  Explosive synchronization (ES) of coupled oscillators on networks is shown to
be originated from existence of correlation between natural frequencies of
oscillators and degrees of corresponding nodes. Here, we demonstrate that ES is
a generic feature of multiplex network of second-order Kuramoto oscillators and
can exist in absence of a frequency-degree correlation. A monoplex network of
second-order Kuramoto oscillators bearing homogeneous (heterogeneous)
degree-distribution is known to display the first-order (second-order)
transition to synchronization. We report that multiplexing of two such networks
having homogeneous degree-distribution support the first-order transition in
both the layers thereby facilitating ES. More interesting is the multiplexing
of a layer bearing heterogeneous degree-distribution with another layer bearing
homogeneous degree-distribution, which induces a first-order (ES) transition in
the heterogeneous layer which was incapable of showing the same in the
isolation. Further, we report that such induced ES transition in the
heterogeneous layer of multiplex networks can be controlled by varying inter
and intra-layer coupling strengths. Our findings emphasize on importance of
multiplexing or impact of one layer on dynamical evolution of other layers of
systems having inherent multiplex or multilevel architecture.
