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Perturbation and Adiabatic Invariants of Mei Symmetry for Nonholonomic Mechanical Systems
Authors:DING Ning  FANG Jian-Hui  WANG Peng  
Affiliation:College of Physical Science and Technology, China Universityof Petroleum, Dongying 257061, China
Abstract:Based on the concept of adiabatic invariant, the perturbation and adiabatic invariants of the Mei symmetry for nonholonomic mechanical systems are studied. The exact invariants of the Mei symmetry for the system without perturbation are given. The perturbation to the Mei symmetry is discussed and the adiabatic invariants of the Mei symmetry for the perturbed system are obtained.
Keywords:Mei symmetry   perturbation   adiabatic invariant   nonholonomic mechanical system
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