Recent development of chaos theory in topological dynamics |
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| Authors: | Jian Li Xiang Dong Ye |
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| Institution: | 1. Department of Mathematics, Shantou University, Shantou 515063, P. R. China;
2. Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences and School of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China |
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| Abstract: | We give a summary on the recent development of chaos theory in topological dynamics, focusing on Li-Yorke chaos, Devaney chaos, distributional chaos, positive topological entropy, weakly mixing sets and so on, and their relationships. |
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| Keywords: | Li-Yorke chaos Devaney chaos sensitive dependence on initial conditions distributional chaos weak mixing topological entropy Furstenberg family |
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