Phase Transition and Hysteresis in an Ensemble of Stochastic Spiking Neurons

An ensemble of stochastic nonleaky integrate-and-fire neurons with global, delayed, and excitatory coupling and a small refractory period is analyzed. Simulations with adiabatic changes of the coupling strength indicate the presence of a phase transition accompanied by a hysteresis around a critical...

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Detalles Bibliográficos
Autores: Kaltenbrunner, Andreas, Gómez, Vicenç, López, Vicente
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:España
Institución:Universitat Oberta de Catalunya (UOC)
Repositorio:O2, repositorio institucional de la UOC
OAI Identifier:oai:openaccess.uoc.edu:10609/150659
Acceso en línea:http://hdl.handle.net/10609/150659
https://doi.org/10.1162/neco.2007.19.11.3011
Access Level:acceso abierto
Palabra clave:phase transition
hysteresis
stochastic neurons
pulse coupled oscillators
self-organization
synchronization
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spelling Phase Transition and Hysteresis in an Ensemble of Stochastic Spiking NeuronsKaltenbrunner, AndreasGómez, VicençLópez, Vicentephase transitionhysteresisstochastic neuronspulse coupled oscillatorsself-organizationsynchronizationAn ensemble of stochastic nonleaky integrate-and-fire neurons with global, delayed, and excitatory coupling and a small refractory period is analyzed. Simulations with adiabatic changes of the coupling strength indicate the presence of a phase transition accompanied by a hysteresis around a critical coupling strength. Below the critical coupling production of spikes in the ensemble is governed by the stochastic dynamics, whereas for coupling greater than the critical value, the stochastic dynamics loses its influence and the units organize into several clusters with self-sustained activity. All units within one cluster spike in unison, and the clusters themselves are phase-locked. Theoretical analysis leads to upper and lower bounds for the average interspike interval of the ensemble valid for all possible coupling strengths. The bounds allow calculating the limit behavior for large ensembles and characterize the phase transition analytically. These results may be extensible to pulse-coupled oscillators.MIT Press202420242007info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/10609/150659https://doi.org/10.1162/neco.2007.19.11.3011reponame:O2, repositorio institucional de la UOCinstname:Universitat Oberta de Catalunya (UOC)InglésNeural Computation, 2007, 19(11)https://doi.org/10.1162/neco.2007.19.11.3011info:eu-repo/grantAgreement/UPF/CICyT/2008© 2007 Massachusetts Institute of Technologyinfo:eu-repo/semantics/openAccessoai:openaccess.uoc.edu:10609/1506592026-05-28T12:42:01Z
dc.title.none.fl_str_mv Phase Transition and Hysteresis in an Ensemble of Stochastic Spiking Neurons
title Phase Transition and Hysteresis in an Ensemble of Stochastic Spiking Neurons
spellingShingle Phase Transition and Hysteresis in an Ensemble of Stochastic Spiking Neurons
Kaltenbrunner, Andreas
phase transition
hysteresis
stochastic neurons
pulse coupled oscillators
self-organization
synchronization
title_short Phase Transition and Hysteresis in an Ensemble of Stochastic Spiking Neurons
title_full Phase Transition and Hysteresis in an Ensemble of Stochastic Spiking Neurons
title_fullStr Phase Transition and Hysteresis in an Ensemble of Stochastic Spiking Neurons
title_full_unstemmed Phase Transition and Hysteresis in an Ensemble of Stochastic Spiking Neurons
title_sort Phase Transition and Hysteresis in an Ensemble of Stochastic Spiking Neurons
dc.creator.none.fl_str_mv Kaltenbrunner, Andreas
Gómez, Vicenç
López, Vicente
author Kaltenbrunner, Andreas
author_facet Kaltenbrunner, Andreas
Gómez, Vicenç
López, Vicente
author_role author
author2 Gómez, Vicenç
López, Vicente
author2_role author
author
dc.subject.none.fl_str_mv phase transition
hysteresis
stochastic neurons
pulse coupled oscillators
self-organization
synchronization
topic phase transition
hysteresis
stochastic neurons
pulse coupled oscillators
self-organization
synchronization
description An ensemble of stochastic nonleaky integrate-and-fire neurons with global, delayed, and excitatory coupling and a small refractory period is analyzed. Simulations with adiabatic changes of the coupling strength indicate the presence of a phase transition accompanied by a hysteresis around a critical coupling strength. Below the critical coupling production of spikes in the ensemble is governed by the stochastic dynamics, whereas for coupling greater than the critical value, the stochastic dynamics loses its influence and the units organize into several clusters with self-sustained activity. All units within one cluster spike in unison, and the clusters themselves are phase-locked. Theoretical analysis leads to upper and lower bounds for the average interspike interval of the ensemble valid for all possible coupling strengths. The bounds allow calculating the limit behavior for large ensembles and characterize the phase transition analytically. These results may be extensible to pulse-coupled oscillators.
publishDate 2007
dc.date.none.fl_str_mv 2007
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10609/150659
https://doi.org/10.1162/neco.2007.19.11.3011
url http://hdl.handle.net/10609/150659
https://doi.org/10.1162/neco.2007.19.11.3011
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Neural Computation, 2007, 19(11)
https://doi.org/10.1162/neco.2007.19.11.3011
info:eu-repo/grantAgreement/UPF/CICyT/2008
dc.rights.none.fl_str_mv © 2007 Massachusetts Institute of Technology
info:eu-repo/semantics/openAccess
rights_invalid_str_mv © 2007 Massachusetts Institute of Technology
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv MIT Press
publisher.none.fl_str_mv MIT Press
dc.source.none.fl_str_mv reponame:O2, repositorio institucional de la UOC
instname:Universitat Oberta de Catalunya (UOC)
instname_str Universitat Oberta de Catalunya (UOC)
reponame_str O2, repositorio institucional de la UOC
collection O2, repositorio institucional de la UOC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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