A novel memristor-based multi-vortex hyperchaotic circuit design and its application in image encryption

IF 0.9 4区工程技术 Q4 COMPUTER SCIENCE, HARDWARE & ARCHITECTURE

Journal of Circuits Systems and Computers Pub Date : 2023-10-06 DOI:10.1142/s0218126624501007

Jie Zhang, Xinghao Wang, Jinyou Hou, Yan Guo, Qinggang Xie

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引用次数: 0

Abstract

This paper proposes a new four-dimensional hyper-chaotic system capable of generating multi-wing chaotic attractors by introducing active magnetron memristors, multi-segmented square functions and trigonometric functions. The dynamical properties of this new hyper-chaotic system, such as equilibrium point, dissipation, Lyapunov exponential spectrum, bifurcation diagram and Poincaré cross-section and attraction basin, are analyzed theoretically and simulated numerically, and the complexity of this system with different parameters is analyzed. It is observed that this hyper-chaotic system has periodic, chaotic and hyper-chaotic variations with an infinite number of equilibria and coexisting attractors under different parameter conditions. The circuit simulation was performed using Multisim and the results obtained were consistent with the numerical analysis of the dynamics, and the chaotic circuit system is designed by FPGA to verify the realizability of the system. Finally, an image encryption algorithm is designed in conjunction with the DNA algorithm to enable a new system chaotic sequence for image encryption. The results show that the hyper-chaotic system has rich dynamical behavior and has high-security performance when applied to image encryption with strong chaotic key and plaintext sensitivity and large key space in image encryption.

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一种基于忆阻器的多涡超混沌电路设计及其在图像加密中的应用

本文通过引入有源磁控管忆阻器、多分段平方函数和三角函数，提出了一种能够产生多翼混沌吸引子的新型四维超混沌系统。对该超混沌系统的平衡点、耗散、Lyapunov指数谱、分岔图、poincar截面和引力盆地等动力学特性进行了理论分析和数值模拟，并对不同参数下系统的复杂性进行了分析。观察到在不同参数条件下，该超混沌系统具有周期、混沌和超混沌的变化，具有无限个平衡点和共存的吸引子。利用Multisim软件对电路进行仿真，仿真结果与动力学数值分析结果一致，并利用FPGA设计了混沌电路系统，验证了系统的可实现性。最后，结合DNA算法设计了一种图像加密算法，实现了一种新的系统混沌序列用于图像加密。结果表明，该超混沌系统具有丰富的动态行为和较高的安全性能，在图像加密中具有较强的混沌密钥和明文敏感性以及较大的密钥空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Circuits Systems and Computers 工程技术-工程：电子与电气

CiteScore

2.80

自引率

26.70%

发文量

350

审稿时长

5.4 months

期刊介绍： Journal of Circuits, Systems, and Computers covers a wide scope, ranging from mathematical foundations to practical engineering design in the general areas of circuits, systems, and computers with focus on their circuit aspects. Although primary emphasis will be on research papers, survey, expository and tutorial papers are also welcome. The journal consists of two sections: Papers - Contributions in this section may be of a research or tutorial nature. Research papers must be original and must not duplicate descriptions or derivations available elsewhere. The author should limit paper length whenever this can be done without impairing quality. Letters - This section provides a vehicle for speedy publication of new results and information of current interest in circuits, systems, and computers. Focus will be directed to practical design- and applications-oriented contributions, but publication in this section will not be restricted to this material. These letters are to concentrate on reporting the results obtained, their significance and the conclusions, while including only the minimum of supporting details required to understand the contribution. Publication of a manuscript in this manner does not preclude a later publication with a fully developed version.