Relationships among some chaotic properties of non-autonomous discrete dynamical systems |
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| Authors: | Hua Shao Hao Zhu |
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| Affiliation: | Department of Mathematics, Shandong University , Jinan, P.R. China. |
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| Abstract: | This paper is concerned with relationships among some chaotic properties of non-autonomous discrete dynamical systems. Some relationships among weak mixing, topologically weak mixing, generic chaos, dense chaos, and sensitivity are investigated. In addition, some equivalent conditions of sensitivity are given and the relationships between sensitivity and Li–Yorke sensitivity are obtained. These results generalize some existing results of autonomous discrete systems, some of which relax the corresponding conditions. |
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| Keywords: | Non-autonomous discrete system weak mixing sensitivity generic chaos dense chaos |
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