# Kuramoto model with frequency-degree correlations on complex networks

@article{Coutinho2013KuramotoMW,
title={Kuramoto model with frequency-degree correlations on complex networks},
author={Bruno Coutinho and Alexander V. Goltsev and Sergey N. Dorogovtsev and Jos{\'e} F. F. Mendes},
journal={Physical Review E},
year={2013},
volume={87},
pages={032106}
}
• Published 24 November 2012
• Physics
• Physical Review E
We study the Kuramoto model on complex networks, in which natural frequencies of phase oscillators and the vertex degrees are correlated. Using the annealed network approximation and numerical simulations, we explore a special case in which the natural frequencies of the oscillators and the vertex degrees are linearly coupled. We find that in uncorrelated scale-free networks with the degree distribution exponent $2l\ensuremath{\gamma}l3$, the model undergoes a first-order phase transition…

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