中国物理B ›› 2006, Vol. 15 ›› Issue (3): 467-469.doi: 10.1088/1009-1963/15/3/001

• GENERAL •    下一篇

Lie-form invariance of nonholonomic mechanical systems

夏丽莉, 王静, 后其宝, 李元成   

  1. College of Physics Science and Technology, China University of Petroleum,Dongying 257061, China
  • 收稿日期:2005-10-18 修回日期:2005-11-04 出版日期:2006-03-20 发布日期:2006-03-20

Lie-form invariance of nonholonomic mechanical systems

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

  1. College of Physics Science and Technology, China University of Petroleum,Dongying 257061, China
  • Received:2005-10-18 Revised:2005-11-04 Online:2006-03-20 Published:2006-03-20

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摘要： The Lie-form invariance of a nonholonomic mechanical system is studied. The definition and criterion of the Lie-form invariance of the nonholonomic mechanical system are given. The Hojman conserved quantity and a new type of conserved quantity are obtained from the Lie-form invariance. An example is given to illustrate the application of the results.

Abstract: The Lie-form invariance of a nonholonomic mechanical system is studied. The definition and criterion of the Lie-form invariance of the nonholonomic mechanical system are given. The Hojman conserved quantity and a new type of conserved quantity are obtained from the Lie-form invariance. An example is given to illustrate the application of the results.

Key words: nonholonomic mechanical systems, the Lie-form invariance, conserved quantity

中图分类号:  (Lagrangian and Hamiltonian mechanics)

  • 45.20.Jj
02.20.Sv (Lie algebras of Lie groups)