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一种纠缠混沌系统在图像加密中的应用

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基于纠缠混沌系统原理,构建了一种包含正弦纠缠项的纠缠混沌系统.利用Matlab软件对系统的李雅普诺夫指数(LE)、分岔图和功率谱图等动态特性进行了理论分析,得到系统高敏感特性参数区间.为了验证电路原理的可行性,基于Multisim电路仿真软件进行了实验仿真,证明了所设计的纠缠混沌电路在电路原理上的可操作性.最后,利用该系统产生的混沌序列与DNA算法在敏感参数区间上对图像进行加密,加密后图像的信息熵高达7.993,灰度直方图分布较为均匀,相邻像素间关联性低,相关系数趋近于0,说明该纠缠混沌系统安全性能优良,在图像加密领域具有较高的应用价值.
Application of an Entangled Chaotic System in Image Encryption
Based on the principle of entanglement chaotic system,a kind of entanglement chaotic system with sinusoidal entanglement term is constructed.The dynamic characteristics of the system,including Lyapunov exponent(LE),bifurcation diagram and power spectrum,are analyzed by MATLAB software.In order to verify the feasibility of the circuit principle,experiments were carried out based on the Multi-sim circuit simulation software,and the operability of the circuit principle was proved.Finally,the chaotic sequence generated by the system is combined with DNA algorithm to encrypt the image,and the encryp-tion is realized in the sensitive parameter range.The information entropy of the encrypted image is as high as 7.993,the histogram of gray scale is uniform,the correlation between adjacent pixels is low,and the correlation coefficient approaches 0,which shows that the security of the entangled chaotic system is good,the field of image encryption has high application value and high security performance.

entangled chaotic systemimage encryptiondynamics

代文鹏、陈恒、宋丽、李勇兴、何娜

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烟台科技学院海洋工程学院,山东烟台 265600

西京学院机械工程学院,陕西西安 710123

纠缠混沌系统 图像加密 动力学

陕西省重点研发计划西安市科技创新引导项目陶瓷工业粉尘超低排放及回收利用技术示范项目

2018GY-091201805043YD21CG27-22017134SF/WM028

2024

吉首大学学报(自然科学版)
吉首大学

吉首大学学报(自然科学版)

影响因子:0.451
ISSN:1007-2985
年,卷(期):2024.45(2)
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