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时滞混沌系统的动力学分析及其在图像加密中的应用

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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.
Dynamic Analysis of a Time-Delay Chaotic System and Its Application in Image Encryption
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.

chaos systemtime-delaystabilityHopf bifurcationimage encryption

丛陈依、曲婧佳、张鑫

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南京财经大学应用数学学院,江苏 南京 210023

长春师范大学数学学院,吉林 长春 130032

混沌系统 时滞 稳定性 Hopf分岔 图像加密

2024

长春师范大学学报
长春师范学院

长春师范大学学报

CHSSCD
影响因子:0.312
ISSN:1008-178X
年,卷(期):2024.43(8)