| 一类4阶Feigenbaum映射的拟极限集 |
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| 引用本文： | 王立娟,张爱华.一类4阶Feigenbaum映射的拟极限集[J].吉林大学学报(理学版),2003,41(4):436-439. |
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| 作者姓名： | 王立娟 张爱华 |
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| 作者单位： | 1. 吉林大学数学学院, 长春 130012; 2. 南京邮电学院应用数理系， 南京 210003 |
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| 摘 要： | 讨论一类4阶Feigenbaum映射的拟极限集及其Hausdorff维数, 并证明对任意t∈(0,log31/2+12), 总存在一类具有简单轨 的4阶非单谷Feigenbaum映射， 它有一个以t为Hausdorff维数的拟极限集.
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| 关 键 词： | Feigenbaum映射 拟极限集 Hausdorff维数 简单轨 |
| 文章编号： | 1671-5489(2003)04-0436-04 |
| 收稿时间： | 2002-12-11 |
| 修稿时间： | 2002年12月11 |
Likely Limit Sets of a 4-Order Feigenbaum's Map |
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| WANG Li-juan.Likely Limit Sets of a 4-Order Feigenbaum''''s Map[J].Journal of Jilin University: Sci Ed,2003,41(4):436-439. |
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| Authors: | WANG Li-juan |
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| Institution: | 1. College of Mathematics, Jilin University, Changchun 130012, China; 2. Department of Applied Mathematics and Physics,Nanjing University of Posts and Telecommunications, Nanjing 210003, China |
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| Abstract: | On the basis of considering the likely limit sets of a 4-order Feigenbaum's map and their Hausdorff dimension, we have proved that for
any t∈(0,log31/2+12), there always exits such a 4-order nonsingle-valley Feigenbaum’s map which has a likely limit set with Hausdorff d imension t. |
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| Keywords: | Feigenbaum's map likely limit sets Hausdorff dimension simple periodic orbits |
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