摘要
建立了用具有质量的刚杆连接的双摆运动方程 ,并将重力作为扰动 ,利用 KAM定理研究了双摆的运动规律 .当重力能量与总能量相比很小时 ,KAM不变闭曲线的存在表明无重力系统的“总动量”守恒的特点 .
This paper deals with the motions of the double pendulum linked by rigid rods with mass. The KAM theory can be used to describe the motions of the double pendulum if the gravitation is treated as a perturbation. The existence of the KAM invariant closed curves represents that some characters of the 'total generalied momentum' conservation of the gravity free system can be kept when the gravitation energy is small in comparision with the total energy.
出处
《延安大学学报（自然科学版）》
2001年第2期21-24,共4页
Journal of Yan'an University：Natural Science Edition
关键词
双摆
无重力系统
刚杆
等能量面
KAM定理
double pendulum
gravity free system
rigid rod
energy level set
KAM theory
