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Chin. Phys. B, 2022, Vol. 31(2): 020504    DOI: 10.1088/1674-1056/ac3cb0
Special Issue: SPECIAL TOPIC— Interdisciplinary physics: Complex network dynamics and emerging technologies
TOPICAL REVIEW—Interdisciplinary physics: Complex network dynamics and emerging technologies Prev   Next  

Explosive synchronization: From synthetic to real-world networks

Atiyeh Bayani1, Sajad Jafari1,2,†, and Hamed Azarnoush1
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
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.
Keywords:  synchronization      explosive synchronization      Kuramoto oscillator      chaotic systems      neuronal networks      complex network  
Received:  15 July 2021      Revised:  21 November 2021      Accepted manuscript online:  29 November 2021
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.-a (Nonlinear dynamics and chaos)  
  87.19.lj (Neuronal network dynamics)  
  89.75.-k (Complex systems)  
Corresponding Authors:  Sajad Jafari     E-mail:  sajadjafari@aut.ac.ir

Cite this article: 

Atiyeh Bayani, Sajad Jafari, and Hamed Azarnoush Explosive synchronization: From synthetic to real-world networks 2022 Chin. Phys. B 31 020504

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