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混沌吸引子随机性的一种判别方法
引用本文:冯明库,薛迎霄.混沌吸引子随机性的一种判别方法[J].计算机工程与应用,2007,43(15):56-58.
作者姓名:冯明库  薛迎霄
作者单位:[1]华南理工大学电子与信息学院,广州510640 [2]广东技术师范学院电子信息工程系,广州510665
摘    要:在混沌科学领域,截至目前混沌吸引子随机性强弱还没有一个统一的评判标准,文章尝试提出了一种判别混沌随机性强弱的原理和算法,且该方法不需要相空间重构。应用该方法对周期运动、强弱混沌、两种离散混沌映射及噪声进行数值仿真,结果表明该方法能有效识别不同混沌运动的随机性强弱。

关 键 词:随机性  混沌  Logistic映射  Henon映射  高斯白噪声
文章编号:1002-8331(2007)15-0056-03
修稿时间:2007-03

Method to identify random characteristic of chaotic attractors
FENG Ming-ku,XUE Ying-xiao.Method to identify random characteristic of chaotic attractors[J].Computer Engineering and Applications,2007,43(15):56-58.
Authors:FENG Ming-ku  XUE Ying-xiao
Affiliation:1.College of Electronics &; Information,South China University of Technology,Guangzhou 510640,China 2.Department of Electronic Information Engineering,Guangdong Polytechnical Normal University,Guangzhou 510665,China
Abstract:In chaos scientific domain,there has been no common criterion about the strength of random characteristic of chaotic attractors up to now.In this paper,a principle and an algorithm about that are proposed,and the method doesn't need phase space construction.Then the method is applied to simulate the periodic motion,the strong and weak chaos,two kinds of discrete map and white Gaussian noise.The result shows that the method is valid to identify the strength of random characteristic of different chaotic motions.
Keywords:random characteristic  chaos  Logistic map  Henon map  white Gaussian noise
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