NONCOLLISION PERIODIC SOLUTIONS TO SOME SINGULAR DYNAMICAL SYSTEMS WITH VERY WEAK FORCES
NONCOLLISION PERIODIC SOLUTIONS TO SOME SINGULAR DYNAMICAL SYSTEMS WITH VERY WEAK FORCES
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DOI：
10.1006/jdeq.1995.1069
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发表时间：
1995-05
影响因子：
2.4
通讯作者：
M. Ramos;S. Terracini
中科院分区：
文献类型：
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作者：
M. Ramos;S. Terracini
摘要 我们证明了开普勒问题所有周期解集合的一种双重变分特征。对于具有开普勒型势的自治二阶微分系统，我们给出了存在具有给定周期或能量的周期解的一个充分条件。证明基于环绕论证。
Abstract We prove a double variational characterization of the set of all the periodic solutions of the Kepler problem. We provide a sufficient condition for the existence of a periodic solution with prescribed period or energy for autonomous second-order differential systems with Keplerian-type potentials. The proofs are based on linking arguments.