Single interconnection of Kuramoto coupled oscillators
Resumen:
In this work, we analyze the almost global synchronization property of sinusoidally coupled oscillators. In contrast with previous works, we introduce an approach that uses the strong basic facts of algebraic graph theory to prove dynamical properties of the standard symmetric Kuramoto model. We show how we can interconnect two (or several) systems via bridges, keeping the almost global synchronization. These ideas can be used to explore other kinds of interconnections.
| 2007 | |
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Almost global stability Kuramoto coupled oscillators Nonlinear systems |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
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https://hdl.handle.net/20.500.12008/38768
https://doi.org/10.3182/20071017-3-BR-2923.00013 |
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| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522935196352512 |
|---|---|
| author | Monzón, Pablo |
| author2 | Canale, Eduardo |
| author2_role | author |
| author_facet | Monzón, Pablo Canale, Eduardo |
| author_role | author |
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| collection | COLIBRI |
| dc.creator.none.fl_str_mv | Monzón, Pablo Canale, Eduardo |
| dc.date.accessioned.none.fl_str_mv | 2023-08-01T20:33:41Z |
| dc.date.available.none.fl_str_mv | 2023-08-01T20:33:41Z |
| dc.date.issued.es.fl_str_mv | 2007 |
| dc.date.submitted.es.fl_str_mv | 20230801 |
| dc.description.abstract.none.fl_txt_mv | In this work, we analyze the almost global synchronization property of sinusoidally coupled oscillators. In contrast with previous works, we introduce an approach that uses the strong basic facts of algebraic graph theory to prove dynamical properties of the standard symmetric Kuramoto model. We show how we can interconnect two (or several) systems via bridges, keeping the almost global synchronization. These ideas can be used to explore other kinds of interconnections. |
| dc.identifier.citation.es.fl_str_mv | Monzon, P, Canale E. Single interconnection of Kuramoto coupled oscillators. IFAC Proceedings, 2007 v. 40, no. 20, pp 76-81. https://doi.org/10.3182/20071017-3-BR-2923.00013 |
| dc.identifier.doi.es.fl_str_mv | https://doi.org/10.3182/20071017-3-BR-2923.00013 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/38768 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | Elsevier |
| dc.relation.ispartof.es.fl_str_mv | IFAC Proceedings, 2007, v. 40, no. 20. |
| 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 | Almost global stability Kuramoto coupled oscillators Nonlinear systems |
| dc.title.none.fl_str_mv | Single interconnection 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 | In this work, we analyze the almost global synchronization property of sinusoidally coupled oscillators. In contrast with previous works, we introduce an approach that uses the strong basic facts of algebraic graph theory to prove dynamical properties of the standard symmetric Kuramoto model. We show how we can interconnect two (or several) systems via bridges, keeping the almost global synchronization. These ideas can be used to explore other kinds of interconnections. |
| eu_rights_str_mv | openAccess |
| format | conferenceObject |
| id | COLIBRI_a10c80842470a1b7f4b456b442fb9a83 |
| identifier_str_mv | Monzon, P, Canale E. Single interconnection of Kuramoto coupled oscillators. IFAC Proceedings, 2007 v. 40, no. 20, pp 76-81. https://doi.org/10.3182/20071017-3-BR-2923.00013 |
| 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:20.500.12008/38768 |
| publishDate | 2007 |
| 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 | 2023-08-01T20:33:41Z2023-08-01T20:33:41Z200720230801Monzon, P, Canale E. Single interconnection of Kuramoto coupled oscillators. IFAC Proceedings, 2007 v. 40, no. 20, pp 76-81. https://doi.org/10.3182/20071017-3-BR-2923.00013https://hdl.handle.net/20.500.12008/38768https://doi.org/10.3182/20071017-3-BR-2923.00013In this work, we analyze the almost global synchronization property of sinusoidally coupled oscillators. In contrast with previous works, we introduce an approach that uses the strong basic facts of algebraic graph theory to prove dynamical properties of the standard symmetric Kuramoto model. We show how we can interconnect two (or several) systems via bridges, keeping the almost global synchronization. These ideas can be used to explore other kinds of interconnections.Made available in DSpace on 2023-08-01T20:33:41Z (GMT). No. of bitstreams: 5 CM07a.pdf: 119049 bytes, checksum: 358d1c687d1854ad67bef31950605a81 (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: 2007enengElsevierIFAC Proceedings, 2007, v. 40, no. 20.Las 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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- Universidad de la Repúblicafalse |
| spellingShingle | Single interconnection of Kuramoto coupled oscillators Monzón, Pablo Almost global stability Kuramoto coupled oscillators Nonlinear systems |
| status_str | publishedVersion |
| title | Single interconnection of Kuramoto coupled oscillators |
| title_full | Single interconnection of Kuramoto coupled oscillators |
| title_fullStr | Single interconnection of Kuramoto coupled oscillators |
| title_full_unstemmed | Single interconnection of Kuramoto coupled oscillators |
| title_short | Single interconnection of Kuramoto coupled oscillators |
| title_sort | Single interconnection of Kuramoto coupled oscillators |
| topic | Almost global stability Kuramoto coupled oscillators Nonlinear systems |
| url | https://hdl.handle.net/20.500.12008/38768 https://doi.org/10.3182/20071017-3-BR-2923.00013 |
