Weakly mixing property and chaos |
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| Authors: | Lidong Wang Jianhua Liang Zhenyan Chu |
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| Institution: | 1.Zhuhai College of Jilin University,Zhuhai,China;2.Department of Mathematics,Dalian Nationalities University,Dalian,China;3.Mathematics School and Institute,Jilin University,Changchun,China |
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| Abstract: | In this paper, we define and study strong Kato chaos for a group action on a compact metric space. Let X be a compact metric space without isolated points, and let G be a topologically commutative group on X. If the dynamical system (X, G) is weakly mixing, then it is chaotic in the strong sense of Kato. |
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