GAUSS WHITE NOISE PERTURBATIONS OF NONHOLONOMIC MECHANICAL SYSTEMS

被引：0

作者：

申泽淳

刘风丽

机构：

[1] Department of Mathematics

[2] .Anshan

[3] Shengyang

[4] Liaoning University

[5] Engineering College of Anshan Iron and Steel Company

来源：

Applied Mathematics and Mechanics(English Edition) | 1993年 / 10期

关键词：

nonholonomic systems; white noises; random differential equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The perturbations of nonholonomic mechanical systems under the Gauss white noises are studied in this paper.It is proved that the differential equations of the first-order moments of the solution process coincide with the corresponding equations in the non-perturbational case,and that there areε~2-terms but noε-terms in the differential equations of the second-order moments.Two propositions are obtained.Finally,an example is given to illustrate the application of the results.

引用

页码：945 / 952

页数：8

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