The set of recurrent points of a continuous self-map on compact metric spaces and strong chaos
Lidong Wang ; Gongfu Liao ; Zhizhi Chen ; Xiaodong Duan
Annales Polonici Mathematici, Tome 81 (2003), p. 265-272 / Harvested from The Polish Digital Mathematics Library
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We discuss the existence of an uncountable strongly chaotic set of a continuous self-map on a compact metric space. It is proved that if a continuous self-map on a compact metric space has a regular shift invariant set then it has an uncountable strongly chaotic set in which each point is recurrent, but is not almost periodic.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:280479 
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     title = {The set of recurrent points of a continuous self-map on compact metric spaces and strong chaos},
     journal = {Annales Polonici Mathematici},
     volume = {81},
     year = {2003},
     pages = {265-272},
     zbl = {1053.37018},
     language = {en},
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Lidong Wang; Gongfu Liao; Zhizhi Chen; Xiaodong Duan. The set of recurrent points of a continuous self-map on compact metric spaces and strong chaos. Annales Polonici Mathematici, Tome 81 (2003) pp. 265-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-3-7/