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一种与双忆阻器耦合的新型四维混沌系统及其在图像加密中的应用。

A novel 4D chaotic system coupling with dual-memristors and application in image encryption.

作者信息

Wang Qiao, Sang Haiwei, Wang Pei, Yu Xiong, Yang Zongyun

机构信息

College of Mathematics and Big Data, Guizhou Education University, Guiyang, 550018, China.

School of Artificial Intelligence, Guangzhou University, Guangzhou, 510006, China.

出版信息

Sci Rep. 2024 Nov 28;14(1):29615. doi: 10.1038/s41598-024-80445-8.

DOI:10.1038/s41598-024-80445-8
PMID:39609534
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11605071/
Abstract

A novel 4D dual-memristor chaotic system (4D-DMCS) is constructed by concurrently introducing two types of memristors: an ideal quadratic smooth memristor and a memristor with an absolute term, into a newly designed jerk chaotic system. The excellent nonlinear properties of the system are investigated by analyzing the Lyapunov exponent spectrum, and bifurcation diagram. The 4D-DMCS retains some characteristics of the original jerk chaotic system, such as the offset boosting in the x-axis direction. Simultaneously, the integration of the two memristors significantly enriches the dynamic behavior of the system, notably augmenting its transitional behaviors, fostering greater multistability, and elevating both spectral entropy and C complexity. This augmentation underscores the profound impact of the memristors on the system's overall performance and complexity. The system is implemented through the STM32 microcontroller, further proving the physical realizability of the system. Ultimately, the 4D-DMCS exhibits remarkable performance when applied to image encryption, demonstrating its significant potential and effectiveness in this domain.

摘要

通过将两种类型的忆阻器

理想二次光滑忆阻器和含绝对值项的忆阻器，同时引入新设计的 jerk 混沌系统，构建了一种新型的 4D 双忆阻器混沌系统（4D-DMCS）。通过分析李雅普诺夫指数谱和分岔图，研究了该系统优异的非线性特性。4D-DMCS 保留了原始 jerk 混沌系统的一些特性，如在 x 轴方向上的偏移增强。同时，两种忆阻器的集成显著丰富了系统的动态行为，特别是增强了其过渡行为，促进了更大的多稳定性，并提高了谱熵和 C 复杂度。这种增强突出了忆阻器对系统整体性能和复杂度的深远影响。该系统通过 STM32 微控制器实现，进一步证明了系统的物理可实现性。最终，4D-DMCS 在应用于图像加密时表现出卓越的性能，证明了其在该领域的巨大潜力和有效性。

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