On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling

Autores
Chialva, Ulises; Reartes, Walter
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A model for synchronization of coupled Nakano’s chaotic circuits is studied. The Nakano circuit consists of a simple RLC circuit with a switch voltage-depending reset rule which generates a discontinuous dynamics. Thus, the model that we study is a network of identical spiking oscillators with integrate-and-fire dynamics. The coupling between oscillators is linear, but the network is subject to a common regime of reset depending on the global state of the oscillator population. This constitutes the simplest way of build pulse-coupled networks with arbitrary topology for this type of oscillators, and it allows the emergence of synchronous states and different reset regimes. The main result is that under certain hypothesis over the weight matrix (that represents the network topology) the different reset regimes match and the formalism of the master stability function can be generalized in order to study the stability of the synchronous state and the discontinuous dynamic of the network. Also, the low dimensionality of the Nakano’s circuit allows to implement the saltation-matrix method and numerical simulations can be performed in order to analyze the role of the coupling mode in the synchronization regime of the network and the influence of the voltage-type variables.
Fil: Chialva, Ulises. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Reartes, Walter. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Materia
CHAOTIC CIRCUIT
COMPLEX NETWORKS
DISCONTINUOUS DYNAMICS
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:11336/133965
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/133965
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type couplingChialva, UlisesReartes, WalterCHAOTIC CIRCUITCOMPLEX NETWORKSDISCONTINUOUS DYNAMICSSYNCHRONIZATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A model for synchronization of coupled Nakano’s chaotic circuits is studied. The Nakano circuit consists of a simple RLC circuit with a switch voltage-depending reset rule which generates a discontinuous dynamics. Thus, the model that we study is a network of identical spiking oscillators with integrate-and-fire dynamics. The coupling between oscillators is linear, but the network is subject to a common regime of reset depending on the global state of the oscillator population. This constitutes the simplest way of build pulse-coupled networks with arbitrary topology for this type of oscillators, and it allows the emergence of synchronous states and different reset regimes. The main result is that under certain hypothesis over the weight matrix (that represents the network topology) the different reset regimes match and the formalism of the master stability function can be generalized in order to study the stability of the synchronous state and the discontinuous dynamic of the network. Also, the low dimensionality of the Nakano’s circuit allows to implement the saltation-matrix method and numerical simulations can be performed in order to analyze the role of the coupling mode in the synchronization regime of the network and the influence of the voltage-type variables.Fil: Chialva, Ulises. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Reartes, Walter. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaSpringer2020-06-13info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/133965Chialva, Ulises; Reartes, Walter; On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling; Springer; SN Applied Sciences; 2; 6; 13-6-2020; 1-102523-3971CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s42452-020-2828-7info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s42452-020-2828-7info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:32:48Zoai:ri.conicet.gov.ar:11336/133965instacron: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:34982025-09-29 10:32:48.385CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling
title On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling
spellingShingle On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling
Chialva, Ulises
CHAOTIC CIRCUIT
COMPLEX NETWORKS
DISCONTINUOUS DYNAMICS
SYNCHRONIZATION
title_short On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling
title_full On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling
title_fullStr On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling
title_full_unstemmed On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling
title_sort On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling
dc.creator.none.fl_str_mv Chialva, Ulises
Reartes, Walter
author Chialva, Ulises
author_facet Chialva, Ulises
Reartes, Walter
author_role author
author2 Reartes, Walter
author2_role author
dc.subject.none.fl_str_mv CHAOTIC CIRCUIT
COMPLEX NETWORKS
DISCONTINUOUS DYNAMICS
SYNCHRONIZATION
topic CHAOTIC CIRCUIT
COMPLEX NETWORKS
DISCONTINUOUS DYNAMICS
SYNCHRONIZATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A model for synchronization of coupled Nakano’s chaotic circuits is studied. The Nakano circuit consists of a simple RLC circuit with a switch voltage-depending reset rule which generates a discontinuous dynamics. Thus, the model that we study is a network of identical spiking oscillators with integrate-and-fire dynamics. The coupling between oscillators is linear, but the network is subject to a common regime of reset depending on the global state of the oscillator population. This constitutes the simplest way of build pulse-coupled networks with arbitrary topology for this type of oscillators, and it allows the emergence of synchronous states and different reset regimes. The main result is that under certain hypothesis over the weight matrix (that represents the network topology) the different reset regimes match and the formalism of the master stability function can be generalized in order to study the stability of the synchronous state and the discontinuous dynamic of the network. Also, the low dimensionality of the Nakano’s circuit allows to implement the saltation-matrix method and numerical simulations can be performed in order to analyze the role of the coupling mode in the synchronization regime of the network and the influence of the voltage-type variables.
Fil: Chialva, Ulises. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Reartes, Walter. Universidad Nacional del Sur. Departamento de Matemática; Argentina
description A model for synchronization of coupled Nakano’s chaotic circuits is studied. The Nakano circuit consists of a simple RLC circuit with a switch voltage-depending reset rule which generates a discontinuous dynamics. Thus, the model that we study is a network of identical spiking oscillators with integrate-and-fire dynamics. The coupling between oscillators is linear, but the network is subject to a common regime of reset depending on the global state of the oscillator population. This constitutes the simplest way of build pulse-coupled networks with arbitrary topology for this type of oscillators, and it allows the emergence of synchronous states and different reset regimes. The main result is that under certain hypothesis over the weight matrix (that represents the network topology) the different reset regimes match and the formalism of the master stability function can be generalized in order to study the stability of the synchronous state and the discontinuous dynamic of the network. Also, the low dimensionality of the Nakano’s circuit allows to implement the saltation-matrix method and numerical simulations can be performed in order to analyze the role of the coupling mode in the synchronization regime of the network and the influence of the voltage-type variables.
publishDate 2020
dc.date.none.fl_str_mv 2020-06-13
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/11336/133965
Chialva, Ulises; Reartes, Walter; On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling; Springer; SN Applied Sciences; 2; 6; 13-6-2020; 1-10
2523-3971
CONICET Digital
CONICET
url http://hdl.handle.net/11336/133965
identifier_str_mv Chialva, Ulises; Reartes, Walter; On global mechanisms of synchronization in networks of coupled chaotic circuits and the role of the voltage-type coupling; Springer; SN Applied Sciences; 2; 6; 13-6-2020; 1-10
2523-3971
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s42452-020-2828-7
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s42452-020-2828-7
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
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 13.070432

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