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Infinitely Many Noncollision Periodic Solutions for Planar Keplerian-Like 2-Body Problems
Authors:Zhang Shiqing
Institution:(1) Department of Applied Mathematics, Chongqing University, Chongqing, 400044, P.R. CHINA
Abstract:Using the implicit rotational invariant property for the potential and the variational functional, we prove the existence of infinitely many noncollision periodic solutions for planar Keplerian-like 2-body problems.AMS Mathematics Subject Classification: 34C15, 34C25, 58F, 70F10
Keywords:Noncollision periodic solutions  singular dynamical systems  symmetry
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