基于共存吸引子的图像加密算法  

Image Encryption Algorithm Based on Coexisting Attractor

作　　者：施倩倩 张莉[1] SHI Qianqian;ZHANG Li(College of Mathematics and Physics,Lanzhou Jiaotong University,Gansu Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《河北师范大学学报（自然科学版）》2022年第3期239-250,共12页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11962012)。

摘　　要：为了探究自激吸引子和隐藏吸引子共存系统的动力学特性,分析了其相图、分岔图、Lyapunov指数谱与谱熵复杂度.研究发现,该系统具有较大的复杂度值且其混沌状态分布在较大的参数范围内,说明由该系统迭代产生的混沌序列具有强的随机性,进而更适合应用于图像加密中.为此,设计了一种基于共存吸引子的图像加密算法.采用改进的Zigzag算法置乱明文图像的像素点位置,然后利用混沌系统迭代产生的混沌序列,通过加取模运算对置乱后图像的像素值进行扩散处理,得到加密图像.通过密钥空间、密钥敏感性、直方图、相邻像素间相关性、信息熵以及差分攻击等分析了加密算法的安全性能.实验结果表明,所设计的加密算法不仅能够有效地加密图像而且具有较高的安全性能.In order to investigate the dynamic characteristics of the coexistence system with self-excited attractor and hidden attractor,the phase diagram,bifurcation diagram,Lyapunov exponential spectrum and spectral entropy complexity are analyzed.It is found that the system has a large complexity value and its chaotic state is distributed in a large parameter range,which indicates that the chaotic sequence generated by the iteration of the system has a stronger randomness,so it is more suitable for image encryption.There-fore,an image encryption algorithm based on coexisting attractor is designed.The improved Zigzag algo-rithm is used to scramble the pixel position of the plaintext image,and then the chaotic sequence generated by the iteration of the chaotic system is used to diffuse the pixel value of the scrambled image by adding and taking the modular operation,and then the encryption image is obtained.The security performance of the designed algorithm is analyzed by key space,key sensitivity,histogram,correlation between adjacent pixels,information entropy and differential attack.Experimental results show that the designed encryption algorithm can not only encrypt images effectively,but also has a high security performance.

关 键 词：自激吸引子 隐藏吸引子 共存吸引子 图像加密算法 

分 类 号：O322[理学—一般力学与力学基础] TP309.7[理学—力学]