Entraining chimeras: the effect of driving with regular, irregular, and real-world phases

Chimera states in coupled oscillator networks are paradigmatic examples of partial synchronization in nonlinear systems, with direct relevance to real-world network dynamics, such as neuronal dynamics. Since real-world networks are not isolated, but embedded in larger interacting systems, chimeras h...

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Autores: Epifanio, Jacopo, Brešar, Martin, Andrzejak, Ralph Gregor
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2026
País:España
Institución:Universitat Pompeu Fabra
Repositorio:Repositorio Digital de la UPF
OAI Identifier:oai:dnet:rdupf_______::b391970cf8c8e767d8711776892c64df
Acceso en línea:https://hdl.handle.net/10230/73585
http://dx.doi.org/10.1103/vczh-r59d
Access Level:acceso abierto
Palabra clave:Chimera states
Dynamics of networks
Epilepsy
Synchronization
Coupled oscillators
Electroencephalography
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spelling Entraining chimeras: the effect of driving with regular, irregular, and real-world phasesEpifanio, Jacopo Brešar, Martin Andrzejak, Ralph Gregor Chimera statesDynamics of networksEpilepsySynchronizationCoupled oscillatorsElectroencephalographyChimera states in coupled oscillator networks are paradigmatic examples of partial synchronization in nonlinear systems, with direct relevance to real-world network dynamics, such as neuronal dynamics. Since real-world networks are not isolated, but embedded in larger interacting systems, chimeras have also been studied under the influence of other networks and external signals. In particular, most prior work has treated periodic forcing of chimeras in the thermodynamic limit. As a consequence, it remains unclear how chimera states respond to external driving in finite-size networks, where they can spontaneously collapse into full synchronization. It is also largely unknown how realistic noisy drivers, rather than periodic signals, affect driver-response synchronization. To address these open questions, we drive a finite-size oscillator network that exhibits a chimera state with constant-angular-frequency phases and with the same phases superimposed with noise. We find that, for a specific range of angular-frequency mismatch and driving strength, we can entrain chimeras without causing them to collapse into full synchronization. Adding noise, in turn, reduces entrainment and facilitates collapses. As a real-world application of the driven chimera state framework, we also drive chimeras with phases from focal and nonfocal electroencephalography (EEG) signals recorded during seizure-free periods in patients with epilepsy. We observe that focal signals yield higher entrainment power, within-network coherence, and collapse power than nonfocal signals when the driver EEG's dominant frequency is close to the chimera's mean angular frequency. Away from this regime, nonfocal signals yield higher values of all three measures. The observed differences not only characterize focal and nonfocal signals, but may also provide additional insight into the seizure-free brain dynamics of epilepsy patients. In conclusion, beyond quantifying how external driving signals, with or without noise, affect the dynamics of chimera states that can collapse into full synchronization, this work further bridges the study of chimera states and epilepsy research.J.E. and R.G.A. acknowledge funding from the Spanish Ministry of Science and Innovation and the State Research Agency (Grant No. PID2020-118196GBI00/MICIU/AEI/10.13039/501100011033). J.E. has been funded by MICIU/AEI /10.13039/501100011033 under the Maria de Maeztu Units of Excellence Programme (Grant No. CEX2021-001195-M). M.B. acknowledges the funding from the Slovenian Research and Innovation Agency (Research Core Funding No. P2-0001).American Physical Society2026202620262026info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/10230/73585http://dx.doi.org/10.1103/vczh-r59dreponame:Repositorio Digital de la UPFinstname:Universitat Pompeu FabraInglésPhysical Review E. 13 March 2026;113:34214info:eu-repo/grantAgreement/ES/2PE/PID2020-118196GB-I00© American Physical Society. Published article available at https://journals.aps.org/pre/abstract/10.1103/vczh-r59dinfo:eu-repo/semantics/openAccessoai:dnet:rdupf_______::b391970cf8c8e767d8711776892c64df2026-06-12T07:21:37Z
dc.title.none.fl_str_mv Entraining chimeras: the effect of driving with regular, irregular, and real-world phases
title Entraining chimeras: the effect of driving with regular, irregular, and real-world phases
spellingShingle Entraining chimeras: the effect of driving with regular, irregular, and real-world phases
Epifanio, Jacopo
Chimera states
Dynamics of networks
Epilepsy
Synchronization
Coupled oscillators
Electroencephalography
title_short Entraining chimeras: the effect of driving with regular, irregular, and real-world phases
title_full Entraining chimeras: the effect of driving with regular, irregular, and real-world phases
title_fullStr Entraining chimeras: the effect of driving with regular, irregular, and real-world phases
title_full_unstemmed Entraining chimeras: the effect of driving with regular, irregular, and real-world phases
title_sort Entraining chimeras: the effect of driving with regular, irregular, and real-world phases
dc.creator.none.fl_str_mv Epifanio, Jacopo
Brešar, Martin
Andrzejak, Ralph Gregor
author Epifanio, Jacopo
author_facet Epifanio, Jacopo
Brešar, Martin
Andrzejak, Ralph Gregor
author_role author
author2 Brešar, Martin
Andrzejak, Ralph Gregor
author2_role author
author
dc.subject.none.fl_str_mv Chimera states
Dynamics of networks
Epilepsy
Synchronization
Coupled oscillators
Electroencephalography
topic Chimera states
Dynamics of networks
Epilepsy
Synchronization
Coupled oscillators
Electroencephalography
description Chimera states in coupled oscillator networks are paradigmatic examples of partial synchronization in nonlinear systems, with direct relevance to real-world network dynamics, such as neuronal dynamics. Since real-world networks are not isolated, but embedded in larger interacting systems, chimeras have also been studied under the influence of other networks and external signals. In particular, most prior work has treated periodic forcing of chimeras in the thermodynamic limit. As a consequence, it remains unclear how chimera states respond to external driving in finite-size networks, where they can spontaneously collapse into full synchronization. It is also largely unknown how realistic noisy drivers, rather than periodic signals, affect driver-response synchronization. To address these open questions, we drive a finite-size oscillator network that exhibits a chimera state with constant-angular-frequency phases and with the same phases superimposed with noise. We find that, for a specific range of angular-frequency mismatch and driving strength, we can entrain chimeras without causing them to collapse into full synchronization. Adding noise, in turn, reduces entrainment and facilitates collapses. As a real-world application of the driven chimera state framework, we also drive chimeras with phases from focal and nonfocal electroencephalography (EEG) signals recorded during seizure-free periods in patients with epilepsy. We observe that focal signals yield higher entrainment power, within-network coherence, and collapse power than nonfocal signals when the driver EEG's dominant frequency is close to the chimera's mean angular frequency. Away from this regime, nonfocal signals yield higher values of all three measures. The observed differences not only characterize focal and nonfocal signals, but may also provide additional insight into the seizure-free brain dynamics of epilepsy patients. In conclusion, beyond quantifying how external driving signals, with or without noise, affect the dynamics of chimera states that can collapse into full synchronization, this work further bridges the study of chimera states and epilepsy research.
publishDate 2026
dc.date.none.fl_str_mv 2026
2026
2026
2026
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/10230/73585
http://dx.doi.org/10.1103/vczh-r59d
url https://hdl.handle.net/10230/73585
http://dx.doi.org/10.1103/vczh-r59d
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Physical Review E. 13 March 2026;113:34214
info:eu-repo/grantAgreement/ES/2PE/PID2020-118196GB-I00
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Repositorio Digital de la UPF
instname:Universitat Pompeu Fabra
instname_str Universitat Pompeu Fabra
reponame_str Repositorio Digital de la UPF
collection Repositorio Digital de la UPF
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812455

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