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Chin. Phys. B, 2020, Vol. 29(3): 030502    DOI: 10.1088/1674-1056/ab695c
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Dynamics analysis of chaotic maps: From perspective on parameter estimation by meta-heuristic algorithm

Yue-Xi Peng(彭越兮), Ke-Hui Sun(孙克辉), Shao-Bo He(贺少波)
School of Physics and Electronics, Central South University, Changsha 410083, China
Abstract  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.
Keywords:  parameter estimation      chaotic map      particle swarm optimization      chaotic encryption  
Received:  06 October 2019      Revised:  26 November 2019      Published:  05 March 2020
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
Fund: 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), and the Postdoctoral Innovative Talents Support Program (Grant No. BX20180386).
Corresponding Authors:  Ke-Hui Sun     E-mail:  kehui@csu.edu.cn

Cite this article: 

Yue-Xi Peng(彭越兮), Ke-Hui Sun(孙克辉), Shao-Bo He(贺少波) Dynamics analysis of chaotic maps: From perspective on parameter estimation by meta-heuristic algorithm 2020 Chin. Phys. B 29 030502

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