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Chin. Phys. B, 2019, Vol. 28(7): 070502    DOI: 10.1088/1674-1056/28/7/070502
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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 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
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.

Keywords:  explosive synchronization      Kuramoto model      complex systems  
Received:  09 March 2019      Revised:  15 April 2019      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  89.75.-k (Complex systems)  
  89.75.Fb (Structures and organization in complex systems)  
Fund: 

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).

Corresponding Authors:  Yan-Liang Jin     E-mail:  wuhaide@shu.edu.cn

Cite this article: 

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) Explosive synchronization of multi-layer frequency-weighted coupled complex systems 2019 Chin. Phys. B 28 070502

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