一种新的多涡卷混沌模型在图像加密中的应用

提出了一种能产生多涡卷的5阶超混沌系统，分析了该系统的平衡点、耗散性、Lyapunov指数等基本动力学特性.应用该混沌系统产生的伪随机序列构建随机矩阵和扩散矩阵，并对图像像素进行置乱和扩散，得到加密图像.在MATLAB平台进行了密钥空间分析、密钥敏感性分析、相关性分析、信息熵分析和抗剪切分析等.实验结果表明：本算法能够有效地抵御攻击，具有良好的加密效果.

A novel multi-scroll chaotic system and its application in image encryption

In this paper， a novel five-dimensional hyperchaotic system is proposed， which can generate multi-scroll chaotic attractors. The dynamics of the chaotic system are studied numerically and theoretically， such as equilibrium point， dissipativity and Lyapunov exponent. To get the encrypted image， diffusion matrix and replacement based on the chaotic system，matrix are designed， which are used for substituting and diffusing the images.Security analyses including key sensitivity analysis， key space analysis， statistical analysis， information entropy analysis and anti-cutting analysis are performed in matlab. The experimental results demonstrate that the proposed image encryption scheme can resist various attacks and shows better security and effectiveness.