Criterion for the emergence of explosive synchronization transitions in networks of phase oscillators

Liuhua Zhu; Liang Tian; Daning Shi

doi:10.1103/PhysRevE.88.042921

Criterion for the emergence of explosive synchronization transitions in networks of phase oscillators

Liuhua Zhu, Liang Tian^*, Daning Shi^*

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Journal article › peer-review

44 Citations (Scopus)

Abstract

The emergence of explosive synchronization transitions in networks of phase oscillators recently has become one of the most interesting topics. It is widely believed that the large frequency mismatch of a pair of oscillators (also known as disassortativity in frequency) is a direct cause of an explosive synchronization. It is found that, besides the disassortativity in frequency, the disassortativity in node degree also shows up in connection with the first-order synchronization transition. In this paper, we simulate the Kuramoto model on top of a family of networks with different degree-degree and frequency-frequency correlation patterns. Results show that only when the degrees and natural frequencies of the network's nodes are both disassortative can an explosive synchronization occur.

Original language	English
Article number	042921
Journal	Physical Review E
Volume	88
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.88.042921
Publication status	Published - 28 Oct 2013

Scopus Subject Areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.88.042921

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title = "Criterion for the emergence of explosive synchronization transitions in networks of phase oscillators",

abstract = "The emergence of explosive synchronization transitions in networks of phase oscillators recently has become one of the most interesting topics. It is widely believed that the large frequency mismatch of a pair of oscillators (also known as disassortativity in frequency) is a direct cause of an explosive synchronization. It is found that, besides the disassortativity in frequency, the disassortativity in node degree also shows up in connection with the first-order synchronization transition. In this paper, we simulate the Kuramoto model on top of a family of networks with different degree-degree and frequency-frequency correlation patterns. Results show that only when the degrees and natural frequencies of the network's nodes are both disassortative can an explosive synchronization occur.",

author = "Liuhua Zhu and Liang Tian and Daning Shi",

note = "This work is supported by the Natural Science Foundation of Jiangsu Province for Youth (Grant No. BK20130777), by the China Postdoctoral Science Foundation (Grant No. 2013M540444), and by the Natural Science Foundation of China (Grant No. 11374159). Support from the Fundamental Research Funds for the Central Universities (Grant No. NZ2012312), the Jiangsu Planned Projects for Postdoctoral Research Funds (Grant No. 1202079C), and NSFC (Grant Nos. 11162019 and 11047003) is also acknowledged. ",

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AU - Zhu, Liuhua

AU - Tian, Liang

AU - Shi, Daning

N1 - This work is supported by the Natural Science Foundation of Jiangsu Province for Youth (Grant No. BK20130777), by the China Postdoctoral Science Foundation (Grant No. 2013M540444), and by the Natural Science Foundation of China (Grant No. 11374159). Support from the Fundamental Research Funds for the Central Universities (Grant No. NZ2012312), the Jiangsu Planned Projects for Postdoctoral Research Funds (Grant No. 1202079C), and NSFC (Grant Nos. 11162019 and 11047003) is also acknowledged.

PY - 2013/10/28

Y1 - 2013/10/28

N2 - The emergence of explosive synchronization transitions in networks of phase oscillators recently has become one of the most interesting topics. It is widely believed that the large frequency mismatch of a pair of oscillators (also known as disassortativity in frequency) is a direct cause of an explosive synchronization. It is found that, besides the disassortativity in frequency, the disassortativity in node degree also shows up in connection with the first-order synchronization transition. In this paper, we simulate the Kuramoto model on top of a family of networks with different degree-degree and frequency-frequency correlation patterns. Results show that only when the degrees and natural frequencies of the network's nodes are both disassortative can an explosive synchronization occur.

AB - The emergence of explosive synchronization transitions in networks of phase oscillators recently has become one of the most interesting topics. It is widely believed that the large frequency mismatch of a pair of oscillators (also known as disassortativity in frequency) is a direct cause of an explosive synchronization. It is found that, besides the disassortativity in frequency, the disassortativity in node degree also shows up in connection with the first-order synchronization transition. In this paper, we simulate the Kuramoto model on top of a family of networks with different degree-degree and frequency-frequency correlation patterns. Results show that only when the degrees and natural frequencies of the network's nodes are both disassortative can an explosive synchronization occur.

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Criterion for the emergence of explosive synchronization transitions in networks of phase oscillators

Abstract

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