| 离散混沌系统类随机性的符号熵分析法 |
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| 引用本文： | 冯明库,刘炽辉,刘雄英. 离散混沌系统类随机性的符号熵分析法[J]. 计算机应用, 2009, 29(9) |
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| 作者姓名： | 冯明库 刘炽辉 刘雄英 |
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| 作者单位： | 广东技术师范学院,电子与信息学院,广州,510665;华南理工大学,电子与信息学院,广州,510640 |
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| 基金项目： | 国家自然科学基金资助项目，广东省科技厅科技计划项目 |
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| 摘 要： | 采用符号熵分析法,分析和讨论了经典的Logistic映射和Henon映射的类随机性强弱.先将离散混沌系统产生的实数序列转化为二进制序列,然后进行编码,计算其符号熵,绘制其符号熵图,并深入讨论了系统参数和初始值对符号熵的影响.数值仿真分析表明,符号熵法能定量区别不同离散混沌系统类随机性的强弱.同时作为随机源,Logistic映射比Henon映射好.
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| 关 键 词： | 混沌 类随机性 符号熵 Logistic映射 Henon映射 |
Analysis of random-like property of discrete chaotic system with symbol entropy |
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| FENG Ming-ku,LIU Chi-hui,LIU Xiong-ying. Analysis of random-like property of discrete chaotic system with symbol entropy[J]. Journal of Computer Applications, 2009, 29(9) |
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| Authors: | FENG Ming-ku LIU Chi-hui LIU Xiong-ying |
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| Affiliation: | 1.School of Electronic and Information;Guangdong Polytechnical Normal University;Guangzhou Guangdong 510665;China;2.School of Electronic and Information;South China University of Technology;Guangzhou Guangdong 510640;China |
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| Abstract: | Random-like properties of typical Logistic map and Henon map were analyzed and discussed by using symbol entropy algorithm.Firstly,the binary sequences were obtained from real-valued sequences generated by discrete chaotic maTP,then were coded.Symbol entropies of the binary sequences were calculated and their curves were plotted.Influences of system parameter and initial value on symbol entropy were discussed.Simulation results show that symbol entropy algorithm can be used to statistically identify the str... |
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| Keywords: | chaos random-like property symbol entropy Logistic map Henon map |
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