Recurrence and almost periodicity on dendrites

Hafedh Abdelli and Habib Marzougui

Chaos, Solitons & Fractals, 2016, vol. 87, issue C, 17-18

Abstract: Let X be a dendrite. We say that X has the APR-property provided that for each continuous self-mapping f of X, AP(f)¯=R(f)¯, where AP(f) and R(f) are the sets of almost periodic and recurrent points of f respectively. In this note, we prove that X has the APR-property if and only if its set of endpoints is countable.

Keywords: Dendrite; Dendrite map; Periodic; Almost periodic point; Recurrent; ω-limit set; Minimal set (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077916300856
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:87:y:2016:i:c:p:17-18

DOI: 10.1016/j.chaos.2016.03.006

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().