Entrainment of randomly coupled oscillator networks by a pacemaker
arXiv:cond-mat/0402519 · doi:10.1103/PhysRevLett.93.254101
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.
4 pages, 3 figures, revtex 4, submitted to Phys. Rev. Lett
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