  We show that subsets of interacting oscillators may synchronize in different
ways within a single network. This diversity of synchronization patterns is
promoted by increasing the heterogeneous distribution of coupling weights
and/or asymmetries in small networks. We also analyze consistency, defined as
the persistence of coexistent synchronization patterns regardless of the
initial conditions. Our results show that complex weighted networks display
richer consistency than regular networks, suggesting why certain functional
network topologies are often constructed when experimental data are analyzed.
