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Perturbation to Noether-Mei Symmetry and Adiabatic Invariants for Nonholonomic Mechanical Systems in Phase Space
Authors:ZHANG Ming-Jiang FANG Jian-Hui LU Kai
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 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.
Keywords:Noether-Mei symmetry   perturbation   adiabatic invariant   nonholonomic mechanical system  phase space
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