Exact and approximate response of non-linear stochastic systems

DOI10.1080/00207729108910820zbMath0741.93070OpenAlexW1975562713MaRDI QIDQ3986098

Leslaw Socha

Publication date: 27 June 1992

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729108910820

zbMATH Keywords

numerical examplenonlinear stochastic systemsstochastic parametric excitations

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Stochastic systems in control theory (general) (93E03)

Cites Work

• Unnamed Item
• Cumulant neglect closure for nonlinear oscillators under random parametric and external excitations
• The exact steady-state solution of a class of nonlinear stochastic systems
• Prediction of the response of nonlinear oscillators under stochastic parametric and external excitations
• Generalization of the equivalent linearization method for nonlinear random vibration problems
• On exact stationary solutions of equivalent nonlinear stochastic systems
• An exact solution to a certain nonlinear random vibration problem
• Analysis of a Nonlinear First-Order System with a White Noise Input
• Exact Stationary Response Solution for Second Order Nonlinear Systems Under Parametric and External White Noise Excitations: Part II
• Exact Stationary-Response Solution for Second Order Nonlinear Systems Under Parametric and External White-Noise Excitations
• Analysis of nonlinear stochastic systems by means of the Fokker–Planck equation†

This page was built for publication: Exact and approximate response of non-linear stochastic systems