1Department of Mathematics Dalian University for National Minorities Dalian 116600, P.R. China 2Department of Mathematics Jilin University Changchun 130023, P.R. China 3Department of Computer Science Siping Teacher's College Siping 136000, P.R. China
Annales Polonici Mathematici, Tome 78 (2002) no. 2, pp. 123-130
Let $({\mit \Sigma },\varrho )$ be the one-sided symbolic space (with two symbols), and let $\sigma $ be the shift on ${\mit \Sigma }$. We use $A(\cdot )$, $R(\cdot )$ 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–Sm{í}tal) and there is a strongly chaotic set ${\cal J}$ satisfying ${\cal J}\subset R(\sigma )-A(\sigma )$.
Keywords:
mit sigma varrho one sided symbolic space symbols sigma shift mit sigma cdot cdot denote set almost periodic points set recurrent points respectively paper prove one sided shift strongly chaotic sense schweizer tal there strongly chaotic set cal satisfying cal subset sigma a sigma
Affiliations des auteurs :
Lidong Wang
1
;
Gongfu Liao
2
;
Yu Yang
3
1
Department of Mathematics Dalian University for National Minorities Dalian 116600, P.R. China
2
Department of Mathematics Jilin University Changchun 130023, P.R. China
3
Department of Computer Science Siping Teacher's College Siping 136000, P.R. China
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Lidong Wang; Gongfu Liao; Yu Yang. Recurrent point set of the shift on ${\mit \Sigma }$ and strong chaos. Annales Polonici Mathematici, Tome 78 (2002) no. 2, pp. 123-130. doi: 10.4064/ap78-2-3
