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Chin. Phys. B, 2023, Vol. 32(10): 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 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
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.
Keywords:  multi-layer networks      Kuramoto model      explosive synchronization      delay  
Received:  15 November 2022      Revised:  04 February 2023      Accepted manuscript online:  10 February 2023
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  89.75.-k (Complex systems)  
  89.75.Fb (Structures and organization in complex systems)  
Corresponding Authors:  Yan-Liang Jin     E-mail:  jinyanliang@staff.shu.edu.cn

Cite this article: 

Yan-Liang Jin(金彦亮), Qian-Yuan Han(韩钱源), Run-Zhu Guo(郭润珠), Yuan Gao(高塬), and Li-Quan Shen(沈礼权) Explosive synchronization of multi-layer complex networks based on star connection between layers with delay 2023 Chin. Phys. B 32 100507

[1] Watts D J and Strogatz S H 1998 Nature 393 440
[2] Barabasi A L and Albert R 1999 Science 286 509
[3] Zhou W C, Chen L M, Bi H J and Hu X 2015 Phys. Rev. E 92 012812
[4] Zou Y and Li H H 2014 Chin. Phys. Lett. 31 100501
[5] Zhu L H 2016 Chin. Phys. Lett. 33 050501
[6] Rosato V, Issacharoff L, Tiriticco F, Meloni S and Porcellinis S D 2008 International Journal of Critical Infrastructures 4 63
[7] Schneider C M, Yazdani N, Nuno A M and Havlin 2013 Sci. Rep. 3 1969
[8] Shen J and Tang L K 2018 Chin. Phys. B 27 100503
[9] Su G F, Ruan Z Y, Guan S G and Liu Z H 2013 Europhys. Lett. 103 48004
[10] Kuramoto Y 1984 ??? (Berlin: Springer)
[11] Zhang X, Boccaletti S and Guan S 2015 Phys. Rev. Lett. 114 038701
[12] Rodrigues F A, Peron T K D, Ji P and Kurths J 2016 Phys. Rep. 610 1
[13] Gómez -Gardeñes J, Gómez S, Arenas A and Moreno Y 2011 Phys. Rev. Lett. 106 128701
[14] Leyva I, Sevilla-Escoboza R, Buldú J M, et al. 2012 Phys. Rev. Lett. 108 168702
[15] Zhang X, Hu X and Kurths J 2013 Phys. Rev. E. 88 010802
[16] Achlioptas D, D'Souza R M and Spencer J 2009 Science 323 1453
[17] Cho Y S, Kim J S, Park J, et al. 2009 Phys. Rev. Lett. 103 135702
[18] Zhang X, Hu X, Kurths J, et al. 2013 Phys. Rev. E 88 010802
[19] Hu X, Boccaletti S, Huang W, et al. 2015 Sci. Rep. 4 7262
[20] Hsia C H, Jung