Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

A new approach for time-variant probability density function of the maximal value of stochastic dynamical systems

16 references·9 citing·27 second hop

FromToDepth

this work references cited by second hop

References

2001An Introduction to Statistical Modeling of Extreme Values7,338 cited
2017Structural Reliability Analysis and Prediction3,780 cited
1987Extreme Values, Regular Variation and Point Processes3,165 cited
2003Stochastic Differential Equations2,978 cited
1975Probability Concepts in Engineering Planning and Design2,575 cited
2002An Introduction to Statistical Modeling of Extreme Values1,224 cited
2009Stochastic Dynamics of Structures923 cited
2012Introduction to Stochastic Calculus with Applications875 cited
1967Probabilistic Structural Dynamics: Advanced Theory and Applications629 cited
2005Introduction to Stochastic Calculus with Applications569 cited
2006The equivalent extreme-value event and evaluation of the structural system reliability447 cited
2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations447 cited
2012Stochastic Dynamics of Marine Structures353 cited
2006The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters352 cited
2003Extreme Values in Finance, Telecommunications, and the Environment

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

225 cited

2011An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators181 cited

Cited by

2019A novel method based on augmented Markov vector process for the time-variant extreme value distribution of stochastic dynamical systems enforced by Poisson white noise21 cited
2025Structural design optimization under stochastic excitations considering first-passage probability constraint based on dimension-reduced probability density evolution equation20 cited
2022Efficient approach for dynamic reliability analysis based on uniform design method and Box-Cox transformation20 cited
2023A new path integration method for the stochastic system under Poisson white noise excitation based on a probability mapping16 cited
2022An efficient load effect combination method based on probability density evolution method13 cited
2023Property of intrinsic drift coefficients in globally-evolving-based generalized density evolution equation for the first-passage reliability assessment13 cited
2023Response and reliability of suspension system under stochastic and periodic track excitations by path integral method13 cited
2023Path integration method based on a decoupling probability mapping for fast solving the stochastic response of dynamical systems11 cited
2025Dimension-reduced Chapman-Kolmogorov equation for high-dimensional stochastic dynamical systems10 cited