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Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type |
Wu Hui-Bin(吴惠彬)† and Mei Feng-Xiang(梅凤翔) |
Faculty of Science, Beijing Institute of Technology, Beijing 100081, China |
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Abstract This paper studies the symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type. First, the definition and the criterion of the symmetry of the system are given. Secondly, it obtains the condition under which there exists a conserved quantity and the form of the conserved quantity. Finally, an example is shown to illustrate the application of the result.
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Received: 17 April 2009
Revised: 09 May 2009
Accepted manuscript online:
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PACS:
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45.20.Jj
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(Lagrangian and Hamiltonian mechanics)
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02.30.Jr
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(Partial differential equations)
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Fund: Project
supported by the National Natural Science Foundation of China (Grant
Nos.~10932002 and 10772025), and the Fund for Fundamental Research
of Beijing Institute of Technology. |
Cite this article:
Wu Hui-Bin(吴惠彬) and Mei Feng-Xiang(梅凤翔) Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type 2010 Chin. Phys. B 19 030303
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