Mixing properties of set-valued maps on hyperspaces via Furstenberg families

Heman Fu and Zhitao Xing

Chaos, Solitons & Fractals, 2012, vol. 45, issue 4, 439-443

Abstract: Let X be a metric space and f be a continuous self-map of X. On K(X), the set of all nonempty compact subsets of X, f induces a continuous map f¯ naturally by letting f¯(K)=f(K) for K∈K(X). In this paper Furstenberg families are heavily used to investigate the relationships between mixing properties of f and those of f¯. Consequently, several general conclusions are developed, which extent the results of Banks [Chaos for induced hyperspace maps, Chaos Solitons & Fractals 2005; 25(3):681–685.], Kwietniak and Oprocha [Topological entropy and chaos for induced hyperspace maps, Chaos Solitons & Fractals 2007; 33:76–86.].

Date: 2012
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077912000197
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:45:y:2012:i:4:p:439-443

DOI: 10.1016/j.chaos.2012.01.003

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. ().