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物理学报 2010
Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems
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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.