Gauss white noise perturbations of nonholonomic mechanical systems
type: Item
instance of: scholarly article
title: Gauss white noise perturbations of nonholonomic mechanical systems
zbMATH Open document ID: 0782.70023
DOI: 10.1007/BF02451708
author: Zechun Shen
author: Fengli Liu
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1994-03-13T00:00:00Z
review text: The perturbations of nonholonomic mechanical systems under the Gauss white noises are studied. It is proved that the differential equations of the first-order moments of the solution process coincide with the corresponding equations in the non-perturbed case, and that there are \(\varepsilon^ 2\)-terms but no \(\varepsilon\)-terms in the differential equations of the second-order moments. An example is given to illustrate the application of the results.
Mathematics Subject Classification ID: 70L05
Mathematics Subject Classification ID: 70F25
zbMATH DE Number: 482191
zbMATH Keywords: random differential equations
zbMATH Keywords: differential equations of the first-order moments
zbMATH Keywords: differential equations of the second-order moments
MaRDI profile type: Publication
cites work: Random differential equations in science and engineering
description: scientific article; zbMATH DE number 482191