Phase synchronization on scale-free networks with community structure
Abstract
In this Letter, we propose a growing network model that can generate scale-free networks with a tunable community strength. The community strength, C, is directly measured by the ratio of the number of external edges to that of the internal ones; a smaller C corresponds to a stronger community structure. By using the Kuramoto model, we investigated the phase synchronization on this network and found an abnormal region (C⩽0.002), in which the network has even worse synchronizability than the unconnected case (C=0). On the other hand, the community effect will vanish when C exceeds 0.1. Between these two extreme regions, a stronger community structure will hinder global synchronization.
- Publication:
-
Physics Letters A
- Pub Date:
- September 2007
- DOI:
- 10.1016/j.physleta.2007.04.083
- arXiv:
- arXiv:cond-mat/0605024
- Bibcode:
- 2007PhLA..368..431Z
- Keywords:
-
- 89.75.Hc;
- 05.45.Xt;
- Networks and genealogical trees;
- Synchronization;
- coupled oscillators;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Statistical Mechanics;
- Physics - Physics and Society
- E-Print:
- 4 figures and 4 pages