Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators

Canale, Eduardo - Monzón, Pablo - Robledo, Franco

Resumen:

In this work, we give a complete presentation of the idea of synchronizing graphs for the Kuramoto model of coupled oscillators. We present the dynamical model and the main relationships between the system dynamics and the underlying interconnection topology. A synchronizing graph is an interconnection that ensures synchronization of all the oscillators for almost every initial condition. We present the main properties that help in the classification of synchronizing graphs and also some considerations about the structure of this family of graphs and the complexity of the classification task.


Detalles Bibliográficos
2011
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/41092
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Canale, Eduardo
author2 Monzón, Pablo
Robledo, Franco
author2_role author
author
author_facet Canale, Eduardo
Monzón, Pablo
Robledo, Franco
author_role author
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dc.creator.none.fl_str_mv Canale, Eduardo
Monzón, Pablo
Robledo, Franco
dc.date.accessioned.none.fl_str_mv 2023-11-14T17:04:14Z
dc.date.available.none.fl_str_mv 2023-11-14T17:04:14Z
dc.date.issued.es.fl_str_mv 2011
dc.date.submitted.es.fl_str_mv 20231114
dc.description.abstract.none.fl_txt_mv In this work, we give a complete presentation of the idea of synchronizing graphs for the Kuramoto model of coupled oscillators. We present the dynamical model and the main relationships between the system dynamics and the underlying interconnection topology. A synchronizing graph is an interconnection that ensures synchronization of all the oscillators for almost every initial condition. We present the main properties that help in the classification of synchronizing graphs and also some considerations about the structure of this family of graphs and the complexity of the classification task.
dc.identifier.citation.es.fl_str_mv Canale, E, Monzón, P, Robledo, F. “Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators”. International Journal of Control and Automation, 2011, v. 4, no.1.
dc.identifier.issn.es.fl_str_mv 2005-4297
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/41092
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv Science and Engineering Research Support Society
dc.relation.ispartof.es.fl_str_mv International Journal of Control and Automation, 2011, v. 4, no.1
dc.rights.license.none.fl_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:COLIBRI
instname:Universidad de la República
instacron:Universidad de la República
dc.title.none.fl_str_mv Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators
dc.type.es.fl_str_mv Artículo
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
description In this work, we give a complete presentation of the idea of synchronizing graphs for the Kuramoto model of coupled oscillators. We present the dynamical model and the main relationships between the system dynamics and the underlying interconnection topology. A synchronizing graph is an interconnection that ensures synchronization of all the oscillators for almost every initial condition. We present the main properties that help in the classification of synchronizing graphs and also some considerations about the structure of this family of graphs and the complexity of the classification task.
eu_rights_str_mv openAccess
format article
id COLIBRI_fa44f7aae2eeea7648256ac243731118
identifier_str_mv Canale, E, Monzón, P, Robledo, F. “Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators”. International Journal of Control and Automation, 2011, v. 4, no.1.
2005-4297
instacron_str Universidad de la República
institution Universidad de la República
instname_str Universidad de la República
language eng
language_invalid_str_mv en
network_acronym_str COLIBRI
network_name_str COLIBRI
oai_identifier_str oai:colibri.udelar.edu.uy:20.500.12008/41092
publishDate 2011
reponame_str COLIBRI
repository.mail.fl_str_mv mabel.seroubian@seciu.edu.uy
repository.name.fl_str_mv COLIBRI - Universidad de la República
repository_id_str 4771
rights_invalid_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
spelling 2023-11-14T17:04:14Z2023-11-14T17:04:14Z201120231114Canale, E, Monzón, P, Robledo, F. “Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators”. International Journal of Control and Automation, 2011, v. 4, no.1.2005-4297https://hdl.handle.net/20.500.12008/41092In this work, we give a complete presentation of the idea of synchronizing graphs for the Kuramoto model of coupled oscillators. We present the dynamical model and the main relationships between the system dynamics and the underlying interconnection topology. A synchronizing graph is an interconnection that ensures synchronization of all the oscillators for almost every initial condition. We present the main properties that help in the classification of synchronizing graphs and also some considerations about the structure of this family of graphs and the complexity of the classification task.Made available in DSpace on 2023-11-14T17:04:14Z (GMT). No. of bitstreams: 5 CMR11.pdf: 472231 bytes, checksum: 969d6b4e5ce8e672acd30e7802d34505 (MD5) license_text: 21936 bytes, checksum: 9833653f73f7853880c94a6fead477b1 (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) license.txt: 4194 bytes, checksum: 7f2e2c17ef6585de66da58d1bfa8b5e1 (MD5) Previous issue date: 2011enengScience and Engineering Research Support SocietyInternational Journal of Control and Automation, 2011, v. 4, no.1Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad De La República. (Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. 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spellingShingle Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators
Canale, Eduardo
status_str publishedVersion
title Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators
title_full Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators
title_fullStr Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators
title_full_unstemmed Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators
title_short Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators
title_sort Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators
url https://hdl.handle.net/20.500.12008/41092

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