首页|一种纠缠混沌系统的动力学分析及在图像加密中的应用

一种纠缠混沌系统的动力学分析及在图像加密中的应用

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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.
Dynamic Analysis of an Entangled Chaotic System and Its Application in Image Encryption
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 MultisimI4,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.

Entangled Chaotic SystemCosine Entanglement TermImage Information Entropy

陈恒、代文鹏、焦方桐、李勇兴、颜廷洋

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西京学院机械工程学院,陕西西安 710123

烟台科技学院智能工程学院,山东烟台 265600

吉利商用车淄博基地电气设计部,山东淄博 255100

齐鲁理工学院智能制造与控制工程学院,山东济南 250200

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纠缠混沌系统 余弦纠缠项 图像信息熵

陕西省重点研发计划西安市科技创新引导项目

2018GY-091201805043YD21CG27-2

2024

温州大学学报(自然科学版)
温州大学

温州大学学报(自然科学版)

影响因子:0.184
ISSN:1674-3563
年,卷(期):2024.45(1)
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