Perturbation to Mei Symmetry and Generalized Mei Adiabatic Invariants for Birkhoffian Systems |
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| Authors: | Ming-Jiang Zhang Jian-Hui Fang Kai Lu |
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| Affiliation: | 1.College of Physics Science and Technology,China University of Petroleum,Dongying,People’s Republic of China |
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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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