Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling

Employing memristors to mimic biological synapses and to describe electromagnetic induction effects attracts much attention in current researches. In this paper, a memristive Hindmarsh–Rose neuron model is proposed by using an electromagnetic inductive current involving quadratic memconductance to r...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Wu, Fuqiang [verfasserIn] Wang, Rubin [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Electromagnetic induction Energy Synchronization Hidden firing

Übergeordnetes Werk:	Enthalten in: No title available - 126
Übergeordnetes Werk:	volume:126

DOI / URN:	10.1016/j.cnsns.2023.107459

Katalog-ID:	ELV065317335

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245	1	0	\|a Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling
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520			\|a Employing memristors to mimic biological synapses and to describe electromagnetic induction effects attracts much attention in current researches. In this paper, a memristive Hindmarsh–Rose neuron model is proposed by using an electromagnetic inductive current involving quadratic memconductance to replace the adaptive current in the classical 3-D HR model. The memristive neuron shows hidden firing and coexisting state. The energy function of memristive neuron is deduced by the generalized Hamiltonian formalism. In particular, two memristive neurons with irregular firing reach phase synchronization under the electrical coupling, while achieve complete synchronization under the magnetic coupling. The coupled neurons operate with economy energy in the region of whether complete synchronization or phase synchronization. Corresponding results are further demonstrated by designing digital circuit. These theoretical investigations can better choose appropriate model to explore dynamics of larger-scale neuronal network.
650		4	\|a Electromagnetic induction
650		4	\|a Energy
650		4	\|a Synchronization
650		4	\|a Hidden firing
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allfields	10.1016/j.cnsns.2023.107459 doi (DE-627)ELV065317335 (ELSEVIER)S1007-5704(23)00380-5 DE-627 ger DE-627 rda eng Wu, Fuqiang verfasserin aut Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Employing memristors to mimic biological synapses and to describe electromagnetic induction effects attracts much attention in current researches. In this paper, a memristive Hindmarsh–Rose neuron model is proposed by using an electromagnetic inductive current involving quadratic memconductance to replace the adaptive current in the classical 3-D HR model. The memristive neuron shows hidden firing and coexisting state. The energy function of memristive neuron is deduced by the generalized Hamiltonian formalism. In particular, two memristive neurons with irregular firing reach phase synchronization under the electrical coupling, while achieve complete synchronization under the magnetic coupling. The coupled neurons operate with economy energy in the region of whether complete synchronization or phase synchronization. Corresponding results are further demonstrated by designing digital circuit. These theoretical investigations can better choose appropriate model to explore dynamics of larger-scale neuronal network. Electromagnetic induction Energy Synchronization Hidden firing Wang, Rubin verfasserin aut Enthalten in No title available 126 (DE-627)352827580 1007-5704 nnns volume:126 GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 126
spelling	10.1016/j.cnsns.2023.107459 doi (DE-627)ELV065317335 (ELSEVIER)S1007-5704(23)00380-5 DE-627 ger DE-627 rda eng Wu, Fuqiang verfasserin aut Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Employing memristors to mimic biological synapses and to describe electromagnetic induction effects attracts much attention in current researches. In this paper, a memristive Hindmarsh–Rose neuron model is proposed by using an electromagnetic inductive current involving quadratic memconductance to replace the adaptive current in the classical 3-D HR model. The memristive neuron shows hidden firing and coexisting state. The energy function of memristive neuron is deduced by the generalized Hamiltonian formalism. In particular, two memristive neurons with irregular firing reach phase synchronization under the electrical coupling, while achieve complete synchronization under the magnetic coupling. The coupled neurons operate with economy energy in the region of whether complete synchronization or phase synchronization. Corresponding results are further demonstrated by designing digital circuit. These theoretical investigations can better choose appropriate model to explore dynamics of larger-scale neuronal network. Electromagnetic induction Energy Synchronization Hidden firing Wang, Rubin verfasserin aut Enthalten in No title available 126 (DE-627)352827580 1007-5704 nnns volume:126 GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 126
allfields_unstemmed	10.1016/j.cnsns.2023.107459 doi (DE-627)ELV065317335 (ELSEVIER)S1007-5704(23)00380-5 DE-627 ger DE-627 rda eng Wu, Fuqiang verfasserin aut Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Employing memristors to mimic biological synapses and to describe electromagnetic induction effects attracts much attention in current researches. In this paper, a memristive Hindmarsh–Rose neuron model is proposed by using an electromagnetic inductive current involving quadratic memconductance to replace the adaptive current in the classical 3-D HR model. The memristive neuron shows hidden firing and coexisting state. The energy function of memristive neuron is deduced by the generalized Hamiltonian formalism. In particular, two memristive neurons with irregular firing reach phase synchronization under the electrical coupling, while achieve complete synchronization under the magnetic coupling. The coupled neurons operate with economy energy in the region of whether complete synchronization or phase synchronization. Corresponding results are further demonstrated by designing digital circuit. These theoretical investigations can better choose appropriate model to explore dynamics of larger-scale neuronal network. Electromagnetic induction Energy Synchronization Hidden firing Wang, Rubin verfasserin aut Enthalten in No title available 126 (DE-627)352827580 1007-5704 nnns volume:126 GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 126
allfieldsGer	10.1016/j.cnsns.2023.107459 doi (DE-627)ELV065317335 (ELSEVIER)S1007-5704(23)00380-5 DE-627 ger DE-627 rda eng Wu, Fuqiang verfasserin aut Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Employing memristors to mimic biological synapses and to describe electromagnetic induction effects attracts much attention in current researches. In this paper, a memristive Hindmarsh–Rose neuron model is proposed by using an electromagnetic inductive current involving quadratic memconductance to replace the adaptive current in the classical 3-D HR model. The memristive neuron shows hidden firing and coexisting state. The energy function of memristive neuron is deduced by the generalized Hamiltonian formalism. In particular, two memristive neurons with irregular firing reach phase synchronization under the electrical coupling, while achieve complete synchronization under the magnetic coupling. The coupled neurons operate with economy energy in the region of whether complete synchronization or phase synchronization. Corresponding results are further demonstrated by designing digital circuit. These theoretical investigations can better choose appropriate model to explore dynamics of larger-scale neuronal network. Electromagnetic induction Energy Synchronization Hidden firing Wang, Rubin verfasserin aut Enthalten in No title available 126 (DE-627)352827580 1007-5704 nnns volume:126 GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 126
