ENHANCING SYNCHRONIZABILITY ON GROWING NETWORKS
We investigate the effect of growth mechanisms on the synchronizability of dynamical networks. Unlike previous works, where synchronization is investigated for progressively larger ﬁxed number of nodes coupled in
a given topology e.g. in small-world or scale-free network models. We consider the effect of adding new nodes to an existing synchronized dynamical network using different growth algorithms. Our results show
that an algorithm that combines a version of preferential attachment mechanism with random bridge connections enhances the synchronizability of the resulting network by providing a compact eigenvalue spectrum
to the resulting network. We illustrate our results with numerical simulations.