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

doi:10.1088/1674-1056/ab695c

中国物理B ›› 2020, Vol. 29 ›› Issue (3): 30502-030502.doi: 10.1088/1674-1056/ab695c

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

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

收稿日期:2019-10-06 修回日期:2019-11-26 出版日期:2020-03-05 发布日期:2020-03-05
通讯作者: Ke-Hui Sun E-mail:kehui@csu.edu.cn
基金资助:
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).

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

Received:2019-10-06 Revised:2019-11-26 Online:2020-03-05 Published:2020-03-05
Contact: Ke-Hui Sun E-mail:kehui@csu.edu.cn
Supported by:
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).

摘要/Abstract

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.

关键词: parameter estimation, chaotic map, particle swarm optimization, chaotic encryption

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.

Key words: parameter estimation, chaotic map, particle swarm optimization, chaotic encryption

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Pq (Numerical simulations of chaotic systems)

彭越兮, 孙克辉, 贺少波. Dynamics analysis of chaotic maps: From perspective on parameter estimation by meta-heuristic algorithm[J]. 中国物理B, 2020, 29(3): 30502-030502.

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[J]. Chin. Phys. B, 2020, 29(3): 30502-030502.

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

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

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