| 0-1符号空间上的*积子移位 |
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| 引用本文： | 范钦杰,王宏仁,杜弈秋. 0-1符号空间上的*积子移位[J]. 吉林大学学报(理学版), 2008, 46(6): 1021-1024 |
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| 作者姓名： | 范钦杰 王宏仁 杜弈秋 |
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| 作者单位： | 吉林师范大学,数学学院,吉林,四平,136000;吉林师范大学,数学学院,吉林,四平,136000;吉林师范大学,数学学院,吉林,四平,136000 |
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| 基金项目： | 国家自然科学基金，吉林师范大学科研启动基金 |
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| 摘 要： | 参照Feigenbaum搓揉子移位的定义, 给出了*积子移位的概念, 并通过探讨*积子移位与代换子移位的关系, 利用代换子移位的已有结果证明了每个*积子移位都是极小的、 惟一遍历的以及在Li Yorke意义下非混沌且具有零拓扑熵, 由此推出每个Feigenbaum搓揉子移位也具有上述性质.
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| 关 键 词： | Feigenbaum映射 积子移位 惟一遍历性 Li-Yorke混沌 拓扑熵 |
| 收稿时间： | 2008-04-05 |
* Product Subshifts on 0-1 Symbol Space |
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| FAN Qin-jie,WANG Hong-ren,DU Yi-qiu. * Product Subshifts on 0-1 Symbol Space[J]. Journal of Jilin University: Sci Ed, 2008, 46(6): 1021-1024 |
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| Authors: | FAN Qin-jie WANG Hong-ren DU Yi-qiu |
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| Affiliation: | College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China |
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| Abstract: | Following Feigenbaum’s kneading subshifts, we introduced the notion of * product subshift under the wider sense. By investigating the relationship between * product subshift and substitution subshift, and by using the known results on substitution subshifts, we proved that every * product subshift is minimal, uniquely ergodic, non chaotic in the sense of Li and Yorke and has zero topological entropy, from which we deduced that every Feigenbaum’s kneading subshift also exhibits the above properties. |
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| Keywords: | Feigenbaum mapping * product subshift uniquely ergodic LiYorke chaos topological entropy |
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