一类方程的混沌反控制及在图像加密中的应用  

Anti-control of chaos for equations and application image encryption

作　　者：郭玉祥[1] 张硕[2] 吴然超[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039 [2]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《计算机工程与设计》2010年第16期3689-3692,共4页Computer Engineering and Design

基　　金：安徽省自然科学基金项目(070416225);安徽省高校省级自然科学基金重点项目(KJ2008A025)

摘　　要：为了研究一类方程的混沌反控制及其在图像加密中的应用问题,提出了基于延迟时间状态反馈控制的方法。设计了一个延迟反馈控制器,使得受控系统产生混沌行为,并用数据仿真给出了受控系统具有混沌特性的部分指标;同时根据小波变换,结合受控的混沌系统提出了一种图像加密方案。实验结果表明,该方案不但拥有较大的密钥空间,而且对密钥和明文相当敏感,具有优良的扩散性和扰乱性能,并能抵抗各种攻击。To study anti-control of chaos for the equations and the application image encryption,a method of state feedback control based on a little delay time is presented.By designing a delay feedback controller,the controlled system appeared chaotic behavior and gave its part of index from numerical simulation.At the same time,an image encryption algorithm based on the controlled chaotic systems and wavelet transform is put forward.The experimental results demonstrate that the encryption algorithm has not only a large key space but also a very sensitivity with respect to the secret key and the original image.The encryption algorithm proposed possesses perfect diffusion and confusion properties and it can resist the various attacks.

关 键 词：混沌系统 LYAPUNOV指数 功率谱 小波变换 图像加密 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]