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

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

中国物理B ›› 2011, Vol. 20 ›› Issue (5): 54501-054501.doi: 10.1088/1674-1056/20/5/054501

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇下一篇

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

张克军, 方建会, 李燕

College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China

收稿日期:2010-09-13 修回日期:2010-10-21 出版日期:2011-05-15 发布日期:2011-05-15
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 09CX04018A).

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

Zhang Ke-Jun(张克军), Fang Jian-Hui(方建会)^†, and Li Yan(李燕)

College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China

Received:2010-09-13 Revised:2010-10-21 Online:2011-05-15 Published:2011-05-15
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 09CX04018A).

摘要/Abstract

摘要： 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.

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.

Key words: discrete generalized Birkhoffian system, Mei symmetry, perturbation, Mei adiabatic invariant

中图分类号: (General theory of classical mechanics of discrete systems)

45.05.+x

02.20.Sv (Lie algebras of Lie groups)

张克军, 方建会, 李燕. Perturbation to Mei symmetry and Mei adiabatic invariants for discrete generalized Birkhoffian system[J]. 中国物理B, 2011, 20(5): 54501-054501.

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[J]. Chin. Phys. B, 2011, 20(5): 54501-054501.

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

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

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