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.Comment: 15 pages, 7 figure
