TY  - JOUR
A1  - Baibolatov, Yernur
A1  - Rosenblum, Michael
A1  - Zhanabaev, Zeinulla Zh.
A1  - Kyzgarina, Meyramgul
A1  - Pikovskij, Arkadij
T1  - Periodically forced ensemble of nonlinearly coupled oscillators : from partial to full synchrony
N2  - We analyze the dynamics of a periodically forced oscillator ensemble with global nonlinear coupling. Without forcing, the system exhibits complicated collective dynamics, even for the simplest case of identical phase oscillators: due to nonlinearity, the synchronous state becomes unstable for certain values of the coupling parameter, and the system settles at the border between synchrony and asynchrony, what can be denoted as partial synchrony. We find that an external common forcing can result in two synchronous states: (i) a weak forcing entrains only the mean field, whereas the individual oscillators remain unlocked to the force and, correspondingly, to the mean field; (ii) a strong forcing fully synchronizes the system, making the phases of all oscillators identical. Analytical results are confirmed by numerics.
Y1  - 2009
UR  - http://pre.aps.org/
U6  - https://doi.org/10.1103/PhysRevE.80.046211
SN  - 1539-3755
ER  -