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

作　　者：张克军 方建会 李燕 

机构地区：[1]College of Physics Science and Technology,China University of Petroleum

出　　处：《Chinese Physics B》2011年第5期305-309,共5页中国物理B（英文版）

基　　金：Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 09CX04018A)

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.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.

关 键 词：discrete generalized Birkhoffian system Mei symmetry PERTURBATION Mei adiabatic in-variant 

分 类 号：O316[理学—一般力学与力学基础] TP271.8[理学—力学]