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物理学报  2003 

Form invariance of Hamilton''s canonical equations of a nonholonomic mechanical s ystem
非完整系统Hamilton正则方程的形式不变性

Keywords: nonholonomic system,Hamilton's canonical equation,form invariance,conserved q uantity
非完整系统,
,Hamilton正则方程,,形式不变性,,守恒量

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Abstract:

In this paper,a form invariance of Hamilton's canonical equations of a nonholonomic mechanical system is studied.First,the definition and criterion of the form invariance in the system under infinitesimal transformations of groups are given .Next,the relation between the form invariance and the conserved quantity of the system is established.Finally,an example is given to illustrate the application of the result.

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