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Chin. Phys. B, 2008, Vol. 17(5): 1550-1553    DOI: 10.1088/1674-1056/17/5/003
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Perturbation to Mei symmetry and adiabatic invariants for Hamilton systems

Ding Ning(丁宁)a)† and Fang Jian-Hui(方建会)b)
a Department of Physics and Electronics Science,Binzhou University, Binzhou 256603, China; b College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
Abstract  Based on the concept of adiabatic invariant, this paper studies the perturbation to Mei symmetry and adiabatic invariants for Hamilton systems. The exact invariants of Mei symmetry for the system without perturbation are given. The perturbation to Mei symmetry is discussed and the adiabatic invariants induced from the perturbation to Mei symmetry of the system are obtained.
Keywords:  Mei symmetry      perturbation      adiabatic invariant      Hamilton system  
Received:  07 July 2007      Revised:  03 October 2007      Accepted manuscript online: 
PACS:  45.20.Jj (Lagrangian and Hamiltonian mechanics)  
  02.30.Jr (Partial differential equations)  

Cite this article: 

Ding Ning(丁宁) and Fang Jian-Hui(方建会) Perturbation to Mei symmetry and adiabatic invariants for Hamilton systems 2008 Chin. Phys. B 17 1550

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