Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled Oscillators
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 interconnect...
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| Andre forfattere: | , |
| Format: | article |
| Sprog: | engelsk |
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2011
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| Online adgang: | https://hdl.handle.net/20.500.12008/41092 |
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| _version_ | 1868890243214606336 |
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| author | Canale, Eduardo |
| author2 | Monzón, Pablo Robledo, Franco |
| author2_role | author author |
| author_browse | Canale, Eduardo Monzón, Pablo Robledo, Franco |
| author_facet | Canale, Eduardo Monzón, Pablo Robledo, Franco |
| author_role | author |
| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Canale, Eduardo Monzón, Pablo Robledo, Franco |
| dc.date.none.fl_str_mv | 2011 2023-11-14T17:04:14Z 2023-11-14T17:04:14Z 20231114 |
| dc.identifier.none.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. 2005-4297 https://hdl.handle.net/20.500.12008/41092 |
| dc.language.none.fl_str_mv | en eng |
| dc.publisher.none.fl_str_mv | Science and Engineering Research Support Society |
| dc.relation.none.fl_str_mv | International Journal of Control and Automation, 2011, v. 4, no.1 |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| 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.none.fl_str_mv | Artículo info:eu-repo/semantics/article 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 | anni_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 | anni |
| network_name_str | oai-lr-anni |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/41092 |
| publishDate | 2011 |
| publishDateSort | 2011 |
| publisher.none.fl_str_mv | Science and Engineering Research Support Society |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Complexity aspects of the Classification of Synchronizing Graphs for Kuramoto Coupled OscillatorsCanale, EduardoMonzón, PabloRobledo, FrancoIn 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.Science and Engineering Research Support Society2023-11-14T17:04:14Z2023-11-14T17:04:14Z201120231114Artículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionCanale, 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/20.500.12008/41092reponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaenengInternational 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. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)oai:colibri.udelar.edu.uy:20.500.12008/410922026-04-14T10:40:09Z |
| 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 |