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

Gao, J. & Efstathiou, K., 10-Feb-2020, In : Physical Review E. 101, 2, 6 p., 022302.

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

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DOI

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 rearranged, virtual frequency distribution and uniform coupling. The virtual frequency distribution encodes both the natural frequency distribution (dynamics) and the degree distribution (topology). We apply this transformation to give direct explanations to a variety of phenomena that have been observed in complex networks, such as explosive synchronization and vanishing synchronization onset.

Original languageEnglish
Article number022302
Number of pages6
JournalPhysical Review E
Volume101
Issue number2
Publication statusPublished - 10-Feb-2020

    Keywords

  • SYNCHRONIZATION, KURAMOTO, MODEL

ID: 128198026