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具有四次非线性忆阻器的新型多涡卷神经网络在医学数字图像水印中的动态分析与应用

Dynamic analysis and application in medical digital image watermarking of a new multi-scroll neural network with quartic nonlinear memristor.

作者信息

Yu Fei, Chen Huifeng, Kong Xinxin, Yu Qiulin, Cai Shuo, Huang Yuanyuan, Du Sichun

机构信息

School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, 410114 China.

College of Computer Science and Electronic Engineering, Hunan University, Changsha, 410082 China.

出版信息

Eur Phys J Plus. 2022;137(4):434. doi: 10.1140/epjp/s13360-022-02652-4. Epub 2022 Apr 7.

DOI:10.1140/epjp/s13360-022-02652-4
PMID:35411291
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8988118/
Abstract

Memristor is widely used in various neural bionic models because of its excellent characteristics in biological neural activity simulation. In this paper, a piecewise nonlinear function is used to transform the quartic memristor, which is introduced into the ternary Hopfield neural network (HNN) with self-feedback, and a piecewise quartic memristive chaotic neural network model with multi-scroll is constructed. Through simulation analysis, the number of scroll layers changes with memristor parameters and has significant coexistence of multi-scroll attractors and high initial value sensitivity has been found. Using its excellent unpredictability, a digital watermarking algorithm based on wavelet transform is improved and used in the protection of personal medical data. The results show that it not only improves the confidentiality and convenience, but also ensures its robustness and has good encryption effect.

摘要

忆阻器因其在生物神经活动模拟方面的优异特性而被广泛应用于各种神经仿生模型中。本文采用分段非线性函数对四次忆阻器进行变换,将其引入具有自反馈的三元霍普菲尔德神经网络(HNN),构建了一种具有多涡卷的分段四次忆阻混沌神经网络模型。通过仿真分析发现,涡卷层数随忆阻器参数变化,存在多涡卷吸引子的显著共存现象,且具有较高的初值敏感性。利用其良好的不可预测性,对基于小波变换的数字水印算法进行改进,并将其应用于个人医疗数据保护。结果表明,该算法不仅提高了保密性和便利性,还保证了其鲁棒性,具有良好的加密效果。

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Electromagnetic induction effects on electrical activity within a memristive Wilson neuron model.电磁感应对忆阻型威尔逊神经元模型内电活动的影响。
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