Perturbation to Mei symmetry and Mei adiabatic invariants for discrete generalized Birkhoffian system

doi:10.1088/1674-1056/20/5/054501

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: discrete generalized Birkhoffian system Mei symmetry perturbation Mei adiabatic invariant

Received: 13 September 2010
Revised: 21 October 2010
Accepted manuscript online:

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(张克军), Fang Jian-Hui(方建会), and Li Yan(李燕) Perturbation to Mei symmetry and Mei adiabatic invariants for discrete generalized Birkhoffian system 2011 Chin. Phys. B 20 054501

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Perturbation to Mei symmetry and Mei adiabatic invariants for discrete generalized Birkhoffian system

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