A Devaney Chaotic System Which Is Neither Distributively nor Topologically Chaotic
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@Article{CMR-29-148,
author = {Chen , ZhizhiLiao , Li and Wang , Wei},
title = {A Devaney Chaotic System Which Is Neither Distributively nor Topologically Chaotic},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {29},
number = {2},
pages = {148--154},
abstract = {
Weiss proved that Devaney chaos does not imply topological chaos and Oprocha pointed out that Devaney chaos does not imply distributional chaos. In this paper, by constructing a simple example which is Devaney chaotic but neither distributively nor topologically chaotic, we give a unified proof for the results of Weiss and Oprocha.
}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19020.html} }
TY - JOUR
T1 - A Devaney Chaotic System Which Is Neither Distributively nor Topologically Chaotic
AU - Chen , Zhizhi
AU - Liao , Li
AU - Wang , Wei
JO - Communications in Mathematical Research
VL - 2
SP - 148
EP - 154
PY - 2021
DA - 2021/05
SN - 29
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19020.html
KW - Devaney chaos, distributional chaos, topological entropy.
AB -
Weiss proved that Devaney chaos does not imply topological chaos and Oprocha pointed out that Devaney chaos does not imply distributional chaos. In this paper, by constructing a simple example which is Devaney chaotic but neither distributively nor topologically chaotic, we give a unified proof for the results of Weiss and Oprocha.
Zhizhi Chen, Li Liao & Wei Wang. (2021). A Devaney Chaotic System Which Is Neither Distributively nor Topologically Chaotic.
Communications in Mathematical Research . 29 (2).
148-154.
doi:
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