Year: 2013
Author: Zhizhi Chen, Li Liao, Wei Wang
Communications in Mathematical Research , Vol. 29 (2013), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-CMR-19020
Communications in Mathematical Research , Vol. 29 (2013), Iss. 2 : pp. 148–154
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: Devaney chaos distributional chaos topological entropy.