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
        }
}
  • Jian Gao, Konstantinos Efstathiou
  • Published 2020
  • Physics, Medicine
  • Physical review. E
  • 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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