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Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms

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Abstract

Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms are studied. Under the infinitesimal transformations of group, the conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms are studied. A necessary and sufficient condition of which the conformal invariance for the system is also Mei symmetry is present. Then the expression of Mei conserved quantity for the system is given. Finally, an example is given to illustrate the application of the result.

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Author information

Authors and Affiliations

  1. Electric and Information Engineering College, Pingdingshan University, Pingdingshan, 467002, People’s Republic of China

    Fang Zhang, Yaoyu Zhang & Xichang Xue

  2. School of Mathematics and Physics, Henan University of Urban Construction, Pingdingshan, 467036, People’s Republic of China

    Wei Li

  3. School of Science, Jiangnan University, Wuxi, 214122, People’s Republic of China

    Liqun Jia

Authors
  1. Fang Zhang
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  2. Wei Li
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  3. Yaoyu Zhang
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  4. Xichang Xue
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  5. Liqun Jia
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Correspondence to Liqun Jia.

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 11142014).

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Zhang, F., Li, W., Zhang, Y. et al. Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms. Nonlinear Dyn 84, 1909–1913 (2016). https://doi.org/10.1007/s11071-016-2615-6

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  • DOI: https://doi.org/10.1007/s11071-016-2615-6

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