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

• Autorzy: Lidong Wang , Gongfu Liao , Zhizhi Chen , Xiaodong Duan
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37B40: Topological entropy
• 54H20: Topological dynamics
• 34C28: Complex behavior, chaotic systems
• 74H65: Chaotic behavior
• 37B10: Symbolic dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 82
• Numer: 3
• Strony: 265-272

Daty

wydano

2003

Twórcy

autor

Lidong Wang

• Lidong Wang and Xiaodong Duan, Research Institute of Nonlinear Information Technology, Dalian Nationalities University, Dalian 116600, P.R. China

autor

Gongfu Liao

• Gongfu Liao, Institute of Mathematics, Jilin University, Changchun 130023, P.R. China

autor

Zhizhi Chen

• Zhizhi Chen, Graduate Department of Jilin Normal University, Siping 136000, P.R. China

autor

Xiaodong Duan

• Lidong Wang and Xiaodong Duan, Research Institute of Nonlinear Information Technology, Dalian Nationalities University, Dalian 116600, P.R. China

Identyfikatory

DOI

10.4064/ap82-3-7