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Periodic Solutions for Some Second Order Hamiltonian Systems
Second order Hamiltonian systems Periodic solutions Saddle point theorems
2011/9/25
We use saddle point theorems of Benci-Rabinowitz and Silva to study the existence of periodic solutions with a fixed energy for a few second order Hamiltonian conservative systems without any symmetry...
New Periodic Solutions for Planar 5–Body and 7-Body Problems
5-body and 7-body problems winding numbers variational minimizers
2011/9/25
For planar Newtonian N + 2-body (N=3,5)problems with some mass ratios, we prove the existence of new non-collision periodic solutions such that N bodies with equal masses move on one loop and the othe...