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.
Moreno2004 - Synchronization of Kuramoto oscillators in scale-free networks.pdf:Moreno2004 - Synchronization of Kuramoto oscillators in scale-free networks.pdf:PDF
%0 Journal Article
%1 Moreno2004
%A Moreno, Yamir
%A Pacheco, A. F.
%D 2004
%J EPL
%K graphs kuramoto networks oscillators scale-free synchronization oscillations
%N 4
%P 603--609
%R 10.1209/epl/i2004-10238-x
%T Synchronization of Kuramoto oscillators in scale-free networks
%V 68
%X 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.
@article{Moreno2004,
abstract = {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.},
added-at = {2011-06-14T14:11:09.000+0200},
author = {Moreno, Yamir and Pacheco, A. F.},
biburl = {https://www.bibsonomy.org/bibtex/2c60ec1a4d4f513d574bd4bbcba0b8897/rincedd},
doi = {10.1209/epl/i2004-10238-x},
file = {Moreno2004 - Synchronization of Kuramoto oscillators in scale-free networks.pdf:Moreno2004 - Synchronization of Kuramoto oscillators in scale-free networks.pdf:PDF},
groups = {public},
interhash = {5d2dad9de09c8f2f5216c237bb64ea51},
intrahash = {d15e113687c5c4c6ab16f6f6d09e1488},
journal = {EPL},
keywords = {graphs kuramoto networks oscillators scale-free synchronization oscillations},
number = 4,
pages = {603--609},
timestamp = {2011-06-14T14:12:55.000+0200},
title = {Synchronization of Kuramoto oscillators in scale-free networks},
username = {rincedd},
volume = 68,
year = 2004
}