中国物理B ›› 2023, Vol. 32 ›› Issue (10): 100507-100507.doi: 10.1088/1674-1056/acbaf1

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Explosive synchronization of multi-layer complex networks based on star connection between layers with delay

Yan-Liang Jin(金彦亮)1,†, Qian-Yuan Han(韩钱源)1, Run-Zhu Guo(郭润珠)2, Yuan Gao(高塬)1, 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(SHU), Shanghai 200000, China
  • 收稿日期:2022-11-15 修回日期:2023-02-04 接受日期:2023-02-10 出版日期:2023-09-21 发布日期:2023-10-09
  • 通讯作者: Yan-Liang Jin E-mail:jinyanliang@staff.shu.edu.cn

Explosive synchronization of multi-layer complex networks based on star connection between layers with delay

Yan-Liang Jin(金彦亮)1,†, Qian-Yuan Han(韩钱源)1, Run-Zhu Guo(郭润珠)2, Yuan Gao(高塬)1, 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(SHU), Shanghai 200000, China
  • Received:2022-11-15 Revised:2023-02-04 Accepted:2023-02-10 Online:2023-09-21 Published:2023-10-09
  • Contact: Yan-Liang Jin E-mail:jinyanliang@staff.shu.edu.cn

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摘要： Explosive synchronization (ES) is a kind of first-order jump phenomenon that exists in physical and biological systems. In recent years, researchers have focused on ES between single-layer and multi-layer networks. Most research on complex networks with delay has focused on single-layer or double-layer networks, multi-layer networks are seldom explored. In this paper, we propose a Kuramoto model of frequency weights in multi-layer complex networks with delay and star connections between layers. Through theoretical analysis and numerical verification, the factors affecting the backward critical coupling strength are analyzed. The results show that the interaction between layers and the average node degree has a direct effect on the backward critical coupling strength of each layer network. The location of the delay, the size of the delay, the number of network layers, the number of nodes, and the network topology are revealed to have no direct impact on the backward critical coupling strength of the network. Delay is introduced to explore the influence of delay and other related parameters on ES.

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

Abstract: Explosive synchronization (ES) is a kind of first-order jump phenomenon that exists in physical and biological systems. In recent years, researchers have focused on ES between single-layer and multi-layer networks. Most research on complex networks with delay has focused on single-layer or double-layer networks, multi-layer networks are seldom explored. In this paper, we propose a Kuramoto model of frequency weights in multi-layer complex networks with delay and star connections between layers. Through theoretical analysis and numerical verification, the factors affecting the backward critical coupling strength are analyzed. The results show that the interaction between layers and the average node degree has a direct effect on the backward critical coupling strength of each layer network. The location of the delay, the size of the delay, the number of network layers, the number of nodes, and the network topology are revealed to have no direct impact on the backward critical coupling strength of the network. Delay is introduced to explore the influence of delay and other related parameters on ES.

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

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)