一类多涡卷Chua系统及其在图像加密中的应用  

A Multi-scroll Chua System and Its Application in Image Encryption

作　　者：刘思洋 安新磊[1] 施倩倩 王越 LIU Siyang;AN Xinlei;SHI Qianqian;WANG Yue(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,兰州730070

出　　处：《复杂系统与复杂性科学》2024年第3期85-92,共8页Complex Systems and Complexity Science

基　　金：国家自然科学基金(11962012)。

摘　　要：为使混沌序列表现出更复杂的特性,在典型的Chua系统上引入了分段线性函数,使所得的系统产生可控数量的多涡卷吸引子。对该系统进行动力学分析,分析结果表明,该系统混沌特性分布广泛,具有丰富的动力学行为。在此基础上,提出了一种基于Zigzag置乱和DNA编码的加密算法,并从多个方面对该算法的安全性进行了分析。仿真结果验证了该方法不仅能对图像进行有效加密,而且能有效抵抗各种常见的攻击,为图像加密提供了理论依据。In order to make the chaotic sequence show more complex characteristics,a piecewise linear function is introduced into the typical Chua’s system to produce a controllable number of multi-scroll attractors.The dynamic analysis of this system is performed,and the results illustrate that the chaotic characteristics of the system are widely distributed and have rich dynamic behaviors.On this basis,an encryption algorithm based on Zigzag scrambling and DNA coding is proposed,and its security is analyzed from multiple aspects.The simulation results indicate that this method can not only encrypt the image effectively,but also resist a variety of common attacks effectively,which provides a theoretical basis for image encryption.

关 键 词：多涡卷Chua系统 混沌序列 图像加密 Zigzag置乱 DNA编码 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术] O415.5[自动化与计算机技术—计算机科学与技术]