allfieldsSound	10.1016/j.cnsns.2023.107459 doi (DE-627)ELV065317335 (ELSEVIER)S1007-5704(23)00380-5 DE-627 ger DE-627 rda eng Wu, Fuqiang verfasserin aut Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Employing memristors to mimic biological synapses and to describe electromagnetic induction effects attracts much attention in current researches. In this paper, a memristive Hindmarsh–Rose neuron model is proposed by using an electromagnetic inductive current involving quadratic memconductance to replace the adaptive current in the classical 3-D HR model. The memristive neuron shows hidden firing and coexisting state. The energy function of memristive neuron is deduced by the generalized Hamiltonian formalism. In particular, two memristive neurons with irregular firing reach phase synchronization under the electrical coupling, while achieve complete synchronization under the magnetic coupling. The coupled neurons operate with economy energy in the region of whether complete synchronization or phase synchronization. Corresponding results are further demonstrated by designing digital circuit. These theoretical investigations can better choose appropriate model to explore dynamics of larger-scale neuronal network. Electromagnetic induction Energy Synchronization Hidden firing Wang, Rubin verfasserin aut Enthalten in No title available 126 (DE-627)352827580 1007-5704 nnns volume:126 GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 126
language	English
source	Enthalten in No title available 126 volume:126
sourceStr	Enthalten in No title available 126 volume:126
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institution	findex.gbv.de
topic_facet	Electromagnetic induction Energy Synchronization Hidden firing
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authorswithroles_txt_mv	Wu, Fuqiang @@aut@@ Wang, Rubin @@aut@@
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author	Wu, Fuqiang
spellingShingle	Wu, Fuqiang misc Electromagnetic induction misc Energy misc Synchronization misc Hidden firing Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling
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topic_title	Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling Electromagnetic induction Energy Synchronization Hidden firing
topic	misc Electromagnetic induction misc Energy misc Synchronization misc Hidden firing
topic_unstemmed	misc Electromagnetic induction misc Energy misc Synchronization misc Hidden firing
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title	Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling
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title_full	Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling
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title_sort	synchronization in memristive hr neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling
title_auth	Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling
abstract	Employing memristors to mimic biological synapses and to describe electromagnetic induction effects attracts much attention in current researches. In this paper, a memristive Hindmarsh–Rose neuron model is proposed by using an electromagnetic inductive current involving quadratic memconductance to replace the adaptive current in the classical 3-D HR model. The memristive neuron shows hidden firing and coexisting state. The energy function of memristive neuron is deduced by the generalized Hamiltonian formalism. In particular, two memristive neurons with irregular firing reach phase synchronization under the electrical coupling, while achieve complete synchronization under the magnetic coupling. The coupled neurons operate with economy energy in the region of whether complete synchronization or phase synchronization. Corresponding results are further demonstrated by designing digital circuit. These theoretical investigations can better choose appropriate model to explore dynamics of larger-scale neuronal network.
abstractGer	Employing memristors to mimic biological synapses and to describe electromagnetic induction effects attracts much attention in current researches. In this paper, a memristive Hindmarsh–Rose neuron model is proposed by using an electromagnetic inductive current involving quadratic memconductance to replace the adaptive current in the classical 3-D HR model. The memristive neuron shows hidden firing and coexisting state. The energy function of memristive neuron is deduced by the generalized Hamiltonian formalism. In particular, two memristive neurons with irregular firing reach phase synchronization under the electrical coupling, while achieve complete synchronization under the magnetic coupling. The coupled neurons operate with economy energy in the region of whether complete synchronization or phase synchronization. Corresponding results are further demonstrated by designing digital circuit. These theoretical investigations can better choose appropriate model to explore dynamics of larger-scale neuronal network.
abstract_unstemmed	Employing memristors to mimic biological synapses and to describe electromagnetic induction effects attracts much attention in current researches. In this paper, a memristive Hindmarsh–Rose neuron model is proposed by using an electromagnetic inductive current involving quadratic memconductance to replace the adaptive current in the classical 3-D HR model. The memristive neuron shows hidden firing and coexisting state. The energy function of memristive neuron is deduced by the generalized Hamiltonian formalism. In particular, two memristive neurons with irregular firing reach phase synchronization under the electrical coupling, while achieve complete synchronization under the magnetic coupling. The coupled neurons operate with economy energy in the region of whether complete synchronization or phase synchronization. Corresponding results are further demonstrated by designing digital circuit. These theoretical investigations can better choose appropriate model to explore dynamics of larger-scale neuronal network.
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title_short	Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling
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doi_str	10.1016/j.cnsns.2023.107459
up_date	2024-07-06T22:36:30.571Z
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Synchronization in memristive HR neurons with hidden coexisting firing and lower energy under electrical and magnetic coupling

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