Morse-Smale systems and horseshoes for three dimensional singular flows
Dynamical Systems
2013-02-06 v1
Abstract
We prove that for every three-dimensional vector field, either it can be accumulated by Morse-Smale ones, or it can be accumulated by ones with a transverse homoclinic intersection of some hyperbolic periodic orbit in the topology.
Cite
@article{arxiv.1302.0946,
title = {Morse-Smale systems and horseshoes for three dimensional singular flows},
author = {Shaobo Gan and Dawei Yang},
journal= {arXiv preprint arXiv:1302.0946},
year = {2013}
}