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.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
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)
