Cluster Synchronization in Multiplex Networks

We study the impact of interaction of nodes in a layer of a multiplex network on the dynamical behavior and cluster synchronization of these nodes in other layers. We find that nodes interactions in one layer affects the cluster synchronizability of another layer in many different ways. While multiplexing with a sparse network enhances the synchronizability multiplexing with a dense network suppresses the cluster synchronizability with the network architecture deciding the impact of the enhancement and suppression. Additionally, at weak couplings the enhancement in the cluster synchronizability due to multiplexing remains of the driven type, while for strong couplings the multiplexing may lead to a transition to the self-organized mechanism.