安徽大学学报（自然科学版）2011，Vol.35Issue(6)：30-34,5.
Hénon-Heiles系统的Noether对称性与Noether守恒量
Noether symmetry and the Noether conserved quantity of the Hénon-Heiles system
摘要
Abstract
The research on the Noether symmetry and its conserved quantity for dynamics system is a relatively new direction of development in modern mathematical physics, and can be applied to quantum mechanics, mechanics of space flight and some fields in modern engineering science. In this paper, the Noether symmetry and the Noether conserved quantities of the H6non-Heiles system were studied. The determining equations of Noether symmetry for the system had been got. The Noether symmetry definition and criterion of Henon-Heiles system were given. A theorem asserting that the Noether symmetry for the system leads to the several conserved quantity was presented.关键词
动力学系统/H6non-Heiles方程/Noether对称性/守恒量Key words
dynamic system/ Henon-Heiles system/ Noether symmetry/ conserved quantity分类
数理科学引用本文复制引用
顾书龙..Hénon-Heiles系统的Noether对称性与Noether守恒量[J].安徽大学学报（自然科学版）,2011,35(6):30-34,5.基金项目
国家自然科学基金资助项目(10872037) （10872037）
