多吸引子忆阻混沌系统在图像加密中的应用
Application of Multi-attractor Memristor Chaotic System in Image Encryption
代文鹏 1陈恒 2宋丽 1何娜 1杨鸿宇1
作者信息
- 1. 烟台科技学院,山东 烟台 265600
- 2. 西京学院,陕西 西安 710123
- 折叠
摘要
为增强图像加密安全性,基于Lorenz混沌系统设计了一种新型的多吸引子忆阻混沌系统.通过最大李雅普诺夫指数图、分岔图和双参复杂度图进行理论分析和仿真,结果显示该系统具有共存吸引子现象,验证了系统具有超混沌特点及对初始值的高敏感性.此外,利用该系统在高复杂度区间生成的混沌序列对图像矩阵进行扩散、置乱、旋转及循环处理,实现图像的加密.通过直方图、信息熵及相邻像素相关性分析,证实了该算法具有较高的加密性能.
Abstract
In order to enhance the security of image encryption,a new multi-attractor memristor chaotic system based on Lorenz chaotic system is designed.Through the theoretical analysis and simulation of the maximum Lyapunov exponent graph,the bifurcation graph and the two-parameter complexity graph,the author draws the conclusion that the system has the coexistence attractor phenomenon,and it is verified that the system is hyperchaotic and highly sensitive to the initial value.In addition,the chaotic sequence generated by the system in the high complexity region is used to diffuse,scramble,rotate and cycle the image matrix,so as to realize the image encryption.Through the analysis of histogram,information entropy and the correlation of adjacent pixels,the author confirms that the algorithm has high encryption performance.
关键词
多吸引子忆阻混沌系统/共存吸引子/图像加密Key words
muti-attractor memristor chaotic system/coexisting attractors/image encryption引用本文复制引用
基金项目
陕西省重点研发计划(2018GY-091)
西安市科技创新引导项目(201805043YD21CG27-2)
出版年
2024