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Perturbation to Mei Symmetry and Adiabatic Invariants for Nonholonomic Systems in Terms of Quasi-Coordinates |
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| Authors: | PANG Ting FANG Jian-Hui ZHANG Ming-Jiang LIN Peng LU Kai |
| Institution: | College of Physics Science and Technology, China University of Petroleum,;Dongying 257061, China |
| Abstract: | Based on the concept of adiabatic invariant, the perturbation to Meisymmetry and adiabatic invariants for nonholonomic mechanical systems interms of quasi-coordinates are studied. The definition of the perturbationto Mei symmetry for the system is presented, and the criterion of theperturbation to Mei symmetry is given. Meanwhile, the Mei adiabaticinvariants for the perturbed system are obtained. |
| Keywords: | Mei symmetry perturbation nonholonomic mechanical system quasi-coordinates |
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