  We analyze the synchronization dynamics of a model obtained from the phase
reduction of the mean-field complex Ginzburg-Landau equation with
heterogeneity. We present exact results that uncover the role of dissipative
and reactive couplings on the synchronization transition when shears and
natural frequencies are independently distributed. As it occurs in the purely
dissipative case, an excess of shear diversity prevents the onset of
synchronization, but this does not hold true if coupling is purely reactive. In
this case the synchronization threshold turns out to depend on the mean of the
shear distribution, but not on all the other distribution's moments.
