Homoclinic orbits and entropy for three-dimensional flows
Dynamical Systems
2015-09-28 v1
Abstract
We prove that every three-dimensional flow with positive topological entropy can be approximated by flows with homoclinic orbits. This extends a previous result for surface diffeomorphisms \cite{g}.
Cite
@article{arxiv.1509.07770,
title = {Homoclinic orbits and entropy for three-dimensional flows},
author = {A. M. Lopez and R. J. Metzger and C. A. Morales},
journal= {arXiv preprint arXiv:1509.07770},
year = {2015}
}
Comments
5 pages