Monotone local flows with dense periodic orbits
Dynamical Systems
2018-06-27 v2
Abstract
Let X be a connected open set in n-dimensional Euclidean space, partially ordered by a closed convex cone K with nonempty interior: y > x if and only if y-x is nonzero and in K. Theorem: If F is a monotone local flow in X whose periodic points are dense in X, then F is globally periodic.
Cite
@article{arxiv.1805.09668,
title = {Monotone local flows with dense periodic orbits},
author = {Morris W. Hirsch},
journal= {arXiv preprint arXiv:1805.09668},
year = {2018}
}
Comments
Incorrect proof of main theorem