Monotone Dynamical Systems with Polyhedral Order Cones and Dense Periodic Points
Dynamical Systems
2016-11-29 v1
Abstract
Let X be a subset of R^n whose interior is connected and dense in X, ordered by a polyhedral cone in R^n with nonempty interior. Let T be a monotone homeomorphism of X whose periodic points are dense. Then T is periodic.
Cite
@article{arxiv.1611.09251,
title = {Monotone Dynamical Systems with Polyhedral Order Cones and Dense Periodic Points},
author = {Morris W. Hirsch},
journal= {arXiv preprint arXiv:1611.09251},
year = {2016}
}
Comments
Presented at AIDS Conference on Dynamical Systems and Differential Equations, July 2016