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Cumulants and correlations for linear systems under non-stationary delta-correlated processes
6 references·7 citing·28 second hop
Cumulants and correlations for linear systems under non-stationary delta-correlated processes (1994)Cumulants and correlations for linear sys…Stochastic Differential Equations (2021)Stochastic Differential Equat…Stochastic Differential Equations (2014)Stochastic Differential Equat…Stochastic Differential Equations (2003)Stochastic Differential Equat…Non‐Normal Stochastic Response of Linear Systems (1986)Non‐Normal Stochastic Respons…Cumulants of Stochastic Response for Linear Systems (1986)Cumulants of Stochastic Respo…Probabilistic Theory of Structural Dynamics (1976)Probabilistic Theory of Struc…Non-stationary non-Gaussian random vibration analysis of Duffing systems based on explicit time-domain method (2023)Non-stationary non-Gaussian r…An evolutive probability transformation method for the dynamic stochastic analysis of structures (2022)An evolutive probability tran…Direct derivation of response moment and cumulant equations for non-linear stochastic problems (2000)Direct derivation of response…Response cumulants of nonlinear systems subject to external and multiplicative excitations (1999)Response cumulants of nonline…Higher order statistics of the response of MDOF linear systems excited by linearly parametric white noises and external excitations (1997)Higher order statistics of th…Non-stationary response of linear systems under stochastic Gaussian and non-Gaussian excitation: a brief overview of recent results (1996)Non-stationary response of li…Stochastic dynamics of MDOF structural systems under non-normal filtered inputs (1994)Stochastic dynamics of MDOF s…Probability of Response to Evolutionary Process (1980)Oscillator Response to Nonstationary Excitation (1984)Numerical Analysis of Structural Systems Subjected to Non-Gaussian Random Fields (2002)Probability, statistics, and decision for civil engineers (1970)Ito and Stratonovich integrals for delta-correlated processes (1993)Random Vibration of Beam under Moving Loads (1994)Linear systems excited by polynomial forms of non-Gaussian filtered processes (1995)On the relation between ordinary and stochastic differential equations (1965)Computational Stochastic Mechanics (1991)Stochastic Structural Dynamics 2 (1991)Stochastic averaging: An approximate method of solving random vibration problems (1986)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)Stochastic Differential Equations and Diffusion Processes (1983)Maximum Likelihood Estimation of Generalized Itô Processes with Discretely Sampled Data (1988)Continuous Martingales and Brownian Motion (1999)Brownian Motion and Stochastic Calculus (2007)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Functional Itô calculus and stochastic integral representation of martingales (2013)Random field finite elements (1986)Nonlinear Vibration Models for Extremes and Fatigue (1988)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)A pricing method for options based on average asset values (1990)Do subsidies to commercial R&D reduce market failures? Microeconometric evaluation studies (2000)G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Itô Type (2007)Stochastic control theory and operational research (1984)A unified method for pricing options on diffusion processes (1991)Equilibria in a stochastic resource management game under imperfect information (1993)
this work references cited by second hop

References

  • 2003Stochastic Differential Equations2,978 cited
  • 1976Probabilistic Theory of Structural Dynamics1,398 cited
  • 2014Stochastic Differential Equations574 cited
  • 1986Non‐Normal Stochastic Response of Linear Systems62 cited
  • 2021Stochastic Differential Equations53 cited
  • 1986Cumulants of Stochastic Response for Linear Systems25 cited

Cited by

  • 1996Non-stationary response of linear systems under stochastic Gaussian and non-Gaussian excitation: a brief overview of recent results16 cited
  • 1994Stochastic dynamics of MDOF structural systems under non-normal filtered inputs13 cited
  • 2023Non-stationary non-Gaussian random vibration analysis of Duffing systems based on explicit time-domain method11 cited
  • 1997Higher order statistics of the response of MDOF linear systems excited by linearly parametric white noises and external excitations10 cited
  • 2022An evolutive probability transformation method for the dynamic stochastic analysis of structures9 cited
  • 2000Direct derivation of response moment and cumulant equations for non-linear stochastic problems9 cited
  • 1999Response cumulants of nonlinear systems subject to external and multiplicative excitations9 cited

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