TY  - JOUR
A1  - Zhang, Xiyun
A1  - Pikovskij, Arkadij
A1  - Liu, Zonghua
T1  - Dynamics of oscillators globally coupled via two mean fields
JF  - Scientific reports
N2  - Many studies of synchronization properties of coupled oscillators, based on the classical Kuramoto approach, focus on ensembles coupled via a mean field. Here we introduce a setup of Kuramoto-type phase oscillators coupled via two mean fields. We derive stability properties of the incoherent state and find traveling wave solutions with different locking patterns; stability properties of these waves are found numerically. Mostly nontrivial states appear when the two fields compete, i.e. one tends to synchronize oscillators while the other one desynchronizes them. Here we identify normal branches which bifurcate from the incoherent state in a usual way, and anomalous branches, appearance of which cannot be described as a bifurcation. Furthermore, hybrid branches combining properties of both are described. In the situations where no stable traveling wave exists, modulated quasiperiodic in time dynamics is observed. Our results indicate that a competition between two coupling channels can lead to a complex system behavior, providing a potential generalized framework for understanding of complex phenomena in natural oscillatory systems.
Y1  - 2017
U6  - https://doi.org/10.1038/s41598-017-02283-1
SN  - 2045-2322
VL  - 7
PB  - Nature Publ. Group
CY  - London
ER  -