Lemmens, Bas, van Gaans, Onno, Van Imhoff, Hent (2018) Monotone dynamical systems with dense periodic points. Journal of Differential Equations, 265 (11). pp. 5709-5715. ISSN 0022-0396. (doi:10.1016/j.jde.2018.07.012) (KAR id:65574)
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| Official URL: http://doi.org/10.1016/j.jde.2018.07.012 |
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Abstract
n this paper we prove a recent conjecture by M. Hirsch, which says that if is a discrete time monotone dynamical system, with a homeomorphism on an open connected subset of a finite dimensional vector space, and the periodic points of f are dense in ?, then f is periodic.
| Item Type: | Article |
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| DOI/Identification number: | 10.1016/j.jde.2018.07.012 |
| Uncontrolled keywords: | Chaos Dense periodic points; Monotone dynamical systems |
| Subjects: | Q Science |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Bas Lemmens |
| Date Deposited: | 26 Dec 2017 09:37 UTC |
| Last Modified: | 05 Nov 2024 11:03 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/65574 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Lemmens, Bas.
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 https://orcid.org/0000-0001-6713-7683
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