@article{KomarovGuptaPikovskij2014, author = {Komarov, Maxim and Gupta, Shamik and Pikovskij, Arkadij}, title = {Synchronization transitions in globally coupled rotors in the presence of noise and inertia: Exact results}, series = {epl : a letters journal exploring the frontiers of physics}, volume = {106}, journal = {epl : a letters journal exploring the frontiers of physics}, number = {4}, publisher = {EDP Sciences}, address = {Mulhouse}, issn = {0295-5075}, doi = {10.1209/0295-5075/106/40003}, pages = {6}, year = {2014}, abstract = {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}, language = {en} }