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Chin. Phys. B, 2012, Vol. 21(7): 070204    DOI: 10.1088/1674-1056/21/7/070204
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Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system

Jia Li-Qun, Zhang Mei-Ling, Wang Xiao-Xiao, Han Yue-Lin
School of Science, Jiangnan University, Wuxi 214122, China
Abstract  A weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The form invariance and the approximate conserved quantity of the Appell equations for a weakly nonholonomic system are studied. The Appell equations for the weakly nonholonomic system are established, and the definition and the criterion of form invariance of the system are given. The structure equation of form invariance for the weakly nonholonomic system and the approximate conserved quantity deduced from the form invariance of the system are obtained. Finally, an example is given to illustrate the application of the results.
Keywords:  weakly nonholonomic system      Appell equations      form invariance      approximate conserved quantity  
Received:  26 November 2011      Revised:  22 December 2011      Published:  01 June 2012
PACS:  02.20.Sv (Lie algebras of Lie groups)  
  11.30.-j (Symmetry and conservation laws)  
  45.20.Jj (Lagrangian and Hamiltonian mechanics)  
  03.50.-z (Classical field theories)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11142014 and 61178032).
Corresponding Authors:  Jia Li-Qun     E-mail:  jlq0000@163.com

Cite this article: 

Jia Li-Qun, Zhang Mei-Ling, Wang Xiao-Xiao, Han Yue-Lin Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system 2012 Chin. Phys. B 21 070204

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