Recurrent point set of the shift on Σ and strong chaos

• Autorzy: Lidong Wang , Gongfu Liao , Yu Yang
• Języki publikacji: EN

Abstrakty

EN

Let (Σ,ϱ) be the one-sided symbolic space (with two symbols), and let σ be the shift on Σ. We use A(·), R(·) to denote the set of almost periodic points and the set of recurrent points respectively. In this paper, we prove that the one-sided shift is strongly chaotic (in the sense of Schweizer-Smítal) and there is a strongly chaotic set 𝒥 satisfying 𝒥 ⊂ R(σ)-A(σ).

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2002
• Tom: 78
• Numer: 2
• Strony: 123-130

Daty

wydano

2002

Twórcy

autor

Lidong Wang

• Department of Mathematics, Dalian University for National Minorities, Dalian 116600, P.R. China

autor

Gongfu Liao

• Department of Mathematics, Jilin University, Changchun 130023, P.R. China

autor

Yu Yang

• Department of Computer Science, Siping Teacher's College, Siping 136000, P.R. China

Identyfikatory

DOI

10.4064/ap78-2-3