摘要
根据纠缠混沌系统的原理,构建了一种含有余弦纠缠项的纠缠混沌系统,运用李雅普诺夫指数、分岔图及功率谱图等对系统参数变化的动力学特性进行了理论分析,数值仿真发现了该系统参数敏感特性高的混沌区间,从而验证了该系统的动力学性能.为了实现该电路原理的应用,基于Multisim 14软件设计了纠缠混沌系统电路,证明了该纠缠混沌电路设计在实际工程上的可操作性.最后,进一步应用该系统对图像进行加密,利用敏感特性参数区间混沌序列,结合DNA算法,对图像的信息熵、直方图及像素相关性进行分析证明,Matlab仿真结果表明所提出的纠缠混沌系统具有较高的应用价值及安全性能.
Based on the principle of the entangled chaotic system,an entangled chaotic system with cosine entanglement was constructed.By using Lyapunov exponent,bifurcation diagram and power spectrum,the dynamic characteristics of the system parameters change were analyzed theoretically.Numerical simulations identified chaotic intervals with high parameter sensitivity of the system,and verified the dynamic performance of the system.In order to realize the application of the circuit principle,the circuit of the entangled chaotic system was designed based on the software Multisim14,and the operability of the entangled chaotic circuit design in practical engineering was proved.Finally,the system was further applied to encrypt the image,and the information entropy,histogram and pixel correlation of the image were analyzed and proved by using the interval chaotic sequence of sensitive characteristic parameters and DNA algorithm.MATLAB simulation results showed that the proposed entangled chaotic system had high application value and security performance.
作者
陈恒
代文鹏
焦方桐
李勇兴
颜廷洋
CHEN Heng;DAI Wenpeng;JIAO Fangtong;LI Yongxing;YAN Tingyang(School of Mechanical Engineering,Xijing University,Xi’an,China 710123;School of Intelligent Engineering,Yantai Institute of Science and Technology,Yantai,China 265600;Electrical Design Division,Geely CommercialVehicle Zibo Base,Zibo,China 255100;School of Intelligent Manufacturing and Control Engineering,Qilu Institute of Technology,Jinan,China 250200)
出处
《温州大学学报（自然科学版）》
2024年第1期22-32,共11页
Journal of Wenzhou University(Natural Science Edition)
基金
陕西省重点研发计划(2018GY-091)
西安市科技创新引导项目(201805043YD21CG27-2)。
关键词
纠缠混沌系统
余弦纠缠项
图像信息熵
Entangled Chaotic System
Cosine Entanglement Term
Image Information Entropy
