Noise-induced synchronization, desynchronization, and clustering in globally coupled nonidentical oscillators

Handle URI:
http://hdl.handle.net/10754/598978
Title:
Noise-induced synchronization, desynchronization, and clustering in globally coupled nonidentical oscillators
Authors:
Lai, Yi Ming; Porter, Mason A.
Abstract:
We study ensembles of globally coupled, nonidentical phase oscillators subject to correlated noise, and we identify several important factors that cause noise and coupling to synchronize or desynchronize a system. By introducing noise in various ways, we find an estimate for the onset of synchrony of a system in terms of the coupling strength, noise strength, and width of the frequency distribution of its natural oscillations. We also demonstrate that noise alone can be sufficient to synchronize nonidentical oscillators. However, this synchrony depends on the first Fourier mode of a phase-sensitivity function, through which we introduce common noise into the system. We show that higher Fourier modes can cause desynchronization due to clustering effects, and that this can reinforce clustering caused by different forms of coupling. Finally, we discuss the effects of noise on an ensemble in which antiferromagnetic coupling causes oscillators to form two clusters in the absence of noise. © 2013 American Physical Society.
Citation:
Lai YM, Porter MA (2013) Noise-induced synchronization, desynchronization, and clustering in globally coupled nonidentical oscillators. Phys Rev E 88. Available: http://dx.doi.org/10.1103/PhysRevE.88.012905.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
Issue Date:
9-Jul-2013
DOI:
10.1103/PhysRevE.88.012905
PubMed ID:
23944536
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
Y.M.L. was funded in part by a grant from KAUST. We thank Sherry Chen for early work on antiferromagnetic synchronization and Mike Cross for his collaboration on that precursor project. We thank Erik Bollt and Jie Sun for helpful comments.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorLai, Yi Mingen
dc.contributor.authorPorter, Mason A.en
dc.date.accessioned2016-02-25T13:50:29Zen
dc.date.available2016-02-25T13:50:29Zen
dc.date.issued2013-07-09en
dc.identifier.citationLai YM, Porter MA (2013) Noise-induced synchronization, desynchronization, and clustering in globally coupled nonidentical oscillators. Phys Rev E 88. Available: http://dx.doi.org/10.1103/PhysRevE.88.012905.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid23944536en
dc.identifier.doi10.1103/PhysRevE.88.012905en
dc.identifier.urihttp://hdl.handle.net/10754/598978en
dc.description.abstractWe study ensembles of globally coupled, nonidentical phase oscillators subject to correlated noise, and we identify several important factors that cause noise and coupling to synchronize or desynchronize a system. By introducing noise in various ways, we find an estimate for the onset of synchrony of a system in terms of the coupling strength, noise strength, and width of the frequency distribution of its natural oscillations. We also demonstrate that noise alone can be sufficient to synchronize nonidentical oscillators. However, this synchrony depends on the first Fourier mode of a phase-sensitivity function, through which we introduce common noise into the system. We show that higher Fourier modes can cause desynchronization due to clustering effects, and that this can reinforce clustering caused by different forms of coupling. Finally, we discuss the effects of noise on an ensemble in which antiferromagnetic coupling causes oscillators to form two clusters in the absence of noise. © 2013 American Physical Society.en
dc.description.sponsorshipY.M.L. was funded in part by a grant from KAUST. We thank Sherry Chen for early work on antiferromagnetic synchronization and Mike Cross for his collaboration on that precursor project. We thank Erik Bollt and Jie Sun for helpful comments.en
dc.publisherAmerican Physical Society (APS)en
dc.titleNoise-induced synchronization, desynchronization, and clustering in globally coupled nonidentical oscillatorsen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Strathclyde, Glasgow, United Kingdomen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
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