Abstract:
Most of the previous studies on synchrony in
multiplex networks have been investigated using
different types of intralayer network architectures
which are either static or temporal. Effect of
a temporal layer on intralayer synchrony in a
multilayered network still remains elusive. In this
paper, we discuss intralayer synchrony in a multiplex
network consisting of static and temporal layers
and how a temporal layer influences other static
layers to enhance synchrony simultaneously. We
analytically derive local stability conditions for
intralayer synchrony based on the master stability
function approach. The analytically derived results
are illustrated by numerical simulations on up to
five-layers multiplex networks with the paradigmatic
Lorenz system as the node dynamics in each
individual layer.
