一般离散完整系统Mei对称性的精确不变量与绝热不变量  

EXACT INVARIANTS AND ADIABATIC INVARIANTS OF GENERAL DISCRETE HOLONOMIC SYSTEMS

作　　者：张克军[1] 方建会[1] 李燕[1] 张斌[1] 

机构地区：[1]中国石油大学物理科学与技术学院,东营257061

出　　处：《动力学与控制学报》2010年第4期311-315,共5页Journal of Dynamics and Control

基　　金：中央高校基本科研业务费专项资金资助(09CX04018A)~~

摘　　要：研究一般离散完整系统Mei对称性的精确不变量和绝热不变量.给出未受扰动时一般离散完整系统Mei对称性导致的精确不变量,讨论在小扰动作用下系统Mei对称性的摄动,得到一般离散完整系统Mei对称性的摄动导致的一类绝热不变量.最后举例说明结果的应用.This paper studies the Perturbation to Mei symmetry and adiabatic invariants of general discrete holonomic systems. The exact invariants of Mei symmetry for general discrete holonomic systems without perturbation are given. The perturbation to Mei symmetry is discussed under the effect of small quantities and the adiabatic invariants induced from the perturbation to Mei symmetry of end, an example is discussed to show the applications of general discrete holonomic systems are obtained. In the the results.

关 键 词：一般离散完整系统 对称性 精确不变量 绝热不变量 

分 类 号：O316[理学—一般力学与力学基础]