Synchronization by uncorrelated noise: interacting rhythms in interconnected oscillator networks

Abstract Oscillators coupled in a network can synchronize with each other to yield a coherent population rhythm. How do multiple such rhythms interact with each other? Do these collective oscillations synchronize like individual oscillators? We show that this is not the case: for strong, inhibitory...

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Main Authors: John Hongyu Meng, Hermann Riecke
Format: Article
Language:English
Published: Nature Portfolio 2018-05-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-018-24670-y
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author John Hongyu Meng
Hermann Riecke
author_facet John Hongyu Meng
Hermann Riecke
author_sort John Hongyu Meng
collection DOAJ
description Abstract Oscillators coupled in a network can synchronize with each other to yield a coherent population rhythm. How do multiple such rhythms interact with each other? Do these collective oscillations synchronize like individual oscillators? We show that this is not the case: for strong, inhibitory coupling rhythms can become synchronized by noise. In contrast to stochastic synchronization, this new mechanism synchronizes the rhythms even if the noisy inputs to different oscillators are completely uncorrelated. Key for the synchrony across networks is the reduced synchrony within the networks: it substantially increases the frequency range across which the networks can be entrained by other networks or by periodic pacemaker-like inputs. We demonstrate this type of robust synchronization for different classes of oscillators and network connectivities. The synchronization of different population rhythms is expected to be relevant for brain rhythms.
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spelling doaj.art-0746df1ec0074d95a893b33dff895eba2022-12-21T20:35:58ZengNature PortfolioScientific Reports2045-23222018-05-018111410.1038/s41598-018-24670-ySynchronization by uncorrelated noise: interacting rhythms in interconnected oscillator networksJohn Hongyu Meng0Hermann Riecke1Engineering Sciences and Applied Mathematics, Northwestern UniversityEngineering Sciences and Applied Mathematics, Northwestern UniversityAbstract Oscillators coupled in a network can synchronize with each other to yield a coherent population rhythm. How do multiple such rhythms interact with each other? Do these collective oscillations synchronize like individual oscillators? We show that this is not the case: for strong, inhibitory coupling rhythms can become synchronized by noise. In contrast to stochastic synchronization, this new mechanism synchronizes the rhythms even if the noisy inputs to different oscillators are completely uncorrelated. Key for the synchrony across networks is the reduced synchrony within the networks: it substantially increases the frequency range across which the networks can be entrained by other networks or by periodic pacemaker-like inputs. We demonstrate this type of robust synchronization for different classes of oscillators and network connectivities. The synchronization of different population rhythms is expected to be relevant for brain rhythms.https://doi.org/10.1038/s41598-018-24670-y
spellingShingle John Hongyu Meng
Hermann Riecke
Synchronization by uncorrelated noise: interacting rhythms in interconnected oscillator networks
Scientific Reports
title Synchronization by uncorrelated noise: interacting rhythms in interconnected oscillator networks
title_full Synchronization by uncorrelated noise: interacting rhythms in interconnected oscillator networks
title_fullStr Synchronization by uncorrelated noise: interacting rhythms in interconnected oscillator networks
title_full_unstemmed Synchronization by uncorrelated noise: interacting rhythms in interconnected oscillator networks
title_short Synchronization by uncorrelated noise: interacting rhythms in interconnected oscillator networks
title_sort synchronization by uncorrelated noise interacting rhythms in interconnected oscillator networks
url https://doi.org/10.1038/s41598-018-24670-y
work_keys_str_mv AT johnhongyumeng synchronizationbyuncorrelatednoiseinteractingrhythmsininterconnectedoscillatornetworks
AT hermannriecke synchronizationbyuncorrelatednoiseinteractingrhythmsininterconnectedoscillatornetworks