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.
出处
《安徽师范大学学报(自然科学版)》
CAS
北大核心
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)