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

doi:10.4064/ap82-3-7

Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

The set of recurrent points of a continuous self-map on compact metric spaces and strong chaos

Tom 82 / 2003

Lidong Wang, Gongfu Liao, Zhizhi Chen, Xiaodong Duan Annales Polonici Mathematici 82 (2003), 265-272 MSC: 37B10, 37B40, 74H65, 34C28, 54H20. DOI: 10.4064/ap82-3-7

Streszczenie

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.

Autorzy

Lidong WangLidong Wang and Xiaodong Duan
Research Institute of Nonlinear Information Technology
Dalian Nationalities University
Dalian 116600, P.R. China
e-mail
Gongfu LiaoGongfu Liao
Institute of Mathematics
Jilin University
Changchun 130023, P.R. China
e-mail
Zhizhi ChenZhizhi Chen
Graduate Department of Jilin Normal University
Siping 136000, P.R. China
e-mail
Xiaodong DuanLidong Wang and Xiaodong Duan
Research Institute of Nonlinear Information Technology
Dalian Nationalities University
Dalian 116600, P.R. China
e-mail

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