Breathing synchronization in interconnected networks
Abstract
Global synchronization in a complex network of oscillators emerges from the interplay between its topology and the dynamics of the pairwise interactions among its numerous components. When oscillators are spatially separated, however, a time delay appears in the interaction which might obstruct synchronization. Here we study the synchronization properties of interconnected networks of oscillators with a time delay between networks and analyze the dynamics as a function of the couplings and communication lag. We discover a new breathing synchronization regime, where two groups appear in each network synchronized at different frequencies. Each group has a counterpart in the opposite network, one group is in phase and the other in anti-phase with their counterpart. For strong couplings, instead, networks are internally synchronized but a phase shift between them might occur. The implications of our findings on several socio-technical and biological systems are discussed.
Cite
@article{arxiv.1304.5177,
title = {Breathing synchronization in interconnected networks},
author = {V. H. P. Louzada and N. A. M. Araújo and J. S. Andrade and H. J. Herrmann},
journal= {arXiv preprint arXiv:1304.5177},
year = {2013}
}
Comments
7 pages, 3 figures + 3 pages of Supplemental Material