基于超混沌数学理论的图像加密方法研究

界定了混沌的概念,依据Lypunov指数构建了混沌系统判别方法.深入剖析了Lorenz混沌系统数学模型、吸引子特征,进而构建了四维Lorenz混沌系统,即Lorenz超混沌系统.相比于Lorenz混沌系统,Lorenz超混沌系统非线性更强、运行轨迹更加随机,适用于图像加密.实验结果表明,基于Lorenz超混沌系统构建的图像加密方法,加密结果中像素均匀置乱,三向相关性低.

On Image Encryption Method Based on Hyper Chaos Theory

The concept of chaos has been defined,and the method of chaos system been established based on Lypunov exponent.The mathematical model and attractor characteristics of Lorenz chaotic system have deeply been analyzed,and then the four-dimensional Lorenz chaotic system been constructed,which is called Lorenz hyperchaotic system.Compared with the Lorenz chaotic system,the Lorenz hyperchaotic system is more nonlinear and more random,so it is suitable for image encryption.The experimental results show that the image encryption method based on the Lorenz hyperchaotic system,the results of the encryption of the pixels in a row,three directional correlation.