| 迭代函数系统的吸引子的维数估计 |
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| 引用本文： | 王万恒. 迭代函数系统的吸引子的维数估计[J]. 数学学报, 1998, 41(5). DOI: cnki:ISSN:0583-1431.0.1998-05-009 |
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| 作者姓名： | 王万恒 |
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| 作者单位： | 贵州民族学院数学系 |
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| 摘 要： | 某些迭代函数系统（ＩＦＳ）的吸引子的Ｈａｕｓｄｏｒｆ维数的经典估计通常由求解两个非线性方程的解得到．在相同条件下，本文给出了一些显式不等式估计，使经典估计是其中的特殊情形．而且某些ＩＦＳ的吸引子的维数可以通过求解满足一定条件的非线性方程而得出
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| 关 键 词： | 迭代函数系统（IFS），吸引子，Hausdorf维数，质量分布 |
Estimates for Dimensions of Attractors of Iterated Function Systems |
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| Wang Wanheng. Estimates for Dimensions of Attractors of Iterated Function Systems[J]. Acta Mathematica Sinica, 1998, 41(5). DOI: cnki:ISSN:0583-1431.0.1998-05-009 |
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| Authors: | Wang Wanheng |
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| Affiliation: | Wang Wanheng (Department of Mathematics, GuiyangInstitute For Nationalities, Guiyang550025, China) |
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| Abstract: | Typical estimates for upper and lower bounds of Hausdorff dimensions of attractors of IFS can be generally gotten through solving two nonlinear equations, respectively. In this paper, we propose some explicit estimates such that typical estimates are special cases of them. Based on the results, more importantly, Hausdorff dimensions of some attractors can be computed by solving a nonlinear equation with some conditions. |
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| Keywords: | Iterated function systems Attractors Hausdorff dimension Mass distribution |
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