Investigation of a stochastic system from a viewpoint of studying the randomness
propagation process in a physical system starts to play an important role in understanding …

A review of theoretical concepts and diverse applications of sparse representations and
compressive sampling (CS) approaches in engineering mechanics problems is provided …

The joint probability density function (PDF) of multiple response processes of a system is a
crucial topic in the fields of science and engineering. It is adopted to describe the dependent …

It has long been one of the main challenges in science and engineering to capture the
probabilistic response of high-dimensional nonlinear stochastic dynamic systems involving …

A Wiener path integral variational formulation with free boundaries is developed for
determining the stochastic response of high-dimensional nonlinear dynamical systems in a …

A novel approximate analytical technique for determining the non-stationary response
probability density function (PDF) of randomly excited linear and nonlinear oscillators …

Abstract The Dimension-Reduced Probability Density Evolution Equation (DR-PDEE) offers
a promising approach for evaluating probability density evolution in stochastic dynamical …

An extrapolation approach within the Wiener path integral (WPI) technique is developed for
determining the stochastic response of diverse nonlinear dynamical systems. Specifically …

A technique based on the concept of Wiener path integral (WPI) is developed for
determining approximately the joint response probability density function (PDF) of nonlinear …

Analyzing the reliability of a stochastic dynamical system represents one of the most
challenging problems in stochastic dynamics. In this paper, the reliability of dynamical …