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Dynamics analysis of chaotic maps: From perspective on parameter estimation by meta-heuristic algorithm 被引量:4

Dynamics analysis of chaotic maps: From perspective on parameter estimation by meta-heuristic algorithm
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摘要 Chaotic encryption is one of hot topics in cryptography, which has received increasing attention. Among many encryption methods, chaotic map is employed as an important source of pseudo-random numbers(PRNS). Although the randomness and the butterfly effect of chaotic map make the generated sequence look very confused, its essence is still the deterministic behavior generated by a set of deterministic parameters. Therefore, the unceasing improved parameter estimation technology becomes one of potential threats for chaotic encryption, enhancing the attacking effect of the deciphering methods. In this paper, for better analyzing the cryptography, we focus on investigating the condition of chaotic maps to resist parameter estimation. An improved particle swarm optimization(IPSO) algorithm is introduced as the estimation method. Furthermore, a new piecewise principle is proposed for increasing estimation precision. Detailed experimental results demonstrate the effectiveness of the new estimation principle, and some new requirements are summarized for a secure chaotic encryption system. Chaotic encryption is one of hot topics in cryptography, which has received increasing attention. Among many encryption methods, chaotic map is employed as an important source of pseudo-random numbers(PRNS). Although the randomness and the butterfly effect of chaotic map make the generated sequence look very confused, its essence is still the deterministic behavior generated by a set of deterministic parameters. Therefore, the unceasing improved parameter estimation technology becomes one of potential threats for chaotic encryption, enhancing the attacking effect of the deciphering methods. In this paper, for better analyzing the cryptography, we focus on investigating the condition of chaotic maps to resist parameter estimation. An improved particle swarm optimization(IPSO) algorithm is introduced as the estimation method. Furthermore, a new piecewise principle is proposed for increasing estimation precision. Detailed experimental results demonstrate the effectiveness of the new estimation principle, and some new requirements are summarized for a secure chaotic encryption system.
作者 彭越兮 孙克辉 贺少波 Yue-Xi Peng;Ke-Hui Sun;Shao-Bo He(School of Physics and Electronics,Central South University,Changsha 410083,China)
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第3期112-118,共7页 中国物理B(英文版)
基金 Project supported by the National Natural Science Foundation of China(Grant Nos.61161006 and 61573383) the Key Innovation Project of Graduate of Central South University(Grant No.2018ZZTS009) the Postdoctoral Innovative Talents Support Program(Grant No.BX20180386)。
关键词 PARAMETER estimation CHAOTIC MAP PARTICLE SWARM optimization CHAOTIC ENCRYPTION parameter estimation chaotic map particle swarm optimization chaotic encryption
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