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Chin. Phys. B, 2008, Vol. 17(5): 1545-1549    DOI: 10.1088/1674-1056/17/5/002
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Unified symmetry of mechano-electrical systems with nonholonomic constraints

Li Yuan-Cheng(李元成), Xia Li-Li(夏丽莉), Liu Bing(刘冰), Jiao Zhi-Yong(焦志勇), and Wang Xiao-Ming(王小明)
College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
Abstract  The unified symmetry of mechano-electrical systems with nonholonomic constraints are studied in this paper, the definition and the criterion of unified symmetry of mechano-electrical systems with nonholonomic constraints are derived from the Lagrange--Maxwell equations. The Noether conserved quantity, Hojman conserved quantity and Mei conserved quantity are then deduced from the unified symmetry. An example is given to illustrate the application of the results.
Keywords:  nonholonomic constraints      mechano-electrical systems      unified symmetry      conserved quantity  
Received:  13 January 2007      Revised:  20 June 2007      Accepted manuscript online: 
PACS:  45.05.+x (General theory of classical mechanics of discrete systems)  

Cite this article: 

Li Yuan-Cheng(李元成), Xia Li-Li(夏丽莉), Liu Bing(刘冰), Jiao Zhi-Yong(焦志勇), and Wang Xiao-Ming(王小明) Unified symmetry of mechano-electrical systems with nonholonomic constraints 2008 Chin. Phys. B 17 1545

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