基于多共存吸引子的图像加密算法  

Image Encryption Algorithm Based on Multiple Coexisting Attractors

作　　者：刘欢 常举越 LIU Huan;CHANG Juyue(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,甘肃兰州730070

出　　处：《新乡学院学报》2025年第3期14-22,共9页Journal of Xinxiang University

摘　　要：基于经典混沌理论构造了一个全新的具有多共存吸引子的忆阻混沌系统,分析了其动力学特性。设计了图像加密和解密算法,并进行了图像加密和解密实验。通过计算密钥空间及敏感性、直方图、相邻像素相关性、信息熵和差分攻击分析了加密算法的安全性。结果表明,所设计的加密算法具有较大的密钥空间、良好的加密效果和抵挡外部攻击的能力,比其他加密算法更有效和实用。A new memristive chaotic system with multiple coexisting attractors is constructed based on classical chaos theory,and its dynamic characteristics were analyzed.Image encryption and decryption algorithms are designed,and experiments on image encryption and decryption are conducted.The security of the encryption algorithm is analyzed by calculating the key space and sensitivity,histogram,adjacent pixel correlation,information entropy,and differential attack.The results showed that the encryption algorithm has a large key space,good encryption effect,and the ability to resist external attacks,making it more effective and practical than other encryption algorithms.

关 键 词：多重共存吸引子 混沌系统 图像加密和解密 关键空间 差动攻击 

分 类 号：O231[理学—运筹学与控制论] TP309.7[理学—数学]