Gauss White Noise Perturbations of Nonholonomic Mechanical Systems

Shen Ze-chun; Liu Feng-li

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Shen Ze-chun, Liu Feng-li. Gauss White Noise Perturbations of Nonholonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1993, 14(10): 895-902.

Citation:

Shen Ze-chun, Liu Feng-li. Gauss White Noise Perturbations of Nonholonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1993, 14(10): 895-902.

Citation:

Shen Ze-chun, Liu Feng-li. Gauss White Noise Perturbations of Nonholonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1993, 14(10): 895-902.

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Gauss White Noise Perturbations of Nonholonomic Mechanical Systems

Shen Ze-chun¹,
Liu Feng-li²

1.
Engineering College of Anshan Iron & Steel Company, Anshan;
2.
Department of Mathematics, Liaoning University, Shenyang

Received Date: 1992-06-15
Publish Date: 1993-10-15

Abstract

Abstract

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 ε²-terms but no ε-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.
- nonholonomic systems,
- white noises,
- random differential equations

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References(4)

References

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[2]	Soong,T.T.,Random Differential Equations in Science and Engineering,Academic Press,New York(1973).
[3]	Пугаев В.С.и И.Н.Синицын,Сmoxacmuчecкue Дuффepeнчuaлaлъные Сucmcuы,Наука,Москва(1985)
[4]	梅凤翔,《非完整系统力学基础》,北京工业学院出版社(1985).