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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MDPI AG
2023-12-01
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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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id | doaj.art-411d8e16fb5945c5b5b51c0cac519b27 |
institution | Directory Open Access Journal |
issn | 2072-666X |
language | English |
last_indexed | 2024-03-08T20:31:48Z |
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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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