Perturbation to Lie-Mei Symmetry and Adiabatic Invariants for Birkhoffian Systems |
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| Authors: | ZHANG Ming-Jiang FANG Jian-Hui LU Kai PANG Ting LIN Peng |
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| Affiliation: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
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| Abstract: | Based on the concept of adiabatic invariant, the perturbation to Lie-Mei symmetry and adiabatic invariants for Birkhoffian systems are studied. The definition of the perturbation to Lie-Mei symmetry for the system is presented, and the criterion of the perturbation to Lie-Mei symmetry is given. Meanwhile, the Hojman adiabatic invariants and the Mei adiabatic invariants for the perturbed system are obtained. |
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| Keywords: | Lie-Mei symmetry perturbation adiabatic invariant |
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