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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Synchronization transitions in ensembles of noisy oscillators with bi-harmonic coupling

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Vlasov, Vladimir [1] ; Komarov, Maxim [2, 1] ; Pikovsky, Arkady [2, 1]
Total Authors: 3
[1] Univ Potsdam, Inst Phys & Astron, D-14476 Potsdam - Germany
[2] Nizhnii Novgorod State Univ, Dept Control Theory, Nizhnii Novgorod 606950 - Russia
Total Affiliations: 2
Document type: Journal article
Source: Journal of Physics A-Mathematical and Theoretical; v. 48, n. 10 MAR 13 2015.
Web of Science Citations: 4

We describe synchronization transitions in an ensemble of globally coupled phase oscillators with a bi-harmonic coupling function, and two sources of disorder-diversity of the intrinsic oscillators' frequencies, and external independent noise forces. Based on the self-consistent formulation, we derive analytic solutions for different synchronous states. We report on various non-trivial transitions from incoherence to synchrony, with the following possible scenarios: simple supercritical transition (similar to classical Kuramoto model); subcritical transition with large area of bistability of incoherent and synchronous solutions; appearance of a symmetric two-cluster solution which can coexist with the regular synchronous state. We show that the interplay between relatively small white noise and finite-size fluctuations can lead to metastability of the asynchronous solution. (AU)

FAPESP's process: 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants