Noether's theory of generalized linear nonholonomic mechanical systems

doi:10.1088/1674-1056/20/1/010204

Abstract By introducing the quasi-symmetry of the infinitesimal transformation of the transformation group G_r, the Noether's theorem and the Noether's inverse theorem for generalized linear nonholonomic mechanical systems are obtained in a generalized compound derivative space. An example is given to illustrate the application of the result.

Keywords: generalized linear nonholonomic mechanics symmetry conserved quantity Noether's theory

Received: 07 December 2009
Revised: 28 June 2010
Accepted manuscript online:

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	11.30.-j	(Symmetry and conservation laws)
	45.05.+x	(General theory of classical mechanics of discrete systems)

Fund: Project supported by the Natural Science Foundation of Weifang University, China (Grant No. 2008Z03).

Cite this article:

Dong Wen-Shan(董文山) Huang Bao-Xin(黄宝歆), and Fang Jian-Hui(方建会) Noether's theory of generalized linear nonholonomic mechanical systems 2011 Chin. Phys. B 20 010204

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