Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements

Autores
Sanchez, Alejandro Daniel; Izus, Gonzalo Gregorio
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study an array of N units with FitzHugh Nagumo dynamics linearly coupled. The system is submitted to a subthreshold harmonic signal and independent Gaussian white noises with a common intensity . In the limit of adiabatic driving, we analytically calculate the system´s nonequilibrium potential for arbitrary linear coupling. We illustrate its applicability by investigating noise-induced effects in an excitable regular network with extended antiphase coupling. In particular, the levels of noise for short-wavelength phaseinstability, network´s synchronization and depinning of "defects" (groups of contiguous inhibited neurons on an antiphase background) are theoretically predicted and numerically confirmed. The origin of these collective effects and the dependence with parameters of the most probable length of defects are explained in terms of the system´s nonequilibrium potential.
Fil: Sanchez, Alejandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Izus, Gonzalo Gregorio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Materia
Networks
FitzHugh-Nagumo
Synchronization
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/241224
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elementsSanchez, Alejandro DanielIzus, Gonzalo GregorioNetworksFitzHugh-NagumoSynchronizationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study an array of N units with FitzHugh Nagumo dynamics linearly coupled. The system is submitted to a subthreshold harmonic signal and independent Gaussian white noises with a common intensity . In the limit of adiabatic driving, we analytically calculate the system´s nonequilibrium potential for arbitrary linear coupling. We illustrate its applicability by investigating noise-induced effects in an excitable regular network with extended antiphase coupling. In particular, the levels of noise for short-wavelength phaseinstability, network´s synchronization and depinning of "defects" (groups of contiguous inhibited neurons on an antiphase background) are theoretically predicted and numerically confirmed. The origin of these collective effects and the dependence with parameters of the most probable length of defects are explained in terms of the system´s nonequilibrium potential.Fil: Sanchez, Alejandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Izus, Gonzalo Gregorio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaElsevier Science2010-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/241224Sanchez, Alejandro Daniel; Izus, Gonzalo Gregorio; Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 389; 9; 1-2010; 1931-19440378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437110000452info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2010.01.013info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:04:34Zoai:ri.conicet.gov.ar:11336/241224instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:04:35.285CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements
title Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements
spellingShingle Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements
Sanchez, Alejandro Daniel
Networks
FitzHugh-Nagumo
Synchronization
title_short Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements
title_full Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements
title_fullStr Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements
title_full_unstemmed Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements
title_sort Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements
dc.creator.none.fl_str_mv Sanchez, Alejandro Daniel
Izus, Gonzalo Gregorio
author Sanchez, Alejandro Daniel
author_facet Sanchez, Alejandro Daniel
Izus, Gonzalo Gregorio
author_role author
author2 Izus, Gonzalo Gregorio
author2_role author
dc.subject.none.fl_str_mv Networks
FitzHugh-Nagumo
Synchronization
topic Networks
FitzHugh-Nagumo
Synchronization
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study an array of N units with FitzHugh Nagumo dynamics linearly coupled. The system is submitted to a subthreshold harmonic signal and independent Gaussian white noises with a common intensity . In the limit of adiabatic driving, we analytically calculate the system´s nonequilibrium potential for arbitrary linear coupling. We illustrate its applicability by investigating noise-induced effects in an excitable regular network with extended antiphase coupling. In particular, the levels of noise for short-wavelength phaseinstability, network´s synchronization and depinning of "defects" (groups of contiguous inhibited neurons on an antiphase background) are theoretically predicted and numerically confirmed. The origin of these collective effects and the dependence with parameters of the most probable length of defects are explained in terms of the system´s nonequilibrium potential.
Fil: Sanchez, Alejandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Izus, Gonzalo Gregorio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
description We study an array of N units with FitzHugh Nagumo dynamics linearly coupled. The system is submitted to a subthreshold harmonic signal and independent Gaussian white noises with a common intensity . In the limit of adiabatic driving, we analytically calculate the system´s nonequilibrium potential for arbitrary linear coupling. We illustrate its applicability by investigating noise-induced effects in an excitable regular network with extended antiphase coupling. In particular, the levels of noise for short-wavelength phaseinstability, network´s synchronization and depinning of "defects" (groups of contiguous inhibited neurons on an antiphase background) are theoretically predicted and numerically confirmed. The origin of these collective effects and the dependence with parameters of the most probable length of defects are explained in terms of the system´s nonequilibrium potential.
publishDate 2010
dc.date.none.fl_str_mv 2010-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/241224
Sanchez, Alejandro Daniel; Izus, Gonzalo Gregorio; Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 389; 9; 1-2010; 1931-1944
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/241224
identifier_str_mv Sanchez, Alejandro Daniel; Izus, Gonzalo Gregorio; Nonequilibrium potential for arbitrary-connected networks of FitzHugh–Nagumo elements; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 389; 9; 1-2010; 1931-1944
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437110000452
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2010.01.013
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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