TY  - JOUR
A1  - Komarov, Maxim
A1  - Pikovskij, Arkadij
T1  - Multiplicity of singular synchronous States in the kuramoto model of coupled oscillators
T2  - Physical review letters
N2  - We study the Kuramoto model of globally coupled oscillators with a biharmonic coupling function. We develop an analytic self-consistency approach to find stationary synchronous states in the thermodynamic limit and demonstrate that there is a huge multiplicity of such states, which differ microscopically in the distributions of locked phases. These synchronous regimes already exist prior to the linear instability transition of the fully asynchronous state. In the presence of white Gaussian noise, the multiplicity is lifted, but the dependence of the order parameters on coupling constants remains nontrivial.
Y1  - 2013
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/34586
SN  - 0031-9007
SN  - 1079-7114
VL  - 111
IS  - 20
PB  - American Physical Society
CY  - College Park
ER  -