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Perturbation to Mei Symmetry and Generalized Mei Adiabatic Invariants for Birkhoffian Systems

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Abstract

This paper investigates the perturbation to Mei symmetry for Birkhoffian systems. The criterion equation of the perturbation to Mei symmetry is established. The condition for existence of generalized Mei adiabatic invariant induced directly from the perturbation to Mei symmetry is obtained, and its form is presented. Finally, an example is discussed to further illustrate the application of the results.

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Authors and Affiliations

  1. College of Physics Science and Technology, China University of Petroleum, Dongying, 257061, People’s Republic of China

    Ming-Jiang Zhang, Jian-Hui Fang & Kai Lu

Authors
  1. Ming-Jiang Zhang
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  2. Jian-Hui Fang
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  3. Kai Lu
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Corresponding author

Correspondence to Ming-Jiang Zhang.

Additional information

Project supported by the Graduate Students’ Innovative Foundation of China University of Petroleum (East China) under Grant No. S2009-19.

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Zhang, MJ., Fang, JH. & Lu, K. Perturbation to Mei Symmetry and Generalized Mei Adiabatic Invariants for Birkhoffian Systems. Int J Theor Phys 49, 427–437 (2010). https://doi.org/10.1007/s10773-009-0212-x

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  • DOI: https://doi.org/10.1007/s10773-009-0212-x

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