Existence of Hyperbolic Orbits for N-body Type Problems
Mathematical Physics
2012-09-25 v1 math.MP
Abstract
In this paper, we use variational minimizing method to prove the existence of hyperbolic solution with a prescribed positive energy for N-body type problems with strong forces. Firstly, we get periodic solutions using suitable constraints, then by taking limit about a sequence of periodic solutions, we get the hyperbolic orbits.
Keywords
Cite
@article{arxiv.1209.5186,
title = {Existence of Hyperbolic Orbits for N-body Type Problems},
author = {Donglun Wu and Shiqing Zhang},
journal= {arXiv preprint arXiv:1209.5186},
year = {2012}
}