中国物理B ›› 2022, Vol. 31 ›› Issue (2): 20504-020504.doi: 10.1088/1674-1056/ac3cb0

所属专题： SPECIAL TOPIC — Interdisciplinary physics: Complex network dynamics and emerging technologies

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Explosive synchronization: From synthetic to real-world networks

Atiyeh Bayani1, Sajad Jafari1,2,†, and Hamed Azarnoush1   

  1. 1 Department of Biomedical Engineering, Amirkabir University of Technology, No. 350, Hafez Ave., Valiasr Square, Tehran 159163-4311, Iran;
    2 Health Technology Research Institute, Amirkabir University of Technology, No. 350, Hafez Ave., Valiasr Square, Tehran 159163-4311, Iran
  • 收稿日期:2021-07-15 修回日期:2021-11-21 接受日期:2021-11-29 出版日期:2022-01-13 发布日期:2022-01-22
  • 通讯作者: Sajad Jafari E-mail:sajadjafari@aut.ac.ir

Explosive synchronization: From synthetic to real-world networks

Atiyeh Bayani1, Sajad Jafari1,2,†, and Hamed Azarnoush1   

  1. 1 Department of Biomedical Engineering, Amirkabir University of Technology, No. 350, Hafez Ave., Valiasr Square, Tehran 159163-4311, Iran;
    2 Health Technology Research Institute, Amirkabir University of Technology, No. 350, Hafez Ave., Valiasr Square, Tehran 159163-4311, Iran
  • Received:2021-07-15 Revised:2021-11-21 Accepted:2021-11-29 Online:2022-01-13 Published:2022-01-22
  • Contact: Sajad Jafari E-mail:sajadjafari@aut.ac.ir

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摘要： Synchronization is a widespread phenomenon in both synthetic and real-world networks. This collective behavior of simple and complex systems has been attracting much research during the last decades. Two different routes to synchrony are defined in networks; first-order, characterized as explosive, and second-order, characterized as continuous transition. Although pioneer researches explained that the transition type is a generic feature in the networks, recent studies proposed some frameworks in which different phase and even chaotic oscillators exhibit explosive synchronization. The relationship between the structural properties of the network and the dynamical features of the oscillators is mainly proclaimed because some of these frameworks show abrupt transitions. Despite different theoretical analyses about the appearance of the first-order transition, studies are limited to the mean-field theory, which cannot be generalized to all networks. There are different real-world and man-made networks whose properties can be characterized in terms of explosive synchronization, e.g., the transition from unconsciousness to wakefulness in the brain and spontaneous synchronization of power-grid networks. In this review article, explosive synchronization is discussed from two main aspects. First, pioneer articles are categorized from the dynamical-structural framework point of view. Then, articles that considered different oscillators in the explosive synchronization frameworks are studied. In this article, the main focus is on the explosive synchronization in networks with chaotic and neuronal oscillators. Also, efforts have been made to consider the recent articles which proposed new frameworks of explosive synchronization.

关键词: synchronization, explosive synchronization, Kuramoto oscillator, chaotic systems, neuronal networks, complex network

Abstract: Synchronization is a widespread phenomenon in both synthetic and real-world networks. This collective behavior of simple and complex systems has been attracting much research during the last decades. Two different routes to synchrony are defined in networks; first-order, characterized as explosive, and second-order, characterized as continuous transition. Although pioneer researches explained that the transition type is a generic feature in the networks, recent studies proposed some frameworks in which different phase and even chaotic oscillators exhibit explosive synchronization. The relationship between the structural properties of the network and the dynamical features of the oscillators is mainly proclaimed because some of these frameworks show abrupt transitions. Despite different theoretical analyses about the appearance of the first-order transition, studies are limited to the mean-field theory, which cannot be generalized to all networks. There are different real-world and man-made networks whose properties can be characterized in terms of explosive synchronization, e.g., the transition from unconsciousness to wakefulness in the brain and spontaneous synchronization of power-grid networks. In this review article, explosive synchronization is discussed from two main aspects. First, pioneer articles are categorized from the dynamical-structural framework point of view. Then, articles that considered different oscillators in the explosive synchronization frameworks are studied. In this article, the main focus is on the explosive synchronization in networks with chaotic and neuronal oscillators. Also, efforts have been made to consider the recent articles which proposed new frameworks of explosive synchronization.

Key words: synchronization, explosive synchronization, Kuramoto oscillator, chaotic systems, neuronal networks, complex network

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.-a (Nonlinear dynamics and chaos) 87.19.lj (Neuronal network dynamics) 89.75.-k (Complex systems)