Noise-induced synchronization desychronization and clustering in globally coupled nonidentical oscillators
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 o...
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| Format: | Journal article |
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American Physical Society
2013
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| _version_ | 1797103562751213568 |
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| author | Lai, Y Porter, M |
| author_facet | Lai, Y Porter, M |
| author_sort | Lai, Y |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T06:21:52Z |
| format | Journal article |
| id | oxford-uuid:f2f94755-dc0f-48f9-a910-48cc221c84e0 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:21:52Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:f2f94755-dc0f-48f9-a910-48cc221c84e02022-03-27T12:08:15ZNoise-induced synchronization desychronization and clustering in globally coupled nonidentical oscillatorsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f2f94755-dc0f-48f9-a910-48cc221c84e0Mathematical Institute - ePrintsAmerican Physical Society2013Lai, YPorter, MWe 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. |
| spellingShingle | Lai, Y Porter, M Noise-induced synchronization desychronization and clustering in globally coupled nonidentical oscillators |
| title | Noise-induced synchronization desychronization and clustering in globally coupled nonidentical oscillators |
| title_full | Noise-induced synchronization desychronization and clustering in globally coupled nonidentical oscillators |
| title_fullStr | Noise-induced synchronization desychronization and clustering in globally coupled nonidentical oscillators |
| title_full_unstemmed | Noise-induced synchronization desychronization and clustering in globally coupled nonidentical oscillators |
| title_short | Noise-induced synchronization desychronization and clustering in globally coupled nonidentical oscillators |
| title_sort | noise induced synchronization desychronization and clustering in globally coupled nonidentical oscillators |
| work_keys_str_mv | AT laiy noiseinducedsynchronizationdesychronizationandclusteringingloballycouplednonidenticaloscillators AT porterm noiseinducedsynchronizationdesychronizationandclusteringingloballycouplednonidenticaloscillators |