基于一类复混沌系统的图像加密研究  

Research on Image Encryption Based on a Class of Complex Chaotic System

作　　者：杨文涛 叶欢 李子龙 陈鹏飞 王越 姜翠美 YANG Wen-tao;YE Huan;LI Zi-long;CHEN Peng-fei;WANG Yue;JIANG Cui-mei(School of Mathematics and Statistics,Qilu University of Technology(Shandong Academy of Sciences),Jinan 250353,China;Shandong Kaidio Electricity co.,Ltd,Taian 271000,China)

机构地区：[1]齐鲁工业大学(山东省科学院)数学与统计学院,济南250353 [2]山东凯迪欧电气有限公司,泰安271000

出　　处：《齐鲁工业大学学报》2021年第6期73-80,共8页Journal of Qilu University of Technology

基　　金：国家自然科学基金(11801292);山东省教育厅科研计划项目(J18KA352);国家大学生创新创业项目(S202010431028)。

摘　　要：基于对数字图像信息安全问题,构造了一个新的复混沌系统,利用耗散性、李雅普诺夫指数、平衡点的稳定性、初值敏感性等方法,对其进行动力学特征分析,分析结果表明,该复混沌系统具有良好的混沌特性。采用二维图像展成一维向量后的置乱方法和基于GF(2^(17))有限域来实现扩散处理方法,对该系统产生的混沌序列进行Matlab仿真,实现了基本数字图像加密,并对此加密方法进行安全性分析,分析结果表明,该加密方式对多种密文攻击具有较好的抵抗力。Based on the problem of digital image information security,a new complex chaotic system is constructed in this paper,and its dynamic characteristics are analyzed by means of dissipation,Lyapunov exponent,stability of equilibrium point,initial value sensitivity and so on.The results show that the complex chaotic system has good chaotic characteristics.By using the scrambling method after the two-dimensional image to expand into one-dimensional vector and the diffusion processing method based on finite field,the chaotic sequence generated by the system is simulated by Matlab,and the basic digital image encryption is realized,and the security of the encryption method is analyzed.The results show that the encryption method has good resistance to many kinds of ciphertext attacks.

关 键 词：复变形Rikitake系统 动力学分析 数字图像加密 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]