  We study impact of multiplexing on the global phase synchronizability of
different layers in the delayed coupled multiplex networks. We find that at
strong couplings, the multiplexing induces the global synchronization in sparse
networks. The introduction of global synchrony depends on the connection
density of the layers being multiplexed, which further depends on the
underlying network architecture. Moreover, multiplexing may lead to a
transition from a quasi-periodic or chaotic evolution to a periodic evolution.
For the periodic case, the multiplexing may lead to a change in the period of
the dynamical evolution. Additionally, delay in the couplings may bring upon
synchrony to those multiplex networks which do not exhibit synchronization for
the undelayed evolution. Using a simple example of two globally connected
layers forming a multiplex network, we show how delay brings upon a possibility
for the inter layer global synchrony, that is not possible for the undelayed
evolution.
