Perturbation to Mei symmetry and Mei adiabatic invariants for mechanical systems in phase space  

作　　者：张明江 方建会 张小妮 路凯 

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

出　　处：《Chinese Physics B》2008年第6期1957-1961,共5页中国物理B（英文版）

摘　　要：For a perturbed mechanical system in phase space, considering d/dt in the structure equation and process of proof including infinitesimal parameter ε obviously, this paper studies the perturbation to Mei symmetry and adiabatic invariants. Firstly, the exact invariant induced directly from the Mei symmetry of the system without perturbation is given. Secondly, based on the concept of high-order adiabatic invariant, the determining equations of the perturbation to Mei symmetry are established, the condition of existence of the Mei adiabatic invariant led by the perturbation to Mei symmetry is obtained, and its form is presented. Lastly, an example is given to illustrate the application of the results.For a perturbed mechanical system in phase space, considering d/dt in the structure equation and process of proof including infinitesimal parameter ε obviously, this paper studies the perturbation to Mei symmetry and adiabatic invariants. Firstly, the exact invariant induced directly from the Mei symmetry of the system without perturbation is given. Secondly, based on the concept of high-order adiabatic invariant, the determining equations of the perturbation to Mei symmetry are established, the condition of existence of the Mei adiabatic invariant led by the perturbation to Mei symmetry is obtained, and its form is presented. Lastly, an example is given to illustrate the application of the results.

关 键 词：Mei symmetry PERTURBATION adiabatic invariant mechanical system 

分 类 号：O316[理学—一般力学与力学基础]