中国物理B ›› 2021, Vol. 30 ›› Issue (12): 120505-120505.doi: 10.1088/1674-1056/abff41

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Explosive synchronization of multi-layer complex networks based on inter-layer star network connection

Yan-Liang Jin(金彦亮)1,†, Run-Zhu Guo(郭润珠)1, Xiao-Qi Yu(于晓琪)2, and Li-Quan Shen(沈礼权)1   

  1. 1 Key Laboratory of Specialty Fiber Optics and Optical Access Networks, Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication, Shanghai Institute for Advanced Communication and Data Science, Shanghai University, Shanghai 200072, China;
    2 School of Communication and Information Engineering(SCIE), Shanghai University, Shanghai 200000, China
  • 收稿日期:2021-03-02 修回日期:2021-04-16 接受日期:2021-05-10 出版日期:2021-11-15 发布日期:2021-11-15
  • 通讯作者: Yan-Liang Jin E-mail:wuhaide@shu.edu.cn

Explosive synchronization of multi-layer complex networks based on inter-layer star network connection

Yan-Liang Jin(金彦亮)1,†, Run-Zhu Guo(郭润珠)1, Xiao-Qi Yu(于晓琪)2, and Li-Quan Shen(沈礼权)1   

  1. 1 Key Laboratory of Specialty Fiber Optics and Optical Access Networks, Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication, Shanghai Institute for Advanced Communication and Data Science, Shanghai University, Shanghai 200072, China;
    2 School of Communication and Information Engineering(SCIE), Shanghai University, Shanghai 200000, China
  • Received:2021-03-02 Revised:2021-04-16 Accepted:2021-05-10 Online:2021-11-15 Published:2021-11-15
  • Contact: Yan-Liang Jin E-mail:wuhaide@shu.edu.cn

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摘要： Explosive synchronization (ES) is a first-order transition phenomenon that is ubiquitous in various physical and biological systems. In recent years, researchers have focused on explosive synchronization in a single-layer network, but few in multi-layer networks. This paper proposes a frequency-weighted Kuramoto model in multi-layer complex networks with star connection between layers and analyzes the factors affecting the backward critical coupling strength by both theoretical analysis and numerical validation. Our results show that the backward critical coupling strength of each layer network is influenced by the inter-layer interaction strength and the average degree. The number of network layers, the number of nodes, and the network topology can not directly affect the synchronization of the network. Enhancing the inter-layer interaction strength can prevent the emergence of explosive synchronization and increasing the average degree can promote the generation of explosive synchronization.

关键词: explosive synchronization, Kuramoto model, multi-layer networks

Abstract: Explosive synchronization (ES) is a first-order transition phenomenon that is ubiquitous in various physical and biological systems. In recent years, researchers have focused on explosive synchronization in a single-layer network, but few in multi-layer networks. This paper proposes a frequency-weighted Kuramoto model in multi-layer complex networks with star connection between layers and analyzes the factors affecting the backward critical coupling strength by both theoretical analysis and numerical validation. Our results show that the backward critical coupling strength of each layer network is influenced by the inter-layer interaction strength and the average degree. The number of network layers, the number of nodes, and the network topology can not directly affect the synchronization of the network. Enhancing the inter-layer interaction strength can prevent the emergence of explosive synchronization and increasing the average degree can promote the generation of explosive synchronization.

Key words: explosive synchronization, Kuramoto model, multi-layer networks

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
89.75.-k (Complex systems) 89.75.Fb (Structures and organization in complex systems)