On the characterization of families of synchronizing graphs of Kuramoto Coupled Oscillators
Resumen:
Kuramoto model of coupled oscillators represents situations where several individual agents interact and reach a collective behavior. The interaction is naturally described by a interconnection graph. Frequently, the desired performance is the synchronization of all the agents. Almost global synchronization means that the desire objective is reached for every initial conditions, with the possible exception of a zero Lebesgue measure set. This is a useful concept, specially when global synchronization can not be stated, due, for example, to the existence of multiple equilibria. In this survey article, we give an analysis of the influence of the interconnection graph on this dynamical property. We present in a ordered way several known and new results that help on the characterization of what we have called synchronizing topologies.
| 2009 | |
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Nonlinear analysis Oscillators Global stability Coupled devices |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
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https://hdl.handle.net/20.500.12008/38656
https://doi.org/10.3182/20090924-3-IT-4005.00008 |
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| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522933576302592 |
|---|---|
| author | Canale, Eduardo |
| author2 | Monzón, Pablo |
| author2_role | author |
| author_facet | Canale, Eduardo Monzón, Pablo |
| author_role | author |
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| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Canale, Eduardo Monzón, Pablo |
| dc.date.accessioned.none.fl_str_mv | 2023-08-01T20:33:12Z |
| dc.date.available.none.fl_str_mv | 2023-08-01T20:33:12Z |
| dc.date.issued.es.fl_str_mv | 2009 |
| dc.date.submitted.es.fl_str_mv | 20230801 |
| dc.description.abstract.none.fl_txt_mv | Kuramoto model of coupled oscillators represents situations where several individual agents interact and reach a collective behavior. The interaction is naturally described by a interconnection graph. Frequently, the desired performance is the synchronization of all the agents. Almost global synchronization means that the desire objective is reached for every initial conditions, with the possible exception of a zero Lebesgue measure set. This is a useful concept, specially when global synchronization can not be stated, due, for example, to the existence of multiple equilibria. In this survey article, we give an analysis of the influence of the interconnection graph on this dynamical property. We present in a ordered way several known and new results that help on the characterization of what we have called synchronizing topologies. |
| dc.identifier.citation.es.fl_str_mv | Canale, E, Monzón, P. “On the characterization of Families of Synchronizing Graphs of Kuramoto Coupled Oscillators”. Proceedings of the 1st IFAC Workshop on Estimation and Control of Networked Systems, Venice, Italy, 2009. https://doi.org/10.3182/20090924-3-IT-4005.00008 |
| dc.identifier.doi.es.fl_str_mv | https://doi.org/10.3182/20090924-3-IT-4005.00008 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/38656 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | IFAC |
| dc.relation.ispartof.es.fl_str_mv | 1st IFAC Workshop on Estimation and Control of Networked Systems, Venice, Italy, 2009 |
| 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.subject.es.fl_str_mv | Nonlinear analysis Oscillators Global stability Coupled devices |
| dc.title.none.fl_str_mv | On the characterization of families of synchronizing graphs of Kuramoto Coupled Oscillators |
| dc.type.es.fl_str_mv | Ponencia |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/conferenceObject |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | Kuramoto model of coupled oscillators represents situations where several individual agents interact and reach a collective behavior. The interaction is naturally described by a interconnection graph. Frequently, the desired performance is the synchronization of all the agents. Almost global synchronization means that the desire objective is reached for every initial conditions, with the possible exception of a zero Lebesgue measure set. This is a useful concept, specially when global synchronization can not be stated, due, for example, to the existence of multiple equilibria. In this survey article, we give an analysis of the influence of the interconnection graph on this dynamical property. We present in a ordered way several known and new results that help on the characterization of what we have called synchronizing topologies. |
| eu_rights_str_mv | openAccess |
| format | conferenceObject |
| id | COLIBRI_d501185f302c945929a651614eff6a32 |
| identifier_str_mv | Canale, E, Monzón, P. “On the characterization of Families of Synchronizing Graphs of Kuramoto Coupled Oscillators”. Proceedings of the 1st IFAC Workshop on Estimation and Control of Networked Systems, Venice, Italy, 2009. https://doi.org/10.3182/20090924-3-IT-4005.00008 |
| 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:20.500.12008/38656 |
| publishDate | 2009 |
| 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 | 2023-08-01T20:33:12Z2023-08-01T20:33:12Z200920230801Canale, E, Monzón, P. “On the characterization of Families of Synchronizing Graphs of Kuramoto Coupled Oscillators”. Proceedings of the 1st IFAC Workshop on Estimation and Control of Networked Systems, Venice, Italy, 2009. https://doi.org/10.3182/20090924-3-IT-4005.00008https://hdl.handle.net/20.500.12008/38656https://doi.org/10.3182/20090924-3-IT-4005.00008Kuramoto model of coupled oscillators represents situations where several individual agents interact and reach a collective behavior. The interaction is naturally described by a interconnection graph. Frequently, the desired performance is the synchronization of all the agents. Almost global synchronization means that the desire objective is reached for every initial conditions, with the possible exception of a zero Lebesgue measure set. This is a useful concept, specially when global synchronization can not be stated, due, for example, to the existence of multiple equilibria. In this survey article, we give an analysis of the influence of the interconnection graph on this dynamical property. We present in a ordered way several known and new results that help on the characterization of what we have called synchronizing topologies.Made available in DSpace on 2023-08-01T20:33:12Z (GMT). No. of bitstreams: 5 CM09a.pdf: 483873 bytes, checksum: 2faf43abd6241f63d626b5ea9c53389d (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: 2009enengIFAC1st IFAC Workshop on Estimation and Control of Networked Systems, Venice, Italy, 2009Las 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)Nonlinear analysisOscillatorsGlobal stabilityCoupled devicesOn the characterization of families of synchronizing graphs of Kuramoto Coupled OscillatorsPonenciainfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaCanale, EduardoMonzón, 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- Universidad de la Repúblicafalse |
| spellingShingle | On the characterization of families of synchronizing graphs of Kuramoto Coupled Oscillators Canale, Eduardo Nonlinear analysis Oscillators Global stability Coupled devices |
| status_str | publishedVersion |
| title | On the characterization of families of synchronizing graphs of Kuramoto Coupled Oscillators |
| title_full | On the characterization of families of synchronizing graphs of Kuramoto Coupled Oscillators |
| title_fullStr | On the characterization of families of synchronizing graphs of Kuramoto Coupled Oscillators |
| title_full_unstemmed | On the characterization of families of synchronizing graphs of Kuramoto Coupled Oscillators |
| title_short | On the characterization of families of synchronizing graphs of Kuramoto Coupled Oscillators |
| title_sort | On the characterization of families of synchronizing graphs of Kuramoto Coupled Oscillators |
| topic | Nonlinear analysis Oscillators Global stability Coupled devices |
| url | https://hdl.handle.net/20.500.12008/38656 https://doi.org/10.3182/20090924-3-IT-4005.00008 |
