TY - JOUR A1 - Komarov, Maxim A1 - Gupta, Shamik A1 - Pikovskij, Arkadij T1 - Synchronization transitions in globally coupled rotors in the presence of noise and inertia: Exact results T2 - epl : a letters journal exploring the frontiers of physics N2 - We study a generic model of globally coupled rotors that includes the effects of noise, phase shift in the coupling, and distributions of moments of inertia and natural frequencies of oscillation. As particular cases, the setup includes previously studied Sakaguchi-Kuramoto, Hamiltonian and Brownian mean-field, and Tanaka-Lichtenberg-Oishi and Acebron-Bonilla-Spigler models. We derive an exact solution of the self-consistent equations for the order parameter in the stationary state, valid for arbitrary parameters in the dynamics, and demonstrate nontrivial phase transitions to synchrony that include reentrant synchronous regimes. Copyright (C) EPLA, 2014 Y1 - 2014 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/37885 SN - 0295-5075 SN - 1286-4854 VL - 106 IS - 4 PB - EDP Sciences CY - Mulhouse ER -