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Distributional chaos in a sequence |
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| Authors: | Lidong Wang Guifeng Huang Songmei Huan |
| Institution: | 1. Department of Mathematics, Dalian Nationalities University, 116600, China;2. Department of Mathematics, Jilin Normal University, 136000, China;3. Department of Basics, Dalian Naval Academy, 116018, Liaoning, China;4. Department of Mathematics, Liaoning Normal University, 116029, China |
| Abstract: | In this paper we prove a sufficient condition for the continuous map of a compact metric space for being distributively chaotic in a sequence. As an application, it is proved that a continuous map of an interval is chaotic in the Li–Yorke sense if and only if it is distributively chaotic in a sequence. |
| Keywords: | 37B20 37B40 74H65 |
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