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 -