Perturbation to Noether-Mei Symmetry and Adiabatic Invariants for Nonholonomic Mechanical 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 to Noether-Mei symmetry and adiabatic invariants for nonholonomic mechanicalsystems in phase space are studied. The definition of the perturbation to Noether-Mei symmetry for the system is presented, and the criterion of the perturbation to Noether-Mei symmetry is given. Meanwhile, the Noether adiabatic invariants and the Mei adiabatic invariants for the perturbed system are obtained. |
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| Keywords: | Noether-Mei symmetry perturbation adiabatic invariant nonholonomic mechanical system phase space |
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