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Noether's theory of generalized linear nonholonomic mechanical systems |
Dong Wen-Shan(董文山)a) , Huang Bao-Xin(黄宝歆)a), and Fang Jian-Hui(方建会)b) |
a Department of Physics and Electronics Science, University of Weifang, Weifang 261061, China; b Department of Applied Physics, University of Petroleum, Dongying 257061, China |
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Abstract By introducing the quasi-symmetry of the infinitesimal transformation of the transformation group Gr, 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.
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Received: 07 December 2009
Revised: 28 June 2010
Accepted manuscript online:
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PACS:
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02.20.Sv
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(Lie algebras of Lie groups)
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11.30.-j
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(Symmetry and conservation laws)
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45.05.+x
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(General theory of classical mechanics of discrete systems)
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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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