Abstract:For constructing a five-dimensional chaotic system with complex chaotic properties and improving the security of image data protection, this paper adopts a cubic nonlinear type magnetronic memristor as the feedback term of the system, combines a four-dimensional chaotic system with the memristor and adds a fixed constant term and a linear feedback controller to obtain a five-dimensional magnetronic memristor chaotic system, and the system generates a coexisting hidden attractor under the influence of a parameter, and it can observe the Limit rings, hidden attractors, weak chaos and other types of attractors are observed. A chaotic image encryption algorithm using chaotic sequence encryption is proposed in combination with the disruption-diffusion algorithm, and the experimental results show that the algorithm has high security.
李平, 夏磊, 范义刚, 钱锦. 五维磁控忆阻器混沌系统及其图像加密应用[J]. 复杂系统与复杂性科学, 2025, 22(3): 42-48.
LI Ping, XIA Lei, FAN Yigang, QIAN Jin. Five-dimensional Magnetically Controlled Memristor Chaotic System and Its Application to Image Encryption[J]. Complex Systems and Complexity Science, 2025, 22(3): 42-48.
[1] CHUA L. Memristor-the missing circuit element[J]. IEEE Transaction Circuit Theory, 1971, 18(5): 507-519. [2] STRUKOV D B, SNIDER G S, STEWART D R, et al. The missing memristor found[J]. Nature, 2008, 453(7191): 80-83. [3] 刘益安, 马瑞辰, 李国, 等. 负阻态忆阻Hopfield神经网络动力学[J]. 电子科技大学学报, 2023, 52(1): 38-43. LIU Y A, MA R C, LI G, et al. Dynamics of negative-resistance Hopfield neural networks[J]. Journal of the University of Electronic Science and Technology, 2023, 52(1):38-43. [4] 张宇琦, 王俊杰, 吕子玉, 等. 应用于感存算一体化系统的多模调控忆阻器[J]. 物理学报, 2022, 71(14): 321-337. ZHANG Y Q, WANG J J, LV Z Y, et al. A multimode modulated memristor for integrated sensory-storage and computation systems[J]. Journal of Physics, 2022, 71(14):321-337. [5] 闵富红, 王珠林, 王恩荣, 等. 新型忆阻器混沌电路及其在图像加密中的应用[J]. 电子与信息学报, 2016, 38(10):2681-2688. MIN F H, WANG Z L, WANG E R, et al. Novel amnesia-resistor chaotic circuit and its application in image encryption[J]. Journal of Electronics and Information, 2016, 38(10): 2681-2688. [6] ZHOU Y, LONG B, CHEN C. A new 1D chaotic system for image encryption[J]. Signal Processing, 2014, 97(4): 172-182. [7] 张洁, 徐龙昊, 尹宝全. 有源磁控忆阻超混沌电路实现及图像加密[J]. 计算机工程与科学, 2022, 44(8): 1392-1401. ZHANG J, XU L H, YIN B Q. Active magneto-resistive hyperchaotic circuit implementation and image encryption[J]. Computer Engineering and Science, 2022, 44(8):1392-1401. [8] 孙亮, 罗佳, 乔印虎. 局部有源忆阻器电路及其在HR耦合神经元网络中的应用[J]. 电子与信息学报, 2021, 43(11): 3374-3383. SUN L, LUO J, QIAO Y H. Localized active memristor circuits and their applications in HR-coupled neuronal networks[J]. Journal of Electronics and Information, 2021, 43(11): 3374-3383. [9] FAN Y, HUANG X, WANG Z, et al. Nonlinear dynamics and chaos in a simplified memristor-based fractional-order neural network with discontinuous memductance function[J]. Nonlinear Dynamics, 2018, 93(2): 611-627. [10] LIN H Z, HUA Z Y, BAO H, et al. Two-Dimensional memristive hyperchaotic maps and application in secure communication[J]. IEEE Transactions on Industrial Electronics, 2021, 68(10): 9931-9940. [11] 闵国旗, 王丽丹, 段书凯. 离子迁移忆阻混沌电路及其在语音保密通信中的应用[J]. 物理学报, 2015, 64(21): 251-263. MIN G Q, WANG L D, DUAN S K. Ionmigration amnesia-resistance chaotic circuits and their applications in voice secured communication[J]. Journal of Physics, 2015, 64(21): 251-263. [12] 李石磊, 刘崇新, 胡晓宇, 等. 用于保密通信的高安全性混沌振荡器[J]. 西安交通大学学报, 2017, 51(6): 35-40. LI S L, LIU C X, HU X Y, et al. A high-security chaotic oscillator for secure communication[J]. Journal of Xi′an Jiaotong University, 2017, 51(6): 35-40. [13] MUTHUSWAMY B. Implementing memristor based chaotic circuits[J]. International Journal of Bifurcation & Chaos, 2010, 20(5): 1335-1350. [14] JIN P, WANG G, IU H C, et al. A locally-active memristor and its application in chaotic circuit[J]. IEEE Transactions on Circuits & Systems II Express Briefs, 2018, 65(2): 246-250. [15] 谭志平, 曾以成, 李志军, 等. 浮地型忆阻器混沌电路的分析与实现[J]. 仪器仪表学报, 2014, 35(9): 2123-2129. TAN Z P, ZENG Y C, LI Z J, et al. Analysis and implementation of chaotic circuits for floating-earth memristors[J]. Journal of Instrumentation, 2014, 35(9): 2123-2129. [16] 董哲康, 段书凯, 胡小方. 非线性忆阻器的串并联研究及在图像处理中的应用[J]. 西南大学学报:自然科学版, 2015, 37(2): 153-161. DONG Z K, DUAN S K, HU X F. Research on series-parallel connection of nonlinear memristors and its application in image processing[J]. Journal of Southwestern University: Natural Science Edition, 2015, 37(2): 153-161. [17] AB A, KR B, AJMK C, et al. Dynamical analysis of a new multistable chaotic system with hidden attractor: antimonotonicity, coexisting multiple attractors, and offset boosting[J]. Physics Letters A, 2019, 383(13): 1450-1456. [18] 陈宝文, 陈彦安. 基于Arnold变换与混沌系统的位级图像加密[J]. 信息通信, 2020(10): 36-39. CHEN B W, CHEN Y A. Bit-level image encryption based on Arnold transform and chaotic system[J]. Information Communication, 2020(10): 36-39. [19] 程东升, 谭旭, 许志良, 等. 结合四维超混沌系统和位分解的图像加密算法研究[J]. 电子科技大学学报, 2018, 47(6): 906-912. CHENG D S, TAN X, XU Z L, et al. Research on image encryption algorithm combining four-dimensional hyperchaotic system and bit decomposition[J]. Journal of the University of Electronic Science and Technology, 2018, 47(6): 906-912. [20] ZHANG S, LIU L. A novel image encryption algorithm based on SPWLCM and DNA coding[J]. Mathematics and Computers in Simulation, 2021, 190(1): 723-744.