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物理学报  2010 

Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems
广义非完整力学系统的Lie对称性与Noether守恒量

Keywords: generalized nonholonomic mechanics,Lie symmetries,conserved quantity
广义非完整力学,
,Lie对称性,,守恒量

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Abstract:

In this paper we study the Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems,and establish the determining equations,the restriction equations and the additional restriction equations. The structure equation and the form of Noether conserved quantities are obtained. The inverse problems of Lie symmetries are discussed and an example to illustrate the application of the result is given.

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