| 符号空间及其与吸引子的关系 |
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| 引用本文： | 胡晓梅.符号空间及其与吸引子的关系[J].咸宁学院学报,2008,28(3):18-20. |
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| 作者姓名： | 胡晓梅 |
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| 作者单位： | 咸宁学院数学系,湖北咸宁,437100 |
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| 摘 要： | 首先讨论了在研究分形集时我们经常要用到的一个重要工具——符号空间，给出了它的若干拓扑性质。另外通过分析符号空间（∑^∞，δr）的几何性质，探讨了符号空间（∑^∞，δr）与吸引子之间的关系。
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| 关 键 词： | 迭代函数系统 符号空间 吸引子 三分Cantor集 |
Properties of the Shift Space and the Relations Between It and the Cantor set C |
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| HU Xiao-mei.Properties of the Shift Space and the Relations Between It and the Cantor set C[J].Journal of Xianning College,2008,28(3):18-20. |
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| Authors: | HU Xiao-mei |
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| Institution: | HU Xiao-mei ( Department of Mathematics, Xiarming University, Xianning 437100, China) |
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| Abstract: | Firstly, this paper has discussed the topological properties of the shift space, which is an important tool to study the fractal set. Then, based on the analysis on the geometrical properties of the shift space （ ∑^∞ ,δr） , this paper has discussed the relations between the shift space（ ∑^∞ ,δr） and the attractor. |
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| Keywords: | Iterated function system Shift space Attractor Cantor set |
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