H·non-Heiles系统的Noether对称性与Hojman守恒量  

Noether Symmetry and the Hojman Conserved Quantity of the the H·non-Heiles System

作　　者：顾书龙[1] 

机构地区：[1]南京晓庄学院物理与电子工程学院,江苏南京211171

出　　处：《安徽师范大学学报（自然科学版）》2012年第4期332-334,共3页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金项目(10872037)

摘　　要：研究了Hénon-Heiles系统的动力学方程在群的无限小变换下的Noether对称性、Lie对称性与Hojman守恒量.给出系统的运动微分方程和Noether对称性、Lie对称性确定方程,并由其对称性导致Hojman守恒量.In this paper, the Noether symmetry , Lie symmetry and the Hojman conserved quantities of the Henon-Heiles system was studied. The determining equations of Noether symmetry and Lie symmetry for the system were given. A theorem asserting that the Noether symmetry and the Lie symmetry for the system leads to the Hojman conserved quantity was presented.

关 键 词：H·non-Heiles系统 NOETHER对称性 LIE对称性 HOJMAN守恒量 

分 类 号：O313[理学—一般力学与力学基础]