Synchronization transitions in ensembles of noisy oscillators with bi-harmonic coupling
- 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.
Author details: | Vladimir Vlasov, Maxim Komarov, Arkadij PikovskijORCiDGND |
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DOI: | https://doi.org/10.1088/1751-8113/48/10/105101 |
ISSN: | 1751-8113 |
ISSN: | 1751-8121 |
Title of parent work (English): | Journal of physics : A, Mathematical and theoretical |
Publisher: | IOP Publ. Ltd. |
Place of publishing: | Bristol |
Publication type: | Article |
Language: | English |
Year of first publication: | 2015 |
Publication year: | 2015 |
Release date: | 2017/03/27 |
Tag: | bi-harmonic coupling; noise; synchronization |
Volume: | 48 |
Issue: | 10 |
Number of pages: | 16 |
Funding institution: | DFG/FAPESP [1740/TRP 2011/50151-0]; Alexander von Humboldt foundation; Russian Science Foundation [14-12-00811]; INFN; Russian Ministry of Education and Science [02.49.21.0003]; Lobachevsky State University of Nizhni Novgorod |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
Peer review: | Referiert |