TY  - JOUR
A1  - Dolmatova, Anastasiya V.
A1  - Goldobin, Denis S.
A1  - Pikovskij, Arkadij
T1  - Synchronization of coupled active rotators by common noise
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We study the effect of common noise on coupled active rotators. While such a noise always facilitates synchrony, coupling may be attractive (synchronizing) or repulsive (desynchronizing). We develop an analytical approach based on a transformation to approximate angle-action variables and averaging over fast rotations. For identical rotators, we describe a transition from full to partial synchrony at a critical value of repulsive coupling. For nonidentical rotators, the most nontrivial effect occurs at moderate repulsive coupling, where a juxtaposition of phase locking with frequency repulsion (anti-entrainment) is observed. We show that the frequency repulsion obeys a nontrivial power law.
Y1  - 2017
U6  - https://doi.org/10.1103/PhysRevE.96.062204
SN  - 2470-0045
SN  - 2470-0053
VL  - 96
SP  - E10648
EP  - E10657
PB  - American Physical Society
CY  - College Park
ER  -