  We study self-organized (s-) and driven (d-) synchronization in coupled map
networks for some simple networks, namely two and three node networks and their
natural generalization to globally coupled and complete bipartite networks. We
use both linear stability analysis and Lyapunov function approach for this
study and determine stability conditions for synchronization. We see that most
of the features of coupled dynamics of small networks with two or three nodes,
are carried over to the larger networks of the same type. The phase diagrams
for the networks studied here have features very similar to the different kinds
of networks studied in Ref. \cite{sarika-REA2}. The analysis of the dynamics of
the difference variable corresponding to any two nodes shows that when the two
nodes are in driven synchronization, all the coupling terms cancel out whereas
when they are in self-organized synchronization, the direct coupling term
between the two nodes adds an extra decay term while the other couplings cancel
out.
