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Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems

Dong Wen-Shan Huang Bao-Xin

Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems

Dong Wen-Shan, Huang Bao-Xin
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Publishing process
  • Received Date:  26 October 2008
  • Accepted Date:  24 March 2009
  • Published Online:  15 January 2010

Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems

  • 1. 潍坊学院物理与电子科学系,潍坊 261061

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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