论文标题
封闭的稳定轨道在强烈耦合的谐振wilberforce pendulum中
Closed stable orbits in a strongly coupled resonant Wilberforce pendulum
论文作者
论文摘要
我们通过使用几何奇异的象征性降低技术与更古典的Moser平均方法相结合的技术,证明了强烈耦合的Wilberforce Pendulum中封闭稳定轨道的存在。
We prove the existence of closed stable orbits in a strongly coupled Wilberforce pendulum, for the case of a $1:2$ resonance, by using techniques of geometric singular symplectic reduction combined with the more classical averaging method of Moser.