针对 Hopfield 神经网络非线性动力学的电磁辐射控制。

IF 2.7 2区 数学 Q1 MATHEMATICS, APPLIED Chaos Pub Date : 2024-07-01 DOI:10.1063/5.0194928
Wei Yao, Jia Fang, Fei Yu, Li Xiong, Lihong Tang, Jin Zhang, Yichuang Sun
{"title":"针对 Hopfield 神经网络非线性动力学的电磁辐射控制。","authors":"Wei Yao, Jia Fang, Fei Yu, Li Xiong, Lihong Tang, Jin Zhang, Yichuang Sun","doi":"10.1063/5.0194928","DOIUrl":null,"url":null,"abstract":"<p><p>Electromagnetic radiation (EMR) affects the dynamical behavior of the nervous system, and appropriate EMR helps to study the dynamic mechanism of the nervous system. This paper uses a sophisticated four-dimensional Hopfield neural network (HNN) model augmented with one or more memristors to simulate the effects of EMR. We focus on the chaotic dynamics of HNN under the influence of EMR. Complex dynamical behaviors are found and transient chaotic phenomena have the same initial value sensitivity, showing how transient chaos is affected by EMR. Multiperiodic phenomena induced by quasi-periodic alternations are found in the dual EMR, as well as the suppression properties of the dual EMR for system chaos. This implies that the dynamical behavior of the HNN system can be controlled by varying the amount of EMR or the number of affected neurons in the HNN. Finally, a strong validation of our proposed model is provided by Multisim and Field Programmable Gate Array(FPGA) hardware.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":null,"pages":null},"PeriodicalIF":2.7000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Electromagnetic radiation control for nonlinear dynamics of Hopfield neural networks.\",\"authors\":\"Wei Yao, Jia Fang, Fei Yu, Li Xiong, Lihong Tang, Jin Zhang, Yichuang Sun\",\"doi\":\"10.1063/5.0194928\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>Electromagnetic radiation (EMR) affects the dynamical behavior of the nervous system, and appropriate EMR helps to study the dynamic mechanism of the nervous system. This paper uses a sophisticated four-dimensional Hopfield neural network (HNN) model augmented with one or more memristors to simulate the effects of EMR. We focus on the chaotic dynamics of HNN under the influence of EMR. Complex dynamical behaviors are found and transient chaotic phenomena have the same initial value sensitivity, showing how transient chaos is affected by EMR. Multiperiodic phenomena induced by quasi-periodic alternations are found in the dual EMR, as well as the suppression properties of the dual EMR for system chaos. This implies that the dynamical behavior of the HNN system can be controlled by varying the amount of EMR or the number of affected neurons in the HNN. Finally, a strong validation of our proposed model is provided by Multisim and Field Programmable Gate Array(FPGA) hardware.</p>\",\"PeriodicalId\":9974,\"journal\":{\"name\":\"Chaos\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.7000,\"publicationDate\":\"2024-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chaos\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1063/5.0194928\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1063/5.0194928","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0

摘要

电磁辐射(EMR)会影响神经系统的动态行为,适当的电磁辐射有助于研究神经系统的动态机制。本文使用一个复杂的四维 Hopfield 神经网络(HNN)模型,并在其中增加了一个或多个记忆晶闸管,来模拟电磁辐射的影响。我们重点研究了 HNN 在电磁辐射影响下的混沌动力学。我们发现了复杂的动力学行为,并且瞬态混沌现象具有相同的初值敏感性,这表明了瞬态混沌是如何受到电磁辐射影响的。在双 EMR 中发现了准周期交替诱导的多周期现象,以及双 EMR 对系统混沌的抑制特性。这意味着 HNN 系统的动态行为可以通过改变 EMR 的量或 HNN 中受影响神经元的数量来控制。最后,Multisim 和现场可编程门阵列(FPGA)硬件为我们提出的模型提供了有力的验证。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Electromagnetic radiation control for nonlinear dynamics of Hopfield neural networks.

Electromagnetic radiation (EMR) affects the dynamical behavior of the nervous system, and appropriate EMR helps to study the dynamic mechanism of the nervous system. This paper uses a sophisticated four-dimensional Hopfield neural network (HNN) model augmented with one or more memristors to simulate the effects of EMR. We focus on the chaotic dynamics of HNN under the influence of EMR. Complex dynamical behaviors are found and transient chaotic phenomena have the same initial value sensitivity, showing how transient chaos is affected by EMR. Multiperiodic phenomena induced by quasi-periodic alternations are found in the dual EMR, as well as the suppression properties of the dual EMR for system chaos. This implies that the dynamical behavior of the HNN system can be controlled by varying the amount of EMR or the number of affected neurons in the HNN. Finally, a strong validation of our proposed model is provided by Multisim and Field Programmable Gate Array(FPGA) hardware.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Chaos
Chaos 物理-物理:数学物理
CiteScore
5.20
自引率
13.80%
发文量
448
审稿时长
2.3 months
期刊介绍: Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.
期刊最新文献
Bifurcation analysis of a two-neuron central pattern generator model for both oscillatory and convergent neuronal activities. Dynamics and control of two-dimensional discrete-time biological model incorporating weak Allee's effect. Evolution of trust in N-player trust games with loss assessment. Experimental studies of spiral wave teleportation in a light sensitive Belousov-Zhabotinsky system. Resilience of weighted networks with dynamical behavior against multi-node removal.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1