# 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} }

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…

## 70 Citations

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