一种新型离散忆阻混沌系统及其图像加密应用

A Novel Discrete Memristive Chaotic System and Its Image Encryption Application

将改进型余弦离散忆阻器与Cubic映射耦合,得到新的离散忆阻混沌系统.通过不动点等方法分析新系统,发现其动力学行为丰富,特定条件下处超混沌状态.利用新系统所产生的混沌序列,设计了基于循环移位、双向扩散和全局置换的图像加密方案.该加密方案采用迭代结构,并在扩散过程前后安排了不同的置乱过程.为了提高图像加密效率,在扩散过程中,采用一种新颖的双向扩散策略.密钥空间分析、直方图分析、相关性分析、密钥敏感性分析、差分攻击分析、数据损失分析和信息熵分析表明,该方案具有极高的安全性和实用性.

This paper couples the improved cosine discrete memristor with Cubic map to obtain a new discrete memristive chaotic system.Using methods such as fixed points to analyze the new system,it is found that its dynamic behaviors are rich,and it is hyperchaotic under certain conditions.Utilizing the chaotic sequences generated by the new system,an image encryption scheme based on cyclic shift,two-way diffusion and global permutation is designed.This scheme adopts an iterative structure and arranges different scrambling processes before and after the diffusion process.In order to improve the efficiency of image encryption,a novel two-way diffusion strategy is adopted in the diffusion process.The key space analysis,histogram analysis,correlation analysis,key sensitivity analysis,differential attack analysis,data loss analysis and information entropy analysis show that this scheme has extremely high security and practicality.