物理学报2012，Vol.61Issue(13)：71-77,7.
模糊熵算法在混沌序列复杂度分析中的应用
Application of FuzzyEn algorithm to the analysis of complexity of chaotic sequence
摘要
Abstract
To analyze the complexity of chaotic sequence correctly, complexity of systems, including typical discrete chaotic systems and continuous chaotic systems, are investigated based on the FuzzyEn algorithm. Compared with ApEn, SampEn and Intensive statistical complexity algorithm, the FuzzyEn algorithm is an effective measure algorithm for analyzing chaotic sequence complexity, and it has low sensitivity to and slight dependences on phase space dimension （m）, similar tolerance （r） and sequence length （N）, better robustness and measure value continuities. Results of the complexities of chaotic systems show that the complexity of continuous chaotic systems are much smaller than those of the discrete chaotic systems. However, having been disturbed by high complex discrete chaotic pseudo-random sequences or classical meries, the pseudo-random sequences of continuous chaotic systems increase their complexities significantly. Our result provides a theoretical basis for the application of chaotic sequences to the field of cryptography and secure communication.关键词
模糊熵/离散混沌系统/连续混沌系统/复杂度Key words
fuzzyEn/discrete chaotic system/continuous chaotic system/complexity/disorder分类
信息技术与安全科学引用本文复制引用
孙克辉,贺少波,尹林子,阿地力·多力坤..模糊熵算法在混沌序列复杂度分析中的应用[J].物理学报,2012,61(13):71-77,7.基金项目
国家自然科学基金（批准号：61161006,61073187）资助的课题 （）
