# Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies.

@article{Gao2020ReductionOO, title={Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies.}, author={Jian Gao and Konstantinos Efstathiou}, journal={Physical review. E}, year={2020}, volume={101 2-1}, pages={ 022302 } }

We consider the synchronization of oscillators in complex networks where there is an interplay between the oscillator dynamics and the network topology. Through a remarkable transformation in parameter space and the introduction of virtual frequencies we show that Kuramoto oscillators on annealed networks, with or without frequency-degree correlation, and Kuramoto oscillators on complete graphs with frequency-weighted coupling can be transformed to Kuramoto oscillators on complete graphs with a… CONTINUE READING

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