Entrainment of randomly coupled oscillator networks by a pacemaker
Disordered Systems and Neural Networks
2009-11-10 v3 Adaptation and Self-Organizing Systems
Abstract
Entrainment by a pacemaker, representing an element with a higher frequency, is numerically investigated for several classes of random networks which consist of identical phase oscillators. We find that the entrainment frequency window of a network decreases exponentially with its depth, defined as the mean forward distance of the elements from the pacemaker. Effectively, only shallow networks can thus exhibit frequency-locking to the pacemaker. The exponential dependence is also derived analytically as an approximation for large random asymmetric networks.
Cite
@article{arxiv.cond-mat/0402519,
title = {Entrainment of randomly coupled oscillator networks by a pacemaker},
author = {Hiroshi Kori and Alexander S. Mikhailov},
journal= {arXiv preprint arXiv:cond-mat/0402519},
year = {2009}
}
Comments
4 pages, 3 figures, revtex 4, submitted to Phys. Rev. Lett