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Chin. Phys. B, 2011, Vol. 20(5): 054501    DOI: 10.1088/1674-1056/20/5/054501
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Perturbation to Mei symmetry and Mei adiabatic invariants for discrete generalized Birkhoffian system

Zhang Ke-Jun, Fang Jian-Hui, Li Yan
College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
Abstract  Based on the concept of discrete adiabatic invariant, this paper studies the perturbation to Mei symmetry and Mei adiabatic invariants of the discrete generalized Birkhoffian system. The discrete Mei exact invariant induced from the Mei symmetry of the system without perturbation is given. The criterion of the perturbation to Mei symmetry is established and the discrete Mei adiabatic invariant induced from the perturbation to Mei symmetry is obtained. Meanwhile, an example is discussed to illustrate the application of the results.
Keywords:  Mei adiabatic invariant      discrete generalized Birkhoffian system      Mei symmetry      perturbation     
Received:  13 September 2010      Published:  15 May 2011
PACS:  45.05.+x (General theory of classical mechanics of discrete systems)  
  02.20.Sv (Lie algebras of Lie groups)  
Fund: Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 09CX04018A).

Cite this article: 

Zhang Ke-Jun, Fang Jian-Hui, Li Yan Perturbation to Mei symmetry and Mei adiabatic invariants for discrete generalized Birkhoffian system 2011 Chin. Phys. B 20 054501

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