Negative Resistance Circuit for Damping an Array of Coupled FitzHugh-Nagumo Oscillators

Arūnas Tamaševičius; Elena Adomaitienė; Skaidra Bumelienė; Gytis Mykolaitis; Erik Lindberg

Negative Resistance Circuit for Damping an Array of Coupled FitzHugh-Nagumo Oscillators

Arūnas Tamaševičius, Elena Adomaitienė, Skaidra Bumelienė, Gytis Mykolaitis, Erik Lindberg

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Abstract

An analog circuit, based on a negative impedance converter and a capacitor, for damping oscillations in an array of mean-field coupled neuronal FitzHugh–Nagumo (FHN) type oscillators is described. The circuit is essentially a two-terminal feedback controller. When coupled to an array of the FHN oscillators, it stabilizes their unstable steady states. Both, numerical simulations and hardware experiments with the analog electronic circuits have been performed. The results for an array, composed of three mean-field coupled FHN oscillators, are presented.

Original language	English
Title of host publication	Proceedings of ECCTD 2015
Number of pages	4
Publisher	IEEE
Publication date	2015
ISBN (Print)	978-1-4799-9877-7
Publication status	Published - 2015
Event	2015 European Conference on Circuit Theory and Design - Trondheim, Norway Duration: 24 Aug 2015 → 26 Aug 2015 Conference number: 22

Conference

Conference	2015 European Conference on Circuit Theory and Design
Number	22
Country/Territory	Norway
City	Trondheim
Period	24/08/2015 → 26/08/2015

Keywords

Negative resistance
FitzHug
Nagumo oscillators
Steady states

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title = "Negative Resistance Circuit for Damping an Array of Coupled FitzHugh-Nagumo Oscillators",

abstract = "An analog circuit, based on a negative impedance converter and a capacitor, for damping oscillations in an array of mean-field coupled neuronal FitzHugh–Nagumo (FHN) type oscillators is described. The circuit is essentially a two-terminal feedback controller. When coupled to an array of the FHN oscillators, it stabilizes their unstable steady states. Both, numerical simulations and hardware experiments with the analog electronic circuits have been performed. The results for an array, composed of three mean-field coupled FHN oscillators, are presented.",

keywords = "Negative resistance, FitzHug, Nagumo oscillators, Steady states",

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year = "2015",

language = "English",

isbn = "978-1-4799-9877-7",

booktitle = "Proceedings of ECCTD 2015",

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address = "United States",

note = "2015 European Conference on Circuit Theory and Design, ECCTD 2015 ; Conference date: 24-08-2015 Through 26-08-2015",

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T1 - Negative Resistance Circuit for Damping an Array of Coupled FitzHugh-Nagumo Oscillators

AU - Tamaševičius, Arūnas

AU - Adomaitienė, Elena

AU - Bumelienė, Skaidra

AU - Mykolaitis, Gytis

AU - Lindberg, Erik

N1 - Conference code: 22

PY - 2015

Y1 - 2015

N2 - An analog circuit, based on a negative impedance converter and a capacitor, for damping oscillations in an array of mean-field coupled neuronal FitzHugh–Nagumo (FHN) type oscillators is described. The circuit is essentially a two-terminal feedback controller. When coupled to an array of the FHN oscillators, it stabilizes their unstable steady states. Both, numerical simulations and hardware experiments with the analog electronic circuits have been performed. The results for an array, composed of three mean-field coupled FHN oscillators, are presented.

AB - An analog circuit, based on a negative impedance converter and a capacitor, for damping oscillations in an array of mean-field coupled neuronal FitzHugh–Nagumo (FHN) type oscillators is described. The circuit is essentially a two-terminal feedback controller. When coupled to an array of the FHN oscillators, it stabilizes their unstable steady states. Both, numerical simulations and hardware experiments with the analog electronic circuits have been performed. The results for an array, composed of three mean-field coupled FHN oscillators, are presented.

KW - Negative resistance

KW - FitzHug

KW - Nagumo oscillators

KW - Steady states

M3 - Article in proceedings

SN - 978-1-4799-9877-7

BT - Proceedings of ECCTD 2015

PB - IEEE

T2 - 2015 European Conference on Circuit Theory and Design

Y2 - 24 August 2015 through 26 August 2015

ER -

Negative Resistance Circuit for Damping an Array of Coupled FitzHugh-Nagumo Oscillators

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