Synchronization in a higher-order neuronal network with blinking interactions

<p dir="ltr">The synchronization of higher-order networks presents a fascinating area of exploration within nonlinear dynamics and complex networks. Simultaneously, growing research interest focuses on uncovering synchronization dynamics in time-varying networks with time-dependent c...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Parvathysankar Deivasundari (21841424) (author)
مؤلفون آخرون: Hayder Natiq (21841427) (author), Shaobo He (5714621) (author), Yuexi Peng (21841430) (author), Iqtadar Hussain (14147850) (author)
منشور في: 2024
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author Parvathysankar Deivasundari (21841424)
author2 Hayder Natiq (21841427)
Shaobo He (5714621)
Yuexi Peng (21841430)
Iqtadar Hussain (14147850)
author2_role author
author
author
author
author_facet Parvathysankar Deivasundari (21841424)
Hayder Natiq (21841427)
Shaobo He (5714621)
Yuexi Peng (21841430)
Iqtadar Hussain (14147850)
author_role author
dc.creator.none.fl_str_mv Parvathysankar Deivasundari (21841424)
Hayder Natiq (21841427)
Shaobo He (5714621)
Yuexi Peng (21841430)
Iqtadar Hussain (14147850)
dc.date.none.fl_str_mv 2024-04-29T09:00:00Z
dc.identifier.none.fl_str_mv 10.1140/epjs/s11734-024-01160-z
dc.relation.none.fl_str_mv https://figshare.com/articles/journal_contribution/Synchronization_in_a_higher-order_neuronal_network_with_blinking_interactions/29714972
dc.rights.none.fl_str_mv CC BY 4.0
info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Mathematical sciences
Applied mathematics
Higher-order networks
Nonlinear dynamics
Complex systems
Time-varying networks
Blinking coupling
Synchronization
dc.title.none.fl_str_mv Synchronization in a higher-order neuronal network with blinking interactions
dc.type.none.fl_str_mv Text
Journal contribution
info:eu-repo/semantics/publishedVersion
text
contribution to journal
description <p dir="ltr">The synchronization of higher-order networks presents a fascinating area of exploration within nonlinear dynamics and complex networks. Simultaneously, growing research interest focuses on uncovering synchronization dynamics in time-varying networks with time-dependent coupling structures, reflecting their prevalence in real-world systems like neuronal networks. Motivated by this, the present study delves into the synchronization phenomenon within a higher-order network incorporating a blinking coupling scheme. Blinking coupling is an on–off switching coupling that has been demonstrated to enhance synchronization effectively. Its efficacy stems from ensuring synchronization, as the master stability function (MSF) follows a linear pattern. In this study, our objective is to investigate such a time-varying coupling scheme in a higher-order network configuration. We investigate the influence of coupling parameters and blinking frequency on synchronization behavior. Notably, our findings demonstrate that as the blinking frequency increases, the network exhibits a gradual convergence toward the behavior of the average network. Furthermore, leveraging the analytical framework of MSF and the average synchronization error, we provide analytical and numerical evidence confirming that the MSF pattern within the average network transforms into a linear function. The synchronous and asynchronous regions also exhibit a clear separation demarcated by a linear curve across the coupling parameter space. Moreover, our results suggest that incorporating higher-order interactions fosters enhanced synchrony by effectively scaling the synchronization patterns to lower coupling parameter values.</p><h2>Other Information</h2><p dir="ltr">Published in: The European Physical Journal Special Topics<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1140/epjs/s11734-024-01160-z" target="_blank">https://dx.doi.org/10.1140/epjs/s11734-024-01160-z</a></p>
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identifier_str_mv 10.1140/epjs/s11734-024-01160-z
network_acronym_str Manara2
network_name_str Manara2
oai_identifier_str oai:figshare.com:article/29714972
publishDate 2024
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spelling Synchronization in a higher-order neuronal network with blinking interactionsParvathysankar Deivasundari (21841424)Hayder Natiq (21841427)Shaobo He (5714621)Yuexi Peng (21841430)Iqtadar Hussain (14147850)Mathematical sciencesApplied mathematicsHigher-order networksNonlinear dynamicsComplex systemsTime-varying networksBlinking couplingSynchronization<p dir="ltr">The synchronization of higher-order networks presents a fascinating area of exploration within nonlinear dynamics and complex networks. Simultaneously, growing research interest focuses on uncovering synchronization dynamics in time-varying networks with time-dependent coupling structures, reflecting their prevalence in real-world systems like neuronal networks. Motivated by this, the present study delves into the synchronization phenomenon within a higher-order network incorporating a blinking coupling scheme. Blinking coupling is an on–off switching coupling that has been demonstrated to enhance synchronization effectively. Its efficacy stems from ensuring synchronization, as the master stability function (MSF) follows a linear pattern. In this study, our objective is to investigate such a time-varying coupling scheme in a higher-order network configuration. We investigate the influence of coupling parameters and blinking frequency on synchronization behavior. Notably, our findings demonstrate that as the blinking frequency increases, the network exhibits a gradual convergence toward the behavior of the average network. Furthermore, leveraging the analytical framework of MSF and the average synchronization error, we provide analytical and numerical evidence confirming that the MSF pattern within the average network transforms into a linear function. The synchronous and asynchronous regions also exhibit a clear separation demarcated by a linear curve across the coupling parameter space. Moreover, our results suggest that incorporating higher-order interactions fosters enhanced synchrony by effectively scaling the synchronization patterns to lower coupling parameter values.</p><h2>Other Information</h2><p dir="ltr">Published in: The European Physical Journal Special Topics<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1140/epjs/s11734-024-01160-z" target="_blank">https://dx.doi.org/10.1140/epjs/s11734-024-01160-z</a></p>2024-04-29T09:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1140/epjs/s11734-024-01160-zhttps://figshare.com/articles/journal_contribution/Synchronization_in_a_higher-order_neuronal_network_with_blinking_interactions/29714972CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/297149722024-04-29T09:00:00Z
spellingShingle Synchronization in a higher-order neuronal network with blinking interactions
Parvathysankar Deivasundari (21841424)
Mathematical sciences
Applied mathematics
Higher-order networks
Nonlinear dynamics
Complex systems
Time-varying networks
Blinking coupling
Synchronization
status_str publishedVersion
title Synchronization in a higher-order neuronal network with blinking interactions
title_full Synchronization in a higher-order neuronal network with blinking interactions
title_fullStr Synchronization in a higher-order neuronal network with blinking interactions
title_full_unstemmed Synchronization in a higher-order neuronal network with blinking interactions
title_short Synchronization in a higher-order neuronal network with blinking interactions
title_sort Synchronization in a higher-order neuronal network with blinking interactions
topic Mathematical sciences
Applied mathematics
Higher-order networks
Nonlinear dynamics
Complex systems
Time-varying networks
Blinking coupling
Synchronization