A 6D Fractional-Order Memristive Hopfield Neural Network and its Application in Image Encryption

This paper proposes a new memristor model and uses pinched hysteresis loops (PHL) to prove the memristor characteristics of the model. Then, a new 6D fractional-order memristive Hopfield neural network (6D-FMHNN) is presented by using this memristor to simulate the induced current, and the bifurcati...

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Main Authors: Fei Yu, Xinxin Kong, Huifeng Chen, Qiulin Yu, Shuo Cai, Yuanyuan Huang, Sichun Du
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-03-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2022.847385/full
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author Fei Yu
Xinxin Kong
Huifeng Chen
Qiulin Yu
Shuo Cai
Yuanyuan Huang
Sichun Du
author_facet Fei Yu
Xinxin Kong
Huifeng Chen
Qiulin Yu
Shuo Cai
Yuanyuan Huang
Sichun Du
author_sort Fei Yu
collection DOAJ
description This paper proposes a new memristor model and uses pinched hysteresis loops (PHL) to prove the memristor characteristics of the model. Then, a new 6D fractional-order memristive Hopfield neural network (6D-FMHNN) is presented by using this memristor to simulate the induced current, and the bifurcation characteristics and coexistence attractor characteristics of fractional memristor Hopfield neural network is studied. Because this 6D-FMHNN has chaotic characteristics, we also use this 6D-FMHNN to generate a random number and apply it to the field of image encryption. We make a series of analysis on the randomness of random numbers and the security of image encryption, and prove that the encryption algorithm using this 6D-FMHNN is safe and sensitive to the key.
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spelling doaj.art-6ddb6baf550649af98f5a09e39014ed92022-12-22T01:00:37ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-03-011010.3389/fphy.2022.847385847385A 6D Fractional-Order Memristive Hopfield Neural Network and its Application in Image EncryptionFei Yu0Xinxin Kong1Huifeng Chen2Qiulin Yu3Shuo Cai4Yuanyuan Huang5Sichun Du6School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, ChinaCollege of Computer Science and Electronic Engineering, Hunan University, Changsha, ChinaThis paper proposes a new memristor model and uses pinched hysteresis loops (PHL) to prove the memristor characteristics of the model. Then, a new 6D fractional-order memristive Hopfield neural network (6D-FMHNN) is presented by using this memristor to simulate the induced current, and the bifurcation characteristics and coexistence attractor characteristics of fractional memristor Hopfield neural network is studied. Because this 6D-FMHNN has chaotic characteristics, we also use this 6D-FMHNN to generate a random number and apply it to the field of image encryption. We make a series of analysis on the randomness of random numbers and the security of image encryption, and prove that the encryption algorithm using this 6D-FMHNN is safe and sensitive to the key.https://www.frontiersin.org/articles/10.3389/fphy.2022.847385/fullchaotic systemfractional-orderHopfield neural networkmemristorbifurcationimage encryption
spellingShingle Fei Yu
Xinxin Kong
Huifeng Chen
Qiulin Yu
Shuo Cai
Yuanyuan Huang
Sichun Du
A 6D Fractional-Order Memristive Hopfield Neural Network and its Application in Image Encryption
Frontiers in Physics
chaotic system
fractional-order
Hopfield neural network
memristor
bifurcation
image encryption
title A 6D Fractional-Order Memristive Hopfield Neural Network and its Application in Image Encryption
title_full A 6D Fractional-Order Memristive Hopfield Neural Network and its Application in Image Encryption
title_fullStr A 6D Fractional-Order Memristive Hopfield Neural Network and its Application in Image Encryption
title_full_unstemmed A 6D Fractional-Order Memristive Hopfield Neural Network and its Application in Image Encryption
title_short A 6D Fractional-Order Memristive Hopfield Neural Network and its Application in Image Encryption
title_sort 6d fractional order memristive hopfield neural network and its application in image encryption
topic chaotic system
fractional-order
Hopfield neural network
memristor
bifurcation
image encryption
url https://www.frontiersin.org/articles/10.3389/fphy.2022.847385/full
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