| Feigenbaum映射的吸引子 |
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| 引用本文： | 刘国清,矫思琦,迟艳辉. Feigenbaum映射的吸引子[J]. 高师理科学刊, 2010, 30(6): 14-16. DOI: 10.3969/j.issn.1007-9831.2010.06.005 |
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| 作者姓名： | 刘国清 矫思琦 迟艳辉 |
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| 作者单位： | [1]大庆师范学院数学科学学院,黑龙江大庆163712 [2]大庆师范学院教育科学学院,黑龙江大庆163712 |
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| 摘 要： | 介绍了一类p阶Feigenbaum映射f及其特征集C(f)的概念,通过证明限制映射f︱C(f)与p进位系统拓扑共轭,指出f︱C(f)是极小的,唯一遍历的且具有零拓扑熵.对于一类2阶Feigenbaum映射证明其特征集就是2进位吸引子.
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| 关 键 词： | Feigenbaum映射 吸引子 p进位系统 |
Attractors for Feigenbaum's maps |
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| LIU Guo-qing,JIAO Si-qi,CHI Yan-hui. Attractors for Feigenbaum's maps[J]. Journal of Science of Teachers＇College and University, 2010, 30(6): 14-16. DOI: 10.3969/j.issn.1007-9831.2010.06.005 |
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| Authors: | LIU Guo-qing JIAO Si-qi CHI Yan-hui |
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| Affiliation: | 1.School of Mathematics Science,Daqing Normal University,Daqing 163712,China;2.School of Education Science,Daqing Normal University,Daqing 163712,China) |
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| Abstract: | ntroduced a type of p-order Feigenbaum’s mapping f and the concept of its characteristic set C（f）.By proving the topological conjugacy between the restricted mapping f︱C（f） and p-adic system,indicated that f︱C（f） is minimal,uniquely ergodic and has zero topological entropy.For a type of 2 order Feigenbaum’s maps,it was proved that the characteristic set is a 2-adic attractor. |
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| Keywords: | Feigenbaum’s map attractor p-adic system |
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