中国物理B ›› 2019, Vol. 28 ›› Issue (7): 70502-070502.doi: 10.1088/1674-1056/28/7/070502

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Explosive synchronization of multi-layer frequency-weighted coupled complex systems

Yan-Liang Jin(金彦亮), Lin Yao(姚林), Wei-Si Guo(郭维思), Rui Wang(王瑞), Xue Wang(王雪), Xue-Tao Luo(罗雪涛)   

  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 Engineering, University of Warwick, Coventry, UK;
    3 Alan Turing Institute, London, UK
  • 收稿日期:2019-03-09 修回日期:2019-04-15 出版日期:2019-07-05 发布日期:2019-07-05
  • 通讯作者: Yan-Liang Jin E-mail:wuhaide@shu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 61771299), the Key Laboratory of Speciality Fiber Optics and Optical Access Networks, Shanghai University, China (Grant No. SKLSFO2012-14), Funding of the Key Laboratory of Wireless Sensor Network and Communication, Shanghai Institute of Microsystem and Information Technology, China, and Funding of the Shanghai Education Committee, Chinese Academy of Sciences, and Shanghai Science Committee (Grant Nos. 12511503303, 14511105602, and 14511105902).

Explosive synchronization of multi-layer frequency-weighted coupled complex systems

Yan-Liang Jin(金彦亮)1, Lin Yao(姚林)1, Wei-Si Guo(郭维思)2,3, Rui Wang(王瑞)1, Xue Wang(王雪)1, Xue-Tao Luo(罗雪涛)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 Engineering, University of Warwick, Coventry, UK;
    3 Alan Turing Institute, London, UK
  • Received:2019-03-09 Revised:2019-04-15 Online:2019-07-05 Published:2019-07-05
  • Contact: Yan-Liang Jin E-mail:wuhaide@shu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 61771299), the Key Laboratory of Speciality Fiber Optics and Optical Access Networks, Shanghai University, China (Grant No. SKLSFO2012-14), Funding of the Key Laboratory of Wireless Sensor Network and Communication, Shanghai Institute of Microsystem and Information Technology, China, and Funding of the Shanghai Education Committee, Chinese Academy of Sciences, and Shanghai Science Committee (Grant Nos. 12511503303, 14511105602, and 14511105902).

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摘要：

Synchronization is a phenomenon that is ubiquitous in engineering and natural ecosystems. The study of explosive synchronization on a single-layer network gives the critical transition coupling strength that causes explosive synchronization. However, no significant findings have been made on multi-layer complex networks. This paper proposes a frequency-weighted Kuramoto model on a two-layer network and the critical coupling strength of explosive synchronization is obtained by both theoretical analysis and numerical validation. It is found that the critical value is affected by the interaction strength between layers and the number of network oscillators. The explosive synchronization will be hindered by enhancing the interaction and promoted by increasing the number of network oscillators. Our results have importance across a range of engineering and biological research fields.

关键词: explosive synchronization, Kuramoto model, complex systems

Abstract:

Synchronization is a phenomenon that is ubiquitous in engineering and natural ecosystems. The study of explosive synchronization on a single-layer network gives the critical transition coupling strength that causes explosive synchronization. However, no significant findings have been made on multi-layer complex networks. This paper proposes a frequency-weighted Kuramoto model on a two-layer network and the critical coupling strength of explosive synchronization is obtained by both theoretical analysis and numerical validation. It is found that the critical value is affected by the interaction strength between layers and the number of network oscillators. The explosive synchronization will be hindered by enhancing the interaction and promoted by increasing the number of network oscillators. Our results have importance across a range of engineering and biological research fields.

Key words: explosive synchronization, Kuramoto model, complex systems

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)