Birkhoff系统的Noether-Mei对称性与守恒量  

Noether-Mei symmetry and conserved quantity of Birkhoffian system

作　　者：王雪萍[1] 张毅[2] 

机构地区：[1]苏州科技大学数理学院,江苏苏州215009 [2]苏州科技大学土木工程学院,江苏苏州215011

出　　处：《中山大学学报（自然科学版）》2016年第4期53-55,共3页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金资助项目(11272227;11572212);苏州科技大学研究生科研创新计划资助项目(SKCX15_062)

摘　　要：研究Birkhoff系统Noether-Mei对称性与守恒量。给出Birkhoff系统Noether-Mei对称性的定义和判据,研究了Birkhoff系统的Noether-Mei对称性导致的Noether守恒量和Mei守恒量的条件及其形式,建立了两个Noether-Mei对称性定理,并举例说明结果的应用。The Noether-Mei symmetry and the conserved quantity of a Birkhoffian system are studied.The definition and the criteria of the Noether-Mei symmetry of the system are given. The conditions that the Noether-Mei symmetry leads to the Noether conserved quantity or the Mei conserved quantity and the form of the conserved quantities are obtained. Two theorems for the Noether-Mei symmetry and the conserved quantity are established. At the end,an example is given to illustrate the application of the results.

关 键 词：BIRKHOFF系统 Noether-Mei对称性 NOETHER守恒量 MEI守恒量 

分 类 号：O316[理学—一般力学与力学基础]