TY  - JOUR
A1  - Tönjes, Ralf
A1  - Pikovsky, Arkady
T1  - Low-dimensional description for ensembles of identical phase oscillators subject to Cauchy noise
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We study ensembles of globally coupled or forced identical phase oscillators subject to independent white Cauchy noise. We demonstrate that if the oscillators are forced in several harmonics, stationary synchronous regimes can be exactly described with a finite number of complex order parameters. The corresponding distribution of phases is a product of wrapped Cauchy distributions. For sinusoidal forcing, the Ott-Antonsen low-dimensional reduction is recovered.
Y1  - 2020
U6  - https://doi.org/10.1103/PhysRevE.102.052315
SN  - 2470-0045
SN  - 2470-0053
VL  - 102
IS  - 5
PB  - American Physical Society
CY  - College Park
ER  -