Monotone dynamical systems with dense periodic points

Autor:	Lemmens, Bas, van Gaans, Onno, van Imhoff, Hent
Rok vydání:	2017
Předmět:	Mathematics - Dynamical Systems Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	In this paper we prove a recent conjecture by M. Hirsch, which says that if $(f,\Omega)$ is a discrete time monotone dynamical system, with $f\colon \Omega\to\Omega$ a homeomorphism on an open connected subset of a finite dimensional vector space, and the periodic points of $f$ are dense in $\Omega$, then $f$ is periodic. Comment: 5 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.09223 Zobrazit plný text záznamu View this record from Arxiv