吉首大学学报(自然科学版) ›› 2024, Vol. 45 ›› Issue (2): 24-34.DOI: 10.13438/j.cnki.jdzk.2024.02.004

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一种纠缠混沌系统在图像加密中的应用

代文鹏,陈恒,宋丽,李勇兴,何娜   

  1. (1.烟台科技学院海洋工程学院,山东 烟台 265600;2.西京学院机械工程学院,陕西 西安 710123)
  • 出版日期:2024-03-25 发布日期:2024-04-16
  • 通讯作者: 陈恒(1965—),男,陕西西安人,西京学院机械工程学院副教授,博士,主要从事机器人技术研究.E-mail:1801028515@qq.com.
  • 作者简介:代文鹏(1991—),男,山东潍坊人,烟台科技学院海洋工程学院助教,硕士,主要从事混沌控制研究
  • 基金资助:
    陕西省重点研发计划(2018GY-091);西安市科技创新引导项目(201805043YD21CG27-2);陶瓷工业粉尘超低排放及回收利用技术示范项目(2017134SF/WM028)

Application of an Entangled Chaotic System in Image Encryption

DAI Wenpeng,CHEN Heng,SONG Li,LI Yongxing,HE Na   

  1. (1.School of Ocean Engineering,Yantai Institute of Science and Technology,Yantai 265600,Shandong China;2.School of Mechanical Engineering,Xijing University,Xi’an 710123,Shanxi China)
  • Online:2024-03-25 Published:2024-04-16

摘要: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.

关键词: 纠缠混沌系统, 图像加密, 动力学

Abstract: 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 Multisim 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 encryption 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.

Key words: entangled chaotic system, image encryption, dynamics

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