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

@article{LidongWang2003,
abstract = {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.},
author = {Lidong Wang, Gongfu Liao, Zhizhi Chen, Xiaodong Duan},
journal = {Annales Polonici Mathematici},
keywords = {strong chaos; topological entropy; recurrence; regular shift invariant},
language = {eng},
number = {3},
pages = {265-272},
title = {The set of recurrent points of a continuous self-map on compact metric spaces and strong chaos},
url = {http://eudml.org/doc/280479},
volume = {82},
year = {2003},
}

TY - JOUR
AU - Lidong Wang
AU - Gongfu Liao
AU - Zhizhi Chen
AU - Xiaodong Duan
TI - The set of recurrent points of a continuous self-map on compact metric spaces and strong chaos
JO - Annales Polonici Mathematici
PY - 2003
VL - 82
IS - 3
SP - 265
EP - 272
AB - 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.
LA - eng
KW - strong chaos; topological entropy; recurrence; regular shift invariant
UR - http://eudml.org/doc/280479
ER -