Hénon-Heiles系统的Noether对称性与Hojman守恒量

摘要

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.%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.