给定能量对称奇异哈米尔顿系统的非碰撞闭轨(英文)

Non-collision Closed Orbits with Fixed Energy for Symmetrical Singular Hamiltonian Systems

在弱力型条件下 ,依据于山路引理、Morse指数及碰撞次数的估计 ,研究了给定能量的对称奇异哈米尔顿系统的非碰撞周期解的存在性。

Under a weak force type condition,we study the existence of non collision periodic solutions with fixed energy for a singular Hamiltonian systems. Our methods depend on the Mountain Pass Lemma and the estimates of Morse index and the number of collisions.