Analysis of random-like property of continuous chaotic system with symbol entropy

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (5): 40-42.

• 研究、探讨 • Previous Articles Next Articles

Analysis of random-like property of continuous chaotic system with symbol entropy

FENG Mingku，LIU Jinglin

School of Electronic & Information，Guangdong Polytechnical Normal University，Guangzhou 510665，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-02-11 Published:2011-02-11

连续混沌系统类随机性的符号熵分析法

冯明库，刘景琳

广东技术师范学院电子与信息学院，广州 510665

Abstract

Abstract: Random-like properties of typical Lorenz chaotic system and Rossler chaotic system are analyzed and discussed by using symbol entropy algorithm.Firstly，the binary sequences are obtained from real-valued sequences generated by continuous chaotic systems，then are coded.Symbol entropies of the binary sequences are calculated and their curves are plotted.Influences of system parameter and initial value on symbol entropy are discussed.Simulation result shows that symbol entropy algorithm can be used to identify the strength of random-like properties of continuous chaotic systems，and Lorenz chaotic system is better than R?ssler chaotic system as the source of randomness.

Key words: chaos, random-like property, symbol entropy, Lorenz chaotic system, Rossler chaotic system

摘要： 采用符号熵分析法，分析和讨论了经典的Lorenz连续混沌系统和Rossler连续混沌系统的类随机性强弱。先将连续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连续混沌系统类随机性的强弱。同时作为随机源，Lorenz混沌系统比R?ssler混沌系统好。

关键词: 混沌, 类随机性, 符号熵, Lorenz混沌系统, Rossler混沌系统

FENG Mingku，LIU Jinglin. Analysis of random-like property of continuous chaotic system with symbol entropy[J]. Computer Engineering and Applications, 2011, 47(5): 40-42.

冯明库，刘景琳. 连续混沌系统类随机性的符号熵分析法[J]. 计算机工程与应用, 2011, 47(5): 40-42.

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Analysis of random-like property of continuous chaotic system with symbol entropy

连续混沌系统类随机性的符号熵分析法

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