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Volume 29, Issue 2
A Devaney Chaotic System Which Is Neither Distributively nor Topologically Chaotic

Zhizhi Chen, Li Liao & Wei Wang

Commun. Math. Res., 29 (2013), pp. 148-154.

Published online: 2021-05

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  • 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.

  • Keywords

Devaney chaos, distributional chaos, topological entropy.

  • AMS Subject Headings

54H20, 58F03, 58F08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-29-148, author = {Zhizhi and Chen and and 18937 and and Zhizhi Chen and Li and Liao and and 18938 and and Li Liao and Wei and Wang and and 18939 and and Wei Wang}, 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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