| p阶Feigenbaum映射的拟极限集及其Hausdorff维数 |
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| 引用本文： | 廖公夫,汪威.p阶Feigenbaum映射的拟极限集及其Hausdorff维数[J].吉林大学学报(理学版),2009,47(5):933-934. |
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| 作者姓名： | 廖公夫 汪威 |
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| 作者单位： | 1. 吉林师范大学 数学学院, 吉林 四平 136000,2. 吉林大学 数学研究所, 长春 130012 |
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| 摘 要： | 通过研究Feigenbaum映射分形极限集的存在条件, 证明了对任何t∈(0,1), 存在一个p阶Feigenbaum映射, 使得其拟极限集的Hausdorff维数是t, 并在广泛意义下推广了已有的相应结果.
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| 关 键 词： | p阶Feigenbaum映射 拟极限集 Hausdorff维数 |
| 收稿时间： | 2009-05-14 |
Likely Limit Sets of p-Order Feigenbaum's Maps and Their Hausdorff Dimensions |
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| LIAO Gong-fu,WANG Wei.Likely Limit Sets of p-Order Feigenbaum's Maps and Their Hausdorff Dimensions[J].Journal of Jilin University: Sci Ed,2009,47(5):933-934. |
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| Authors: | LIAO Gong-fu WANG Wei |
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| Institution: | 1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;
2. Institute of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | Investigating the existence of the fractal limit sets of p-order Feigenbaum’s maps, we have proved that for any t∈(0,1), there exists such a p-order Feigenbaum’s map that the Hausdorff dimension of the likely limit set is t, by which some known relative results are generalized in the widest sense. |
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| Keywords: | p-order Feigenbaum's map likely limit set Hausdorff dimension |
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