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Lie-Form Invariance of a Type of Non-holonomic Singular Systems
Authors:WANG Jing  LI Yuan-Cheng  HOU Qi-Bao  XIA Li-Li  
Affiliation:College of Physical Science and Technology, China University ofPetroleum, Dongying 257061, China
Abstract:In this paper, the Lie-form invariance of a type of non-holonomic singular systems is studied. The differential equations of motion of the systems are given. The definition and the criterions of the Lie-form invariance for the systems are presented. The Hojman conserved quantity and the Mei conserved quantity are obtained. An example is given to illustrate the application of the results.
Keywords:non-holonomic constraint   singular system   symmetry   conserved quantity
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