| 集值离散动力系统的混沌性与拓扑混合 |
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| 引用本文： | 王一伊.集值离散动力系统的混沌性与拓扑混合[J].吉林大学学报(理学版),2005,43(4):436-438. |
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| 作者姓名： | 王一伊 |
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| 作者单位： | 吉林大学,数学学院,长春,130012 |
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| 摘 要： | 设(X,d)是紧致度量空间, f: X→X是连续映射, (k(X),H)是X所有非空紧致子集由d所 诱导的Hausdorff度量空间. f: k(X)→k(X), f(A)={f(a)|a∈A}. 研究集值映射f的混沌性、 f的拓扑弱混合以及拓扑混合与f混沌性之间的关系.
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| 关 键 词： | 混沌 拓扑混合 弱拓扑混合 |
| 文章编号： | 1671-5489(2005)04-0436-03 |
| 收稿时间： | 2005-06-23 |
| 修稿时间： | 2005年6月23日 |
Chaos in Set-valued Discrete Systems and Topological Mixing |
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| WANG Yi-yi.Chaos in Set-valued Discrete Systems and Topological Mixing[J].Journal of Jilin University: Sci Ed,2005,43(4):436-438. |
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| Authors: | WANG Yi-yi |
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| Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | Let (X,d) be a compact metric space and f: XX a continuous mapping, then ((k(X),H)) is d induced Hausdorff metric space of all non-empty compact subsets of X and(f): k(X)k(X), f(A)=({f(a)aA}). We investigated the relationships between the chaoticity of some set-valued discrete dynamical (systems) associated withf, the weakly topologically mixing and the topologically mixing off with the chaoticity of f. |
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| Keywords: | chaos topological mixing weakly topologically mixing |
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