TY - JOUR
T1 - Noise-induced synchronization, desynchronization, and clustering in globally coupled nonidentical oscillators
AU - Lai, Yi Ming
AU - Porter, Mason A.
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2013/7/9
Y1 - 2013/7/9
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/598978
UR - https://link.aps.org/doi/10.1103/PhysRevE.88.012905
UR - http://www.scopus.com/inward/record.url?scp=84880624149&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.88.012905
DO - 10.1103/PhysRevE.88.012905
M3 - Article
C2 - 23944536
SN - 1539-3755
VL - 88
JO - Physical Review E
JF - Physical Review E
IS - 1
ER -