sparse representations and compressive sampling for enhancing the computational efficiency of the Wiener path integral technique (2018)Sparse representations and co…Ideal and physical barrier problems for non-linear systems driven by normal and Poissonian white noise via path integral method (2016)Ideal and physical barrier pr…Path integral solution for nonlinear systems under parametric Poissonian white noise input (2015)Path integral solution for no…Efficient solution of the first passage problem by Path Integration for normal and Poissonian white noise (2015)Efficient solution of the fir…Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism (2014)Nonstationary Stochastic Resp…Probabilistic response of nonlinear systems under combined normal and Poisson white noise via path integral method (2010)Probabilistic response of non…Path integral solution for non-linear system enforced by Poisson White Noise (2008)Path integral solution for no…Equivalent linearization of MDOF systems under external Poisson white noise excitation (2002)Equivalent linearization of M…Solution techniques for pulse problems in non-linear stochastic dynamics (2000)Solution techniques for pulse…Efficient path integration methods for nonlinear dynamic systems (2000)Efficient path integration me…A new path integration procedure based on Gauss-Legendre scheme (1997)A new path integration proced…Response and Reliability of Poisson-Driven Systems by Path Integration (1995)Response and Reliability of P…Fast cell-to-cell mapping (path integration) for nonlinear white noise and Poisson driven systems (1995)Fast cell-to-cell mapping (pa…Equivalent linearization for Poisson white noise input (1995)Equivalent linearization for …Dynamic response of non-linear systems to poisson-distributed random impulses (1992)Dynamic response of non-linea…Dynamic response of non-linear systems to poisson-distributed pulse trains: Markov approach (1990)Dynamic response of non-linea…A new path integration method for the stochastic system under Poisson white noise excitation based on a probability mapping (2023)A new path integration method…Response Statistics of Single-Degree-of-Freedom Systems with Lévy Noise by Improved Path Integral Method (2022)Response Statistics of Single…Probabilistic analysis on parametric random vibration of a marine riser excited by correlated Gaussian white noises (2020)Probabilistic analysis on par…Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)Probability density evolution method: Background, significance and recent developments (2015)Numerical solution of stochastic differential equations (2016)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Some First-Passage Problems in Random Vibration (1966)The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation (1990)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Numerical path integration of a non-homogeneous Markov process (2004)Probabilistic Theory of Structural Dynamics (1976)Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)An extension of the Kazakov relationship for non-Gaussian random variables and its use in the non-linear stochastic dynamics (2004)Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations (2019)Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations (1984)Stochastic Differential Calculus (1993)Stochastic Differential Equations (2006)Stochastic Differential Equations (1972)Stochastic Differential Equations: Theory and Applications. (1976)Monte Carlo simulation in the stochastic analysis of non-linear systems under external stationary Poisson white noise input (2003)Non-linear systems under parametric white noise input: Digital simulation and response (2005)Methods of structural safety (2006)Method for Random Vibration of Hysteretic Systems (1976)Stochastic Differential Equations: An Introduction with Applications. (1987)An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems (2015)Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements (2016)First-passage reliability of high-dimensional nonlinear systems under additive excitation by the ensemble-evolving-based generalized density evolution equation (2021)Stochastic Finite Elements: A Spectral Approach (1991)Wiener path integrals and multi-dimensional global bases for non-stationary stochastic response determination of structural systems (2019)Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process (2020)First excursion probability of dynamical systems: A review on computational methods (2025)Stochastic response analysis of the softening Duffing oscillator and ship capsizing probability determination via a numerical path integral approach (2013)Statistical Linearization of Nonlinear Structural Systems with Singular Matrices (2016)Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation (2018)
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References

  • 2000Efficient path integration methods for nonlinear dynamic systems250 cited
  • 1997A new path integration procedure based on Gauss-Legendre scheme137 cited
  • 2014Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism94 cited
  • 2008Path integral solution for non-linear system enforced by Poisson White Noise85 cited
  • 2010Probabilistic response of nonlinear systems under combined normal and Poisson white noise via path integral method83 cited
  • 1995Response and Reliability of Poisson-Driven Systems by Path Integration63 cited
  • 1992Dynamic response of non-linear systems to poisson-distributed random impulses58 cited
  • 2018Sparse representations and compressive sampling for enhancing the computational efficiency of the Wiener path integral technique51 cited
  • 1990Dynamic response of non-linear systems to poisson-distributed pulse trains: Markov approach50 cited
  • 1995Equivalent linearization for Poisson white noise input48 cited
  • 2015Path integral solution for nonlinear systems under parametric Poissonian white noise input44 cited
  • 2000Solution techniques for pulse problems in non-linear stochastic dynamics44 cited
  • 1995Fast cell-to-cell mapping (path integration) for nonlinear white noise and Poisson driven systems36 cited
  • 2015Efficient solution of the first passage problem by Path Integration for normal and Poissonian white noise

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35 cited
  • 2002Equivalent linearization of MDOF systems under external Poisson white noise excitation35 cited
  • 2016Ideal and physical barrier problems for non-linear systems driven by normal and Poissonian white noise via path integral method25 cited
  • Cited by

    • 2023A new path integration method for the stochastic system under Poisson white noise excitation based on a probability mapping16 cited
    • 2020Probabilistic analysis on parametric random vibration of a marine riser excited by correlated Gaussian white noises16 cited
    • 2022Response Statistics of Single-Degree-of-Freedom Systems with Lévy Noise by Improved Path Integral Method14 cited