基于忆阻自激振荡系统的图像加密算法  

Image Encryption Algorithm Based on the Self-excitation Oscillation System

作　　者：李寒 安新磊[1] 刘思洋 王越 LI Han;AN Xinlei;LIU Siyang;WANG Yue(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,兰州730070

出　　处：《复杂系统与复杂性科学》2025年第1期154-160,共7页Complex Systems and Complexity Science

基　　金：甘肃省自然科学基金(23JRRA861;24JRRA291)。

摘　　要：探究了一种新型的四维忆阻自激振荡系统,该系统的特点是将忆阻器引入到电路中,因此形成的系统混沌性更强。分别从相图、分岔图、Lyapunov指数谱等方面对该系统进行分析,研究结果说明该系统具有复杂的动力学行为,从而对图像加密有较强的应用性。在该系统基础上运用Arnold算法置乱,然后用扩散算法对图像进行加密。通过Matlab绘制出直方图、相邻像素图,并进行了多方面安全分析,该算法各项指标均接近理论值。结果表明该算法安全性很高。A novel four-dimensional memristor self-excited oscillation system is introduced in this paper.The most important feature of the system is the introduction of a memristor into the circuit,thereby the chaos of the system is stronger.In this paper,the system is analyzed in terms of the phase diagram,bifurcation diagram,and Lyapunov exponent spectrum.The results indicate that the system reveals complex dynamic phenomena and the chaotic sequence generated by the iterative system has strong randomness,which is suitable for image encryption.Based on this system,the Arnold scrambling algorithm and the diffusion algorithm are used to encrypt the image.Then the histograms and adjacent pixel maps of the new system are plotted through numerical simulations.Histograms and adjacent pixel maps are drawn using Matlab,and various safety analyses are carried out.All indicators of this algorithm are close to theoretical values.The results indicate that image encryption applications have high safety performance.

关 键 词：忆阻器 图像加密 ARNOLD置乱 异或运算 扩散 

分 类 号：Q415.5[生物学—生理学] TP391.9[自动化与计算机技术—计算机应用技术]