English

On the nonchaotic nature of monotone dynamical systems

Dynamical Systems 2019-06-19 v1

Abstract

Two types of dynamics, chaotic and monotone, are compared. It is shown that monotone maps in strongly ordered spaces do not have chaotic attracting sets.

Keywords

Cite

@article{arxiv.1906.07688,
  title  = {On the nonchaotic nature of monotone dynamical systems},
  author = {Morris W. Hirsch},
  journal= {arXiv preprint arXiv:1906.07688},
  year   = {2019}
}