Birkhoff系统的Mei对称性与动力学逆问题  

Mei Symmetry and Inverse Problem in Dynamics of a Birkhoffian System

作　　者：周燕[1] 张毅[1] 

机构地区：[1]苏州科技学院数理学院,江苏苏州215011

出　　处：《广西师范学院学报（自然科学版）》2011年第4期39-45,共7页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：国家自然科学基金(10972151);江苏省普通高校研究生科研创新计划(CXZZ11-0949);苏州科技学院研究生科研创新计划(SKCX11S-050)资助项目

摘　　要：研究Birkhoff系统Mei对称性的动力学逆问题的提法和解法.首先列出Birkhoff系统的Mei对称性的确定方程、结构方程以及Mei对称性导致的Mei守恒量.其次,给出Birkhoff系统Mei对称性逆问题的两种提法和相应的解法,并举例说明结果的应用.The Mei symmetries and inverse problems in dynamics of a Birkhoffian system are studied.First,the determining equation and structure equation of Mei symmetry and the Mei conserved quantity which is led by the Mei symmetry are given;next,two formulations and their corresponding solutions of the inverse problem for Mei symmetry of the Birkhoffian system are established,and two examples are given to illustrate the application of the results.

关 键 词：BIRKHOFF系统 MEI对称性 逆问题 

分 类 号：O316[理学—一般力学与力学基础]