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2~q阶单谷Feigenbaum映射的拟极限集
引用本文:蔡耀雄,陈尔明.2~q阶单谷Feigenbaum映射的拟极限集[J].莆田学院学报,2007,14(2):29-33.
作者姓名:蔡耀雄  陈尔明
作者单位:华侨大学,数学系,福建,泉州,362021
摘    要:讨论了2q阶(q≥1)单谷Feigenbaum映射的拟极限集及其Hausdorff维数,得到其结构,并给出了其准确的Hausdorff维数的关系式。

关 键 词:Feigenbaum映射  拟极限集  吸引子  Hausdorff维数  简单轨
文章编号:1672-4143(2007)02-0029-05
修稿时间:2007-02-08

Likely Limit Sets of a 2q-Order Single-Valley Feigenbaum's Map
CAI Yao-xiong,CHEN Er-ming.Likely Limit Sets of a 2q-Order Single-Valley Feigenbaum''''s Map[J].journal of putian university,2007,14(2):29-33.
Authors:CAI Yao-xiong  CHEN Er-ming
Institution:Deparanent of Mathematics, Huaqiao University, Quanzhou 362021, China
Abstract:On the basis of considering the likely limit sets of a 2q-order(q≥1) single-valley Feigenbaum's map and its Hausdorff dimension,the construction of likely limit sets is described,and the relative expression of its exact Hausdorff dimension is obtained.
Keywords:Feigenbaum's map  likely limit sets  attractor  Hausdorff dimension  simple periodic orbits
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