  We study the synchronization of chaotic units connected through time-delayed
fluctuating interactions. We focus on small-world networks of Bernoulli and
Logistic units with a fixed chiral backbone. Comparing the synchronization
properties of static and fluctuating networks, we find that random network
alternations can enhance the synchronizability. Synchronized states appear to
be maximally stable when fluctuations are much faster than the time-delay, even
when the instantaneous state of the network does not allow synchronization.
This enhancing effect disappears for very slow fluctuations. For fluctuation
time scales of the order of the time-delay, a desynchronizing resonance is
reported. Moreover, we observe characteristic oscillations, with a periodicity
related to the coupling delay, as the system approaches or drifts away from the
synchronized state.
