  By means of numerical analysis conducted with the aid of the computer, the
collective synchronization of coupled phase oscillators in the Kuramoto model
in the connected regime of random networks of various sizes is studied. The
oscillators synchronize and achieve phase coherence, and this process is not
significantly affected by the level of connectivity of the network. If the
probability that two oscillators are coupled is around the network connectivity
threshold synchronization still occurs, although in a more attenuated way. If
the size of the network is sufficiently large the oscillators have a phase
transition.
