Sparsity-driven synchronization in oscillator networks
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1063/5.0074008 http://hdl.handle.net/11449/230635 |
Resumo: | The emergence of synchronized behavior is a direct consequence of networking dynamical systems. Naturally, strict instances of this phenomenon, such as the states of complete synchronization, are favored or even ensured in networks with a high density of connections. Conversely, in sparse networks, the system state-space is often shared by a variety of coexistent solutions. Consequently, the convergence to complete synchronized states is far from being certain. In this scenario, we report the surprising phenomenon in which completely synchronized states are made the sole attractor of sparse networks by removing network links, the sparsity-driven synchronization. This phenomenon is observed numerically for nonlocally coupled Kuramoto networks and verified analytically for locally coupled ones. In addition, we unravel the bifurcation scenario underlying the network transition to completely synchronized behavior. Furthermore, we present a simple procedure, based on the bifurcations in the thermodynamic limit, that determines the minimum number of links to be removed in order to ensure complete synchronization. Finally, we propose an application of the reported phenomenon as a control scheme to drive complete synchronization in high connectivity networks. |
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Repositório Institucional da UNESP |
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2946 |
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Sparsity-driven synchronization in oscillator networksThe emergence of synchronized behavior is a direct consequence of networking dynamical systems. Naturally, strict instances of this phenomenon, such as the states of complete synchronization, are favored or even ensured in networks with a high density of connections. Conversely, in sparse networks, the system state-space is often shared by a variety of coexistent solutions. Consequently, the convergence to complete synchronized states is far from being certain. In this scenario, we report the surprising phenomenon in which completely synchronized states are made the sole attractor of sparse networks by removing network links, the sparsity-driven synchronization. This phenomenon is observed numerically for nonlocally coupled Kuramoto networks and verified analytically for locally coupled ones. In addition, we unravel the bifurcation scenario underlying the network transition to completely synchronized behavior. Furthermore, we present a simple procedure, based on the bifurcations in the thermodynamic limit, that determines the minimum number of links to be removed in order to ensure complete synchronization. Finally, we propose an application of the reported phenomenon as a control scheme to drive complete synchronization in high connectivity networks.Departamento de Física Universidade Federal de São Paulo Unifesp Campus DiademaInstitute for Chemistry and Biology of the Marine Environment Carl von Ossietzky University OldenburgInstitut für Theoretische Physik Technische Universität Berlin, Hardenbergstraße 36Departamento de Física Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista Unesp Campus Rio ClaroDepartamento de Física Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista Unesp Campus Rio ClaroUniversidade Federal de São Paulo (UNIFESP)Carl von Ossietzky University OldenburgTechnische Universität BerlinUniversidade Estadual Paulista (UNESP)Mihara, AntonioMedeiros, Everton S.Zakharova, AnnaMedrano-T, Rene O. [UNESP]2022-04-29T08:41:19Z2022-04-29T08:41:19Z2022-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1063/5.0074008Chaos, v. 32, n. 3, 2022.1089-76821054-1500http://hdl.handle.net/11449/23063510.1063/5.00740082-s2.0-85127073934Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengChaosinfo:eu-repo/semantics/openAccess2022-04-29T08:41:19Zoai:repositorio.unesp.br:11449/230635Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:53:10.225591Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Sparsity-driven synchronization in oscillator networks |
title |
Sparsity-driven synchronization in oscillator networks |
spellingShingle |
Sparsity-driven synchronization in oscillator networks Mihara, Antonio |
title_short |
Sparsity-driven synchronization in oscillator networks |
title_full |
Sparsity-driven synchronization in oscillator networks |
title_fullStr |
Sparsity-driven synchronization in oscillator networks |
title_full_unstemmed |
Sparsity-driven synchronization in oscillator networks |
title_sort |
Sparsity-driven synchronization in oscillator networks |
author |
Mihara, Antonio |
author_facet |
Mihara, Antonio Medeiros, Everton S. Zakharova, Anna Medrano-T, Rene O. [UNESP] |
author_role |
author |
author2 |
Medeiros, Everton S. Zakharova, Anna Medrano-T, Rene O. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Federal de São Paulo (UNIFESP) Carl von Ossietzky University Oldenburg Technische Universität Berlin Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Mihara, Antonio Medeiros, Everton S. Zakharova, Anna Medrano-T, Rene O. [UNESP] |
description |
The emergence of synchronized behavior is a direct consequence of networking dynamical systems. Naturally, strict instances of this phenomenon, such as the states of complete synchronization, are favored or even ensured in networks with a high density of connections. Conversely, in sparse networks, the system state-space is often shared by a variety of coexistent solutions. Consequently, the convergence to complete synchronized states is far from being certain. In this scenario, we report the surprising phenomenon in which completely synchronized states are made the sole attractor of sparse networks by removing network links, the sparsity-driven synchronization. This phenomenon is observed numerically for nonlocally coupled Kuramoto networks and verified analytically for locally coupled ones. In addition, we unravel the bifurcation scenario underlying the network transition to completely synchronized behavior. Furthermore, we present a simple procedure, based on the bifurcations in the thermodynamic limit, that determines the minimum number of links to be removed in order to ensure complete synchronization. Finally, we propose an application of the reported phenomenon as a control scheme to drive complete synchronization in high connectivity networks. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-04-29T08:41:19Z 2022-04-29T08:41:19Z 2022-03-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1063/5.0074008 Chaos, v. 32, n. 3, 2022. 1089-7682 1054-1500 http://hdl.handle.net/11449/230635 10.1063/5.0074008 2-s2.0-85127073934 |
url |
http://dx.doi.org/10.1063/5.0074008 http://hdl.handle.net/11449/230635 |
identifier_str_mv |
Chaos, v. 32, n. 3, 2022. 1089-7682 1054-1500 10.1063/5.0074008 2-s2.0-85127073934 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Chaos |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128715519950848 |