Recurrent point set of the shift on Σ and strong chaos
Lidong Wang; Gongfu Liao; Yu Yang
Annales Polonici Mathematici (2002)
- Volume: 78, Issue: 2, page 123-130
- ISSN: 0066-2216
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topLidong Wang, Gongfu Liao, and Yu Yang. "Recurrent point set of the shift on Σ and strong chaos." Annales Polonici Mathematici 78.2 (2002): 123-130. <http://eudml.org/doc/280325>.
@article{LidongWang2002,
abstract = {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).},
author = {Lidong Wang, Gongfu Liao, Yu Yang},
journal = {Annales Polonici Mathematici},
keywords = {recurrent point; shift; strong chaos},
language = {eng},
number = {2},
pages = {123-130},
title = {Recurrent point set of the shift on Σ and strong chaos},
url = {http://eudml.org/doc/280325},
volume = {78},
year = {2002},
}
TY - JOUR
AU - Lidong Wang
AU - Gongfu Liao
AU - Yu Yang
TI - Recurrent point set of the shift on Σ and strong chaos
JO - Annales Polonici Mathematici
PY - 2002
VL - 78
IS - 2
SP - 123
EP - 130
AB - 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).
LA - eng
KW - recurrent point; shift; strong chaos
UR - http://eudml.org/doc/280325
ER -
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