Synchronization of interconnected networks: the role of connector nodes
Abstract
In this Letter we identify the general rules that determine the synchronization properties of interconnected networks. We study analytically, numerically and experimentally how the degree of the nodes through which two networks are connected influences the ability of the whole system to synchronize. We show that connecting the high-degree (low-degree) nodes of each network turns out to be the most (least) effective strategy to achieve synchronization. We find the functional relation between synchronizability and size for a given network-of-networks, and report the existence of the optimal connector link weights for the different interconnection strategies. Finally, we perform an electronic experiment with two coupled star networks and conclude that the analytical results are indeed valid in the presence of noise and parameter mismatches.
Keywords
Cite
@article{arxiv.1406.0081,
title = {Synchronization of interconnected networks: the role of connector nodes},
author = {J. Aguirre and R. Sevilla-Escoboza and R. Gutiérrez and D. Papo and J. M. Buldú},
journal= {arXiv preprint arXiv:1406.0081},
year = {2015}
}
Comments
Accepted for publication in Physical Review Letters. Main text: 5 pages, 4 figures. Supplemental material: 8 pages, 3 figures