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Recent development of chaos theory in topological dynamics

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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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  1. Department of Mathematics, Shantou University, Shantou, 515063, P. R. China

    Jian Li

  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

    Xiang Dong Ye

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  1. Jian Li
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Correspondence to Jian Li.

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Supported by NNSF of China (Grant Nos. 11371339, 11431012, 11401362, 11471125) and NSF of Guangdong province (Grant No. S2013040014084)

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Li, J., Ye, X.D. Recent development of chaos theory in topological dynamics. Acta. Math. Sin.-English Ser. 32, 83–114 (2016). https://doi.org/10.1007/s10114-015-4574-0

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