Existence of periodic orbits for sectional Anosov flows
Dynamical Systems
2014-07-15 v1
Abstract
We prove that every sectional Anosov flow (or, equivalently, every sectional-hyperbolic attracting set of a flow) on a compact manifold has a periodic orbit. This extends the previous three-dimensional result obtained in [Existence of periodic orbits for singular-hyperbolic sets].
Keywords
Cite
@article{arxiv.1407.3471,
title = {Existence of periodic orbits for sectional Anosov flows},
author = {A. M. López},
journal= {arXiv preprint arXiv:1407.3471},
year = {2014}
}