{"title":"基于忆阻器的 CNN 混沌系统的电路设计与图像加密","authors":"Jie Zhang, Enze Liu","doi":"10.1140/epjb/s10051-024-00743-y","DOIUrl":null,"url":null,"abstract":"<div><p>A new general-purpose voltage-controlled memristor with a fourth power term is designed in this paper. Based on this memristor, a new four-dimensional chaotic system, the memristor cell neural network (CNN) chaotic system, is constructed with complex dynamic characteristics, high spectral entropy complexity (SE), and wavelet entropy complexity (<i>C</i><sub>0</sub>). Combination with analysis including phase portraits, equilibrium points, dissipativity, Lyapunov exponent spectrum, bifurcation diagrams, transient phenomena, spectral entropy complexity (SE), and wavelet entropy complexity (<i>C</i><sub>0</sub>), the dynamic characteristics of the new system are thoroughly explored. Constructed analog circuits for the new memristor and new memristor CNN chaotic system, and a digital circuit is implemented using a field-programmable gate array. Combining the new memristor CNN chaotic system with DNA encoding operations for image encryption applications, its excellent encryption effectiveness and high security are discovered through analysis of key sensitivity, histogram, information entropy, correlation, keyspace, and robustness.</p><h3>Graphical abstract</h3>\n<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":null,"pages":null},"PeriodicalIF":1.6000,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Circuit design and image encryption of CNN chaotic system based on memristor\",\"authors\":\"Jie Zhang, Enze Liu\",\"doi\":\"10.1140/epjb/s10051-024-00743-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A new general-purpose voltage-controlled memristor with a fourth power term is designed in this paper. Based on this memristor, a new four-dimensional chaotic system, the memristor cell neural network (CNN) chaotic system, is constructed with complex dynamic characteristics, high spectral entropy complexity (SE), and wavelet entropy complexity (<i>C</i><sub>0</sub>). Combination with analysis including phase portraits, equilibrium points, dissipativity, Lyapunov exponent spectrum, bifurcation diagrams, transient phenomena, spectral entropy complexity (SE), and wavelet entropy complexity (<i>C</i><sub>0</sub>), the dynamic characteristics of the new system are thoroughly explored. Constructed analog circuits for the new memristor and new memristor CNN chaotic system, and a digital circuit is implemented using a field-programmable gate array. Combining the new memristor CNN chaotic system with DNA encoding operations for image encryption applications, its excellent encryption effectiveness and high security are discovered through analysis of key sensitivity, histogram, information entropy, correlation, keyspace, and robustness.</p><h3>Graphical abstract</h3>\\n<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>\",\"PeriodicalId\":787,\"journal\":{\"name\":\"The European Physical Journal B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2024-07-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal B\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjb/s10051-024-00743-y\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, CONDENSED MATTER\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal B","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjb/s10051-024-00743-y","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
引用次数: 0
摘要
本文设计了一种具有四次幂项的新型通用电压控制忆阻器。以该忆阻器为基础，构建了一个具有复杂动态特性、高谱熵复杂度（SE）和小波熵复杂度（C0）的新型四维混沌系统--忆阻器单元神经网络（CNN）混沌系统。结合相位描绘、平衡点、耗散性、Lyapunov 指数谱、分岔图、瞬态现象、谱熵复杂度（SE）和小波熵复杂度（C0）等分析，深入探讨了新系统的动态特性。构建了新型忆阻器和新型忆阻器 CNN 混沌系统的模拟电路，并利用现场可编程门阵列实现了数字电路。通过对密钥灵敏度、直方图、信息熵、相关性、密钥空间和鲁棒性的分析，将新型忆阻器 CNN 混沌系统与 DNA 编码操作相结合，用于图像加密应用，发现了其卓越的加密效果和高安全性。 图摘
Circuit design and image encryption of CNN chaotic system based on memristor
A new general-purpose voltage-controlled memristor with a fourth power term is designed in this paper. Based on this memristor, a new four-dimensional chaotic system, the memristor cell neural network (CNN) chaotic system, is constructed with complex dynamic characteristics, high spectral entropy complexity (SE), and wavelet entropy complexity (C0). Combination with analysis including phase portraits, equilibrium points, dissipativity, Lyapunov exponent spectrum, bifurcation diagrams, transient phenomena, spectral entropy complexity (SE), and wavelet entropy complexity (C0), the dynamic characteristics of the new system are thoroughly explored. Constructed analog circuits for the new memristor and new memristor CNN chaotic system, and a digital circuit is implemented using a field-programmable gate array. Combining the new memristor CNN chaotic system with DNA encoding operations for image encryption applications, its excellent encryption effectiveness and high security are discovered through analysis of key sensitivity, histogram, information entropy, correlation, keyspace, and robustness.
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