Chimera states in multiplex networks: chameleon-like across-layer synchronization

Different across-layer synchronization types of chimera states in multilayer networks have been discovered recently. We investigate possible relations between them, for example, if the onset of some synchronization type implies the onset of some other type. For this purpose, we use a two-layer netwo...

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Detalles Bibliográficos
Autores: Andrzejak, Ralph Gregor, Espinoso Palacín, Anaïs
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
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:10230/56823
Acceso en línea:http://hdl.handle.net/10230/56823
http://dx.doi.org/10.1063/5.0146550
Access Level:acceso abierto
Palabra clave:Xarxes neuronals (Informàtica)
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spelling Chimera states in multiplex networks: chameleon-like across-layer synchronizationAndrzejak, Ralph GregorEspinoso Palacín, AnaïsXarxes neuronals (Informàtica)Different across-layer synchronization types of chimera states in multilayer networks have been discovered recently. We investigate possible relations between them, for example, if the onset of some synchronization type implies the onset of some other type. For this purpose, we use a two-layer network with multiplex inter-layer coupling. Each layer consists of a ring of non-locally coupled phase oscillators. While oscillators in each layer are identical, the layers are made non-identical by introducing mismatches in the oscillators’ mean frequencies and phase lag parameters of the intra-layer coupling. We use different metrics to quantify the degree of various across-layer synchronization types. These include phase-locking between individual interacting oscillators, amplitude and phase synchronization between the order parameters of each layer, generalized synchronization between the driver and response layer, and the alignment of the incoherent oscillator groups’ position on the two rings. For positive phase lag parameter mismatches, we get a cascaded onset of synchronization upon a gradual increase of the inter-layer coupling strength. For example, the two order parameters show phase synchronization before any of the interacting oscillator pairs does. For negative mismatches, most synchronization types have their onset in a narrow range of the coupling strength. Weaker couplings can destabilize chimera states in the response layer toward an almost fully coherent or fully incoherent motion. Finally, in the absence of a phase lag mismatch, sufficient coupling turns the response dynamics into a replica of the driver dynamics with the phases of all oscillators shifted by a constant lag.We acknowledge funding from the Spanish Ministry of Science and Innovation and the State Research Agency (Grant No. PID2020-118196GBI00/MICIN/AEI/10.13039/501100011033).American Institute of Physics (AIP)202320232023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/10230/56823http://dx.doi.org/10.1063/5.0146550reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésChaos. 2023;33(5):053112.https://dataverse.csuc.cat/dataverse/cat?q=andrzejakinfo:eu-repo/grantAgreement/ES/2PE/PID2020-118196GBI00© American Institute of Physics. Published under an exclusive license by AIP Publishinginfo:eu-repo/semantics/openAccessoai:recercat.cat:10230/568232026-05-29T05:05:01Z
dc.title.none.fl_str_mv Chimera states in multiplex networks: chameleon-like across-layer synchronization
title Chimera states in multiplex networks: chameleon-like across-layer synchronization
spellingShingle Chimera states in multiplex networks: chameleon-like across-layer synchronization
Andrzejak, Ralph Gregor
Xarxes neuronals (Informàtica)
title_short Chimera states in multiplex networks: chameleon-like across-layer synchronization
title_full Chimera states in multiplex networks: chameleon-like across-layer synchronization
title_fullStr Chimera states in multiplex networks: chameleon-like across-layer synchronization
title_full_unstemmed Chimera states in multiplex networks: chameleon-like across-layer synchronization
title_sort Chimera states in multiplex networks: chameleon-like across-layer synchronization
dc.creator.none.fl_str_mv Andrzejak, Ralph Gregor
Espinoso Palacín, Anaïs
author Andrzejak, Ralph Gregor
author_facet Andrzejak, Ralph Gregor
Espinoso Palacín, Anaïs
author_role author
author2 Espinoso Palacín, Anaïs
author2_role author
dc.subject.none.fl_str_mv Xarxes neuronals (Informàtica)
topic Xarxes neuronals (Informàtica)
description Different across-layer synchronization types of chimera states in multilayer networks have been discovered recently. We investigate possible relations between them, for example, if the onset of some synchronization type implies the onset of some other type. For this purpose, we use a two-layer network with multiplex inter-layer coupling. Each layer consists of a ring of non-locally coupled phase oscillators. While oscillators in each layer are identical, the layers are made non-identical by introducing mismatches in the oscillators’ mean frequencies and phase lag parameters of the intra-layer coupling. We use different metrics to quantify the degree of various across-layer synchronization types. These include phase-locking between individual interacting oscillators, amplitude and phase synchronization between the order parameters of each layer, generalized synchronization between the driver and response layer, and the alignment of the incoherent oscillator groups’ position on the two rings. For positive phase lag parameter mismatches, we get a cascaded onset of synchronization upon a gradual increase of the inter-layer coupling strength. For example, the two order parameters show phase synchronization before any of the interacting oscillator pairs does. For negative mismatches, most synchronization types have their onset in a narrow range of the coupling strength. Weaker couplings can destabilize chimera states in the response layer toward an almost fully coherent or fully incoherent motion. Finally, in the absence of a phase lag mismatch, sufficient coupling turns the response dynamics into a replica of the driver dynamics with the phases of all oscillators shifted by a constant lag.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023
2023
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 http://hdl.handle.net/10230/56823
http://dx.doi.org/10.1063/5.0146550
url http://hdl.handle.net/10230/56823
http://dx.doi.org/10.1063/5.0146550
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Chaos. 2023;33(5):053112.
https://dataverse.csuc.cat/dataverse/cat?q=andrzejak
info:eu-repo/grantAgreement/ES/2PE/PID2020-118196GBI00
dc.rights.none.fl_str_mv © American Institute of Physics. Published under an exclusive license by AIP Publishing
info:eu-repo/semantics/openAccess
rights_invalid_str_mv © American Institute of Physics. Published under an exclusive license by AIP Publishing
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics (AIP)
publisher.none.fl_str_mv American Institute of Physics (AIP)
dc.source.none.fl_str_mv reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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