中国物理B ›› 2007, Vol. 16 ›› Issue (10): 2841-2844.doi: 10.1088/1009-1963/16/10/002

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Unified symmetry of non-holonomic singular systems

李元成, 王 静, 夏丽莉, 后其宝, 荆宏星   

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061 China
  • 出版日期:2007-10-08 发布日期:2007-10-08

Unified symmetry of non-holonomic singular systems

Li Yuan-Cheng(李元成), Wang Jing(王静), Xia Li-Li (夏丽莉), Hou Qi-Bao(后其宝), and Jing Hong-Xing(荆宏星)   

  1. College of Physics Science and Technology, China University of Petroleum, Dongying 257061 China
  • Online:2007-10-08 Published:2007-10-08

Abstract: In this paper, the unified symmetry of non-holonomic singular systems is studied. The differential equations of motion of the systems are given. The definition and the criterion of the unified symmetry for the systems are presented. The Noether conserved quantity the Hojman conserved quantity and the Mei conserved quantity are obtained. An example is given to illustrate the application of the results.

Key words: singular system, non-holonomic constraint, unified symmetry, conserved quantity

中图分类号:  (Partial differential equations)

  • 02.30.Jr