Non-contractible periodic orbits in Hamiltonian dynamics on tori
Symplectic Geometry
2017-08-09 v3 Dynamical Systems
Abstract
We show that the presence of one non-degenerate, non-contractible periodic orbit of a Hamiltonian on the standard symplectic torus implies the existence of infinitely many simple non-contractible periodic orbits.
Keywords
Cite
@article{arxiv.1604.06177,
title = {Non-contractible periodic orbits in Hamiltonian dynamics on tori},
author = {Ryuma Orita},
journal= {arXiv preprint arXiv:1604.06177},
year = {2017}
}
Comments
10 pages, minor revision (v3)