@article{VlasovMacauPikovskij2014, author = {Vlasov, Vladimir and Macau, Elbert E. N. and Pikovskij, Arkadij}, title = {Synchronization of oscillators in a Kuramoto-type model with generic coupling}, series = {Chaos : an interdisciplinary journal of nonlinear science}, volume = {24}, journal = {Chaos : an interdisciplinary journal of nonlinear science}, number = {2}, publisher = {American Institute of Physics}, address = {Melville}, issn = {1054-1500}, doi = {10.1063/1.4880835}, pages = {7}, year = {2014}, abstract = {We study synchronization properties of coupled oscillators on networks that allow description in terms of global mean field coupling. These models generalize the standard Kuramoto-Sakaguchi model, allowing for different contributions of oscillators to the mean field and to different forces from the mean field on oscillators. We present the explicit solutions of self-consistency equations for the amplitude and frequency of the mean field in a parametric form, valid for noise-free and noise-driven oscillators. As an example, we consider spatially spreaded oscillators for which the coupling properties are determined by finite velocity of signal propagation. (C) 2014 AIP Publishing LLC.}, language = {en} }