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 firstorder 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.
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References
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Mei Feng-xiang,Fundamentals of Mechanics for Nonholonomic Systems, Press of Pekjing Inst. of Industry (1985). (in Chinese)
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Communicated by Zhu Zhao-xuan
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Ze-chun, S., Feng-li, L. Gauss white noise perturbations of nonholonomic mechanical systems. Appl Math Mech 14, 945–952 (1993). https://doi.org/10.1007/BF02451708
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DOI: https://doi.org/10.1007/BF02451708