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Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms

Sun Xian-Ting Zhang Yao-Yu Xue Xi-Chang Jia Li-Qun

Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms

Sun Xian-Ting, Zhang Yao-Yu, Xue Xi-Chang, Jia Li-Qun
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  • Received Date:  14 September 2014
  • Accepted Date:  16 October 2014
  • Published Online:  20 March 2015

Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms

  • 1. School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China;
  • 2. School of Science, Jiangnan University, Wuxi 214122, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 11142014).

Abstract: Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms are studied. By introducing infinitesimal transformation group and its infinitesimal transformation vector of generators, the definition and determining equations of the Mei symmetry for generalized Hamilton systems after adding additional terms are provided. By means of the structure equation satisfied by the gauge function, the Mei conserved quantity corresponding to the form invariance for the system is derived. Finally an illustrative example is given to verify the results.

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