| 混沌与拓扑强混合 |
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| 引用本文： | 范钦杰.混沌与拓扑强混合[J].大学数学,2004,20(6):68-72. |
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| 作者姓名： | 范钦杰 |
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| 作者单位： | 吉林师范大学,吉林,四平,136000 |
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| 基金项目： | 国家自然科学基金资助项目(19971035) |
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| 摘 要： | 讨论了拓扑强混合、Li—Yorke混沌和修改的Devaney混沌三者之间的关系,我们得到:Li—Yorke混沌与修改的Devaney混沌无蕴涵关系;Li—Yorke混沌和修改的Devaney混沌均不能蕴涵着拓扑强混合,这解决了文献1]中提出的两个问题.
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| 关 键 词： | 拓扑强混合 Li-Yorke混沌 修改的Devaney混沌 |
| 文章编号： | 1672-1454(2004)06-0068-05 |
| 修稿时间： | 2004年5月21日 |
On Chaos and Topologically Strongly Mixing |
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| FAN Qin-jie.On Chaos and Topologically Strongly Mixing[J].College Mathematics,2004,20(6):68-72. |
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| Authors: | FAN Qin-jie |
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| Abstract: | We discuss the following relations between topologically strongly mixing, Li—Yorke chaos and Devaney Chaos modified in compact systems. We get (i) Li—Yorke chaos doesn't imply Devaney Chaos modified, the converse also is true. (ii) Each of Li—Yorke chaos and Devaney Chaos modified doesn't imply topologically strongly mixing. |
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| Keywords: | Li—Yorke chaos Devaney Chaos modified topologically strongly mixing |
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