Coexisting Firing Patterns in an Improved Memristive Hindmarsh–Rose Neuron Model with Multi-Frequency Alternating Current Injection

With the development of memristor theory, the application of memristor in the field of the nervous system has achieved remarkable results and has bright development prospects. Flux-controlled memristor can be used to describe the magnetic induction effect of the neuron. Based on the Hindmarsh–Rose (...

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Main Authors: Mengjiao Wang, Jie Ding, Bingqing Deng, Shaobo He, Herbert Ho-Ching Iu
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/14/12/2233
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author Mengjiao Wang
Jie Ding
Bingqing Deng
Shaobo He
Herbert Ho-Ching Iu
author_facet Mengjiao Wang
Jie Ding
Bingqing Deng
Shaobo He
Herbert Ho-Ching Iu
author_sort Mengjiao Wang
collection DOAJ
description With the development of memristor theory, the application of memristor in the field of the nervous system has achieved remarkable results and has bright development prospects. Flux-controlled memristor can be used to describe the magnetic induction effect of the neuron. Based on the Hindmarsh–Rose (HR) neuron model, a new HR neuron model is proposed by introducing a flux-controlled memristor and a multi-frequency excitation with high–low frequency current superimposed. Various firing patterns under single and multiple stimuli are investigated. The model can exhibit different coexisting firing patterns. In addition, when the memristor coupling strength changes, the multiple stability of the model is eliminated, which is a rare phenomenon. Moreover, an analog circuit is built to verify the numerical simulation results.
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spelling doaj.art-411d8e16fb5945c5b5b51c0cac519b272023-12-22T14:25:29ZengMDPI AGMicromachines2072-666X2023-12-011412223310.3390/mi14122233Coexisting Firing Patterns in an Improved Memristive Hindmarsh–Rose Neuron Model with Multi-Frequency Alternating Current InjectionMengjiao Wang0Jie Ding1Bingqing Deng2Shaobo He3Herbert Ho-Ching Iu4School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, ChinaSchool of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, ChinaSchool of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, ChinaSchool of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, ChinaSchool of Electrical, Electronic and Computer Engineering, University of Western Australia, Crawley, WA 6009, AustraliaWith the development of memristor theory, the application of memristor in the field of the nervous system has achieved remarkable results and has bright development prospects. Flux-controlled memristor can be used to describe the magnetic induction effect of the neuron. Based on the Hindmarsh–Rose (HR) neuron model, a new HR neuron model is proposed by introducing a flux-controlled memristor and a multi-frequency excitation with high–low frequency current superimposed. Various firing patterns under single and multiple stimuli are investigated. The model can exhibit different coexisting firing patterns. In addition, when the memristor coupling strength changes, the multiple stability of the model is eliminated, which is a rare phenomenon. Moreover, an analog circuit is built to verify the numerical simulation results.https://www.mdpi.com/2072-666X/14/12/2233flux-controlled memristormagnetic inductionHindmarsh–Rose neuron modelcoexisting firing pattern
spellingShingle Mengjiao Wang
Jie Ding
Bingqing Deng
Shaobo He
Herbert Ho-Ching Iu
Coexisting Firing Patterns in an Improved Memristive Hindmarsh–Rose Neuron Model with Multi-Frequency Alternating Current Injection
Micromachines
flux-controlled memristor
magnetic induction
Hindmarsh–Rose neuron model
coexisting firing pattern
title Coexisting Firing Patterns in an Improved Memristive Hindmarsh–Rose Neuron Model with Multi-Frequency Alternating Current Injection
title_full Coexisting Firing Patterns in an Improved Memristive Hindmarsh–Rose Neuron Model with Multi-Frequency Alternating Current Injection
title_fullStr Coexisting Firing Patterns in an Improved Memristive Hindmarsh–Rose Neuron Model with Multi-Frequency Alternating Current Injection
title_full_unstemmed Coexisting Firing Patterns in an Improved Memristive Hindmarsh–Rose Neuron Model with Multi-Frequency Alternating Current Injection
title_short Coexisting Firing Patterns in an Improved Memristive Hindmarsh–Rose Neuron Model with Multi-Frequency Alternating Current Injection
title_sort coexisting firing patterns in an improved memristive hindmarsh rose neuron model with multi frequency alternating current injection
topic flux-controlled memristor
magnetic induction
Hindmarsh–Rose neuron model
coexisting firing pattern
url https://www.mdpi.com/2072-666X/14/12/2233
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