2017/12/26 by Lemmens, Bas, van Gaans, Onno, van Imhoff, Hent
#Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.1712.09223
In this paper we prove a recent conjecture by M. Hirsch, which says that if (f,Ω) is a discrete time monotone dynamical system, with f\colon Ω→Ω a homeomorphism on an open connected subset of a finite dimensional vector space, and the periodic points of f are dense in Ω, then f is periodic.