On totally periodic ω-limit sets in regular continua

Ghassen Askri and Issam Naghmouchi

Chaos, Solitons & Fractals, 2015, vol. 75, issue C, 91-95

Abstract: Let f be a continuous self-mapping of a compact metric space X, an ω-limit set of f is said to be totally periodic if it is composed of periodic points. We prove that a totally periodic ω-limit set of one-to-one continuous self mapping of regular continuum is finite. In the other hand, we built a continuous self-mapping (not one-to-one) of a dendrite having a totally periodic ω-limit set with unbounded periods.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:75:y:2015:i:c:p:91-95

DOI: 10.1016/j.chaos.2015.02.007

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