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Perturbation to Lie-Mei Symmetry and Adiabatic Invariants for Birkhoffian Systems
Authors:ZHANG Ming-Jiang  FANG Jian-Hui  LU Kai  PANG Ting  LIN Peng
Affiliation:College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
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.
Keywords:Lie-Mei symmetry   perturbation   adiabatic invariant  
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