  Networked nonlinear systems present a variety of emergent phenomena as a
result of the mutual interactions between their units. An interesting feature
of these systems is the presence of stable periodic behavior even when each
unit oscillates chaotically if in isolation. Surprisingly, the mechanism in
which the network interaction replaces chaos by periodicity is still poorly
understood. Here, we show that such an onset of regularity can occur via
replication of periodic windows. This phenomenon multiplies the stability
domains in the system parameter space, not only suppressing chaos but also
making the network less vulnerable to external disturbances such as shocks and
noise. Moreover, we observe that the network cluster synchronizes for the
parameters corresponding to the replica periodic windows. To confirm these
observations, we employ the formalism of the master stability function
demonstrating that the complete synchronized state is indeed transversally
unstable in the replica windows.
