Lie-form invariance of nonholonomic mechanical systems

doi:10.1088/1009-1963/15/3/001

Abstract

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.

Keywords: nonholonomic mechanical systems the Lie-form invariance conserved quantity

Received: 18 October 2005
Revised: 04 November 2005
Accepted manuscript online:

PACS:	45.20.Jj	(Lagrangian and Hamiltonian mechanics)
	02.20.Sv	(Lie algebras of Lie groups)

Cite this article:

Xia Li-Li (夏丽莉), Wang Jing (王静), Hou Qi-Bao (后其宝), Li Yuan-Cheng (李元成) Lie-form invariance of nonholonomic mechanical systems 2006 Chinese Physics 15 467

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