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

Jian Gao; Konstantinos Efstathiou

doi:10.1103/PhysRevE.101.022302

Publication

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.

Research output: Contribution to journal › Article › Academic › peer-review

APA

Gao, J., & Efstathiou, K. (2020). Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies. Physical Review E, 101(2), [022302]. https://doi.org/10.1103/PhysRevE.101.022302

Author

Gao, Jian ; Efstathiou, Konstantinos. / Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies. In: Physical Review E. 2020 ; Vol. 101, No. 2.

Harvard

Gao, J & Efstathiou, K 2020, 'Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies', Physical Review E, vol. 101, no. 2, 022302. https://doi.org/10.1103/PhysRevE.101.022302

Standard

Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies. / Gao, Jian; Efstathiou, Konstantinos.

In: Physical Review E, Vol. 101, No. 2, 022302, 10.02.2020.

Research output: Contribution to journal › Article › Academic › peer-review

Vancouver

Gao J, Efstathiou K. Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies. Physical Review E. 2020 Feb 10;101(2). 022302. https://doi.org/10.1103/PhysRevE.101.022302

BibTeX

@article{e0885bd890ad4e6da2edbd7eeeed368f,

title = "Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies",

abstract = "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.",

keywords = "SYNCHRONIZATION, KURAMOTO, MODEL",

author = "Jian Gao and Konstantinos Efstathiou",

year = "2020",

month = feb,

day = "10",

doi = "10.1103/PhysRevE.101.022302",

language = "English",

volume = "101",

journal = "Physical Review E",

issn = "1539-3755",

publisher = "AMER PHYSICAL SOC",

number = "2",

}

RIS

TY - JOUR

T1 - Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies

AU - Gao, Jian

AU - Efstathiou, Konstantinos

PY - 2020/2/10

Y1 - 2020/2/10

N2 - 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.

AB - 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.

KW - SYNCHRONIZATION

KW - KURAMOTO

KW - MODEL

U2 - 10.1103/PhysRevE.101.022302

DO - 10.1103/PhysRevE.101.022302

M3 - Article

VL - 101

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 2

M1 - 022302

ER -

ID: 128198026

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