On Existences Of Periodic Orbits For Hamilton Systems
Symplectic Geometry
2007-05-23 v2 Dynamical Systems
Abstract
We prove that either there exists at least one hamilton periodic orbit in a given energy close smooth hypersurface or there exist at least two hamilton periodic orbits in a near-by energy close smooth hypersurface. More general results also hold.
Cite
@article{arxiv.math/0407073,
title = {On Existences Of Periodic Orbits For Hamilton Systems},
author = {Renyi Ma},
journal= {arXiv preprint arXiv:math/0407073},
year = {2007}
}