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Competing influence of common noise and desynchronizing coupling on synchronization in the Kuramoto-Sakaguchi ensemble

  • We describe analytically synchronization and desynchronization effects in an ensemble of phase oscillators driven by common noise and by global coupling. Adopting the Ott-Antonsen ansatz, we reduce the dynamics to closed stochastic equations for the order parameters, and study these equations for the cases of populations of identical and nonidentical oscillators. For nonidentical oscillators we demonstrate a counterintuitive effect of divergence of individual frequencies for moderate repulsive coupling, while the order parameter remains large.

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Author details:Denis S. GoldobinGND, Anastasiya V. Pimenova, Michael RosenblumORCiDGND, Arkadij PikovskijORCiDGND
DOI:https://doi.org/10.1140/epjst/e2017-70039-y
ISSN:1951-6355
ISSN:1951-6401
Title of parent work (English):European physical journal special topics
Publisher:Springer
Place of publishing:Heidelberg
Publication type:Article
Language:English
Year of first publication:2017
Publication year:2017
Release date:2020/04/20
Volume:226
Number of pages:17
First page:1921
Last Page:1937
Funding institution:Russian Science Foundation [17-12-01534]; G-RISC [M-2016b-8]; Russian Federation [MK-1447.2017.5]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
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