Complex dynamics and encryption application of memristive chaotic system with various amplitude modulations

IF 1.6 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER The European Physical Journal B Pub Date : 2024-11-20 DOI:10.1140/epjb/s10051-024-00820-2
Yuanmao Zhong
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Abstract

The exploration of memristive chaotic system has garnered immense interest and attention in recent years. This paper endeavors to construct a novel four-dimensional memristive chaotic system by incorporating a third-order flux-controlled memristor into a simple chaotic system, leading to the emergence of chaos, periodicity and stability. The dynamic characteristics of the system are manifested through bifurcation diagrams, Lyapunov exponents and phase portraits. The most prominent feature of the system lies in its amplitude modulation, enabling it to achieve varying degrees of amplitude control by modulating the parameters. To validate its practical applicability, a cross-plane color image encryption algorithm has been devised and rigorously subjected to a comprehensive performance analysis. Numerical analysis results show that the NPCR and UACI are 99.6078% and 33.4661%, the correlation coefficients are close to 0, and the maximum information entropy reaches 7.9998. These results conclusively demonstrate the superior efficacy of the system in image encryption.

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具有各种振幅调制的记忆混沌系统的复杂动力学和加密应用
近年来,对记忆混沌系统的探索引起了人们的极大兴趣和关注。本文试图通过在简单混沌系统中加入三阶通量控制忆阻器,构建一个新型四维忆阻式混沌系统,从而实现混沌、周期性和稳定性。该系统的动态特性通过分岔图、Lyapunov 指数和相位图表现出来。该系统最突出的特点在于其振幅调制,通过调制参数可实现不同程度的振幅控制。为了验证其实际应用性,我们设计了一种跨平面彩色图像加密算法,并对其进行了严格的综合性能分析。数值分析结果表明,NPCR 和 UACI 分别为 99.6078% 和 33.4661%,相关系数接近 0,最大信息熵达到 7.9998。这些结果充分证明了该系统在图像加密方面的卓越功效。
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来源期刊
The European Physical Journal B
The European Physical Journal B 物理-物理:凝聚态物理
CiteScore
2.80
自引率
6.20%
发文量
184
审稿时长
5.1 months
期刊介绍: Solid State and Materials; Mesoscopic and Nanoscale Systems; Computational Methods; Statistical and Nonlinear Physics
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