| 具有平面晶体对称性混沌吸引子的分形极限图 |
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| 引用本文： | 邹玉茹,鲁坚.具有平面晶体对称性混沌吸引子的分形极限图[J].计算机与现代化,2009(4). |
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| 作者姓名： | 邹玉茹 鲁坚 |
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| 作者单位： | 深圳大学数学与计算科学学院,广东,深圳,518060 |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金，深圳大学科研启动资助项目 |
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| 摘 要： | 提出用混沌函数构造具有平面晶体群对称性混沌吸引子的上半平面、方极限和圆极限分形图的简便方法.通过确定单个混沌吸引子所在的基本区域,利用同胚仿射变换,把基本区域中的混沌吸引子自相似地映射到上半平面,进而生成方极限、圆极限分形图.这些图案具有很好的艺术渲染力.该方法使单个混沌吸引子保持几何结构不变,但图形在整体上却具有很好分形自相似的性质.
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| 关 键 词： | 混沌吸引子 分形自相似 极限图 |
Fractal Limit Images of Chaotic Attractors with Crystallographic Symmetries |
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| ZOU Yu-ru,LU Jian.Fractal Limit Images of Chaotic Attractors with Crystallographic Symmetries[J].Computer and Modernization,2009(4). |
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| Authors: | ZOU Yu-ru LU Jian |
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| Affiliation: | College of Mathematics and Computational Science;Shenzhen University;Shenzhen 518060;China |
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| Abstract: | In this paper,fractal limit images of chaotic attractors with planar crystallographic symmetries are constructed by chaotic functions.These images are called half upper planar,squre limit and circle limit images.So a simple method is present here.The fundamental region of single attractor is decided and self-similarly mapped into the upper half plane by using the homeomorphic affine transformation.Then the fractal limit images of square limit and circle limit are obtained.Owing to this method,the geometric ... |
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| Keywords: | chaotic attractors fractal self-similar limit image |
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