时滞混沌系统的动力学分析及其在图像加密中的应用
Dynamic Analysis of a Time-Delay Chaotic System and Its Application in Image Encryption
丛陈依 1曲婧佳 2张鑫1
作者信息
- 1. 南京财经大学应用数学学院,江苏 南京 210023
- 2. 长春师范大学数学学院,吉林 长春 130032
- 折叠
摘要
对于一个新的混沌系统,首先对其相应的时滞混沌系统,在平衡点处进行稳定性分析和Hopf分岔分析,选定参数进行数值模拟,验证系统的稳定性会随着时滞在时滞分岔点附近的改变而变化.其次将该混沌系统应用到图像加密中,利用混沌系统对初始条件的高度敏感性的特殊性质生成密码,进而完成加密图像的目的.最后通过Matlab软件仿真,重点分析了加密直方图、相邻像素相关性,观察其具有良好的图像加密效果.
Abstract
For a new chaos system with time delay,firstly,the stability analysis and Hopf bifurcation analysis of the equilibrium point of it are carried out in the paper,and numerical simulation shows that the change of time-delay near the time-delay-bifurcation point will affect the stability of the system.Secondly,the chaos system is applied to image encryption,the specific property of its sensitivity to ini-tial conditions is used to generate password,and then the purpose of transmitting the information encryption.Lastly,through simulation using the Matlab,focusing on the analysis of the encrypted histogram and the correlation between adjacent pixels,we find its good image encryption effect.
关键词
混沌系统/时滞/稳定性/Hopf分岔/图像加密Key words
chaos system/time-delay/stability/Hopf bifurcation/image encryption引用本文复制引用
出版年
2024
NETL
NSTL
万方数据