Perturbation to Noether-Lie Symmetry and Adiabatic Invariants forMechanical Systems in Phase Space |
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| Authors: | ZHANG Ming-Jiang FANG Jian-Hui LU Kai |
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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 toNoether-Lie symmetry and adiabatic invariants for mechanicalsystems in phase space are studied. The criterion of the Noether-Liesymmetry for the perturbed system is given, and the definition ofthe perturbation to Noether-Lie symmetry for the system underthe action of small disturbance is presented. Meanwhile, theNoether adiabatic invariants and the generalized Hojman adiabaticinvariants of the perturbed system are obtained. |
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| Keywords: | Noether-Lie symmetry perturbation adiabatic invariant mechanical system phase space |
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