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.