,Dynamics analysis of chaotic maps:From perspective on parameter estimation by meta-heuristic algori

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Chaotic encryption is one of hot topics in cryptography, which has received increasing attention. Among many en-cryption methods, chaotic map is employed as an important source of pseudo-random numbers (PRNS). Although the randomness and the butterfl y 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 estima-tion 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.
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