Synchronization in interacting scale-free networks
1 Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR)-Physics Department, Universidad Nacional de Mar del Plata-CONICET - Funes 3350, (7600) Mar del Plata, Argentina
2 Center for Polymer Studies, Boston University - Boston, MA 02215, USA
Received: 8 May 2015
Accepted: 11 August 2015
We study the fluctuations of the interface, in the steady state, of the Surface Relaxation Model (SRM) in two scale-free interacting networks where a fraction q of nodes in both networks interact one to one through external connections. We find that as q increases the fluctuations on both networks decrease and thus the synchronization reaches an improvement of nearly 40% when q = 1. The decrease of the fluctuations on both networks is due mainly to the diffusion through external connections which allows to reducing the load in nodes by sending their excess mostly to low-degree nodes, which we report have the lowest heights. This effect enhances the matching of the heights of low- and high-degree nodes as q increases reducing the fluctuations. This effect is almost independent of the degree distribution of the networks which means that the interconnection governs the behavior of the process over its topology.
PACS: 68.35.Ct – Interface structure and roughness / 05.45.Xt – Synchronization; coupled oscillators / 89.75.Da – Systems obeying scaling laws
© EPLA, 2015