GAUSS WHITE NOISE PERTURBATIONS OF NONHOLONOMIC MECHANICAL SYSTEMS  

作　　者：申泽淳 刘风丽 

机构地区：[1]Engineering College of Anshan Iron and Steel Company,.Anshan [2]Department of Mathematics, Liaoning University, Shengyang

出　　处：《Applied Mathematics and Mechanics(English Edition)》1993年第10期945-952,共8页应用数学和力学（英文版）

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 are e2 -terms but no e-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.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 are e2 -terms but no e-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.

关 键 词：nonholonomic systems white noises random differential equations 

分 类 号：O3，O1[理学—力学]