Homoclinic intersections for geodesic flows on convex spheres
Dynamical Systems
2021-05-25 v2
Abstract
In this paper we study some generic properties of the geodesic flows on a convex sphere. We prove that, generically (), every hyperbolic closed geodesic admits some transversal homoclinic orbits.
Cite
@article{arxiv.1601.07079,
title = {Homoclinic intersections for geodesic flows on convex spheres},
author = {Zhihong Xia and Pengfei Zhang},
journal= {arXiv preprint arXiv:1601.07079},
year = {2021}
}