Europhys. Lett.
Volume 68, Number 4, November 2004
Page(s) 603 - 609
Section Interdisciplinary physics and related areas of science and technology
Published online 20 October 2004
Europhys. Lett., 68 (4), pp. 603-609 (2004)
DOI: 10.1209/epl/i2004-10238-x

Synchronization of Kuramoto oscillators in scale-free networks

Y. Moreno and A. F. Pacheco

Departamento de Física Teórica, Universidad de Zaragoza - Zaragoza 50009, Spain, and Instituto de Biocomputación y Física de Sistemas Complejos (BIFI) Universidad de Zaragoza - Zaragoza 50009, Spain

received 18 June 2004; accepted in final form 23 September 2004
published online 20 October 2004

In this work, we study the synchronization of coupled phase oscillators on the underlying topology of scale-free networks. In particular, we assume that each network's component is an oscillator and that each interacts with the others following the Kuramoto model. We then study the onset of global phase synchronization and fully characterize the system's dynamics. We also found that the resynchronization time of a perturbed node decays as a power law of its connectivity, providing a simple analytical explanation to this interesting behavior.

89.75.-k - Complex systems.
05.45.Xt - Synchronization; coupled oscillators.
89.75.Fb - Structures and organization in complex systems.

© EDP Sciences 2004