Geodesic
The set of recurrent points of a continuous self-map on compact metric spaces and strong chaos
Lidong Wang1 ; Gongfu Liao2 ; Zhizhi Chen3 ; Xiaodong Duan1
1Lidong Wang and Xiaodong Duan Research Institute of Nonlinear Information Technology Dalian Nationalities University Dalian 116600, P.R. China
2Gongfu Liao Institute of Mathematics Jilin University Changchun 130023, P.R. China
3Zhizhi Chen Graduate Department of Jilin Normal University Siping 136000, P.R. China
Annales Polonici Mathematici, Tome 82 (2003) no. 3, pp. 265-272
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap82-3-7
Keywords: discuss existence uncountable strongly chaotic set continuous self map compact metric space proved continuous self map compact metric space has regular shift invariant set has uncountable strongly chaotic set which each point recurrent almost periodic

Lidong Wang  1   ; Gongfu Liao  2   ; Zhizhi Chen  3   ; Xiaodong Duan  1

1 Lidong Wang and Xiaodong Duan Research Institute of Nonlinear Information Technology Dalian Nationalities University Dalian 116600, P.R. China
2 Gongfu Liao Institute of Mathematics Jilin University Changchun 130023, P.R. China
3 Zhizhi Chen Graduate Department of Jilin Normal University Siping 136000, P.R. China 
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     title = {The set of recurrent points of a continuous
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     journal = {Annales Polonici Mathematici},
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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 82 (2003) no. 3, pp. 265-272. doi: 10.4064/ap82-3-7

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