Synchronization on small-world networks
Disordered Systems and Neural Networks
2009-11-07 v1
Abstract
We investigate collective synchronization in a system of coupled oscillators on small-world networks. The order parameters which measure synchronization of phases and frequencies are introduced and analyzed by means of dynamic simulations and finite-size scaling. Phase synchronization is observed to emerge in the presence of even a tiny fraction of shortcuts and to display saturated behavior for . This indicates that the same synchronizability as the random network (P=1) can be achieved with relatively small number of shortcuts. The transient behavior of the synchronization, obtained from the measurement of the relaxation time, is also discussed.
Cite
@article{arxiv.cond-mat/0110359,
title = {Synchronization on small-world networks},
author = {H. Hong and M. Y. Choi and Beom Jun Kim},
journal= {arXiv preprint arXiv:cond-mat/0110359},
year = {2009}
}