Spectral analysis of synchronization in mobile networks
We here analyze a system consisting of agents moving in a two-dimensional space that interact with other agents if they are within a finite range. Considering the motion and the interaction of the agents, the system can be understood as a network with a time-dependent topology. Dynamically, the agen...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/119614 |
| Acceso en línea: | https://hdl.handle.net/2445/119614 |
| Access Level: | acceso abierto |
| Palabra clave: | Sincronització Xarxes complexes (Física) Synchronization Complex networks (Physics) |
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Spectral analysis of synchronization in mobile networksFujiwara, N.Kurths, J.Díaz Guilera, AlbertSincronitzacióXarxes complexes (Física)SynchronizationComplex networks (Physics)We here analyze a system consisting of agents moving in a two-dimensional space that interact with other agents if they are within a finite range. Considering the motion and the interaction of the agents, the system can be understood as a network with a time-dependent topology. Dynamically, the agents are assumed to be identical oscillators, and the system will eventually reach a state of complete synchronization. In a previous work, we have shown that two qualitatively different mechanisms leading to synchronization in such mobile networks exist, namely global synchronization and local synchronization, depending on the parameters that characterize the oscillatory dynamics and the motion of the agents [1]. In this contribution we show that the spectral pattern differs between the two synchronization mechanisms. For global synchronization the spectrum is flat, which means that all eigenmodes contribute identically. For local synchronization, instead, the synchronization dynamics is determined mostly by the eigenmodes whose eigenvalues are close to zero. This result suggests that the global synchronization mechanism achieves fast synchronization by efficiently using the fast decaying eigenmodes (larger eigenvalues).American Institute of Physics (AIP)2018201820112018info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion4 p.application/pdfhttps://hdl.handle.net/2445/119614Articles publicats en revistes (Física de la Matèria Condensada)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: https://doi.org/10.1063/1.3637782AIP Conference Proceedings, 2011, vol. 1389, num. 1, p. 1015-1018https://doi.org/10.1063/1.3637782info:eu-repo/grantAgreement/EC/FP7/266722(c) Fujiwara, N. et al., 2011info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1196142026-05-29T05:05:01Z |
| dc.title.none.fl_str_mv |
Spectral analysis of synchronization in mobile networks |
| title |
Spectral analysis of synchronization in mobile networks |
| spellingShingle |
Spectral analysis of synchronization in mobile networks Fujiwara, N. Sincronització Xarxes complexes (Física) Synchronization Complex networks (Physics) |
| title_short |
Spectral analysis of synchronization in mobile networks |
| title_full |
Spectral analysis of synchronization in mobile networks |
| title_fullStr |
Spectral analysis of synchronization in mobile networks |
| title_full_unstemmed |
Spectral analysis of synchronization in mobile networks |
| title_sort |
Spectral analysis of synchronization in mobile networks |
| dc.creator.none.fl_str_mv |
Fujiwara, N. Kurths, J. Díaz Guilera, Albert |
| author |
Fujiwara, N. |
| author_facet |
Fujiwara, N. Kurths, J. Díaz Guilera, Albert |
| author_role |
author |
| author2 |
Kurths, J. Díaz Guilera, Albert |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Sincronització Xarxes complexes (Física) Synchronization Complex networks (Physics) |
| topic |
Sincronització Xarxes complexes (Física) Synchronization Complex networks (Physics) |
| description |
We here analyze a system consisting of agents moving in a two-dimensional space that interact with other agents if they are within a finite range. Considering the motion and the interaction of the agents, the system can be understood as a network with a time-dependent topology. Dynamically, the agents are assumed to be identical oscillators, and the system will eventually reach a state of complete synchronization. In a previous work, we have shown that two qualitatively different mechanisms leading to synchronization in such mobile networks exist, namely global synchronization and local synchronization, depending on the parameters that characterize the oscillatory dynamics and the motion of the agents [1]. In this contribution we show that the spectral pattern differs between the two synchronization mechanisms. For global synchronization the spectrum is flat, which means that all eigenmodes contribute identically. For local synchronization, instead, the synchronization dynamics is determined mostly by the eigenmodes whose eigenvalues are close to zero. This result suggests that the global synchronization mechanism achieves fast synchronization by efficiently using the fast decaying eigenmodes (larger eigenvalues). |
| publishDate |
2011 |
| dc.date.none.fl_str_mv |
2011 2018 2018 2018 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/2445/119614 |
| url |
https://hdl.handle.net/2445/119614 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Reproducció del document publicat a: https://doi.org/10.1063/1.3637782 AIP Conference Proceedings, 2011, vol. 1389, num. 1, p. 1015-1018 https://doi.org/10.1063/1.3637782 info:eu-repo/grantAgreement/EC/FP7/266722 |
| dc.rights.none.fl_str_mv |
(c) Fujiwara, N. et al., 2011 info:eu-repo/semantics/openAccess |
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(c) Fujiwara, N. et al., 2011 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
4 p. application/pdf |
| dc.publisher.none.fl_str_mv |
American Institute of Physics (AIP) |
| publisher.none.fl_str_mv |
American Institute of Physics (AIP) |
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Articles publicats en revistes (Física de la Matèria Condensada) reponame:Recercat. Dipósit de la Recerca de Catalunya instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
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Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
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Recercat. Dipósit de la Recerca de Catalunya |
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Recercat. Dipósit de la Recerca de Catalunya |
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15,812429 |