TY  - JOUR
A1  - Vlasov, Vladimir
A1  - Komarov, Maxim
A1  - Pikovskij, Arkadij
T1  - Synchronization transitions in ensembles of noisy oscillators with bi-harmonic coupling
JF  - Journal of physics : A, Mathematical and theoretical
N2  - 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.
KW  - synchronization
KW  - bi-harmonic coupling
KW  - noise
Y1  - 2015
U6  - https://doi.org/10.1088/1751-8113/48/10/105101
SN  - 1751-8113
SN  - 1751-8121
VL  - 48
IS  - 10
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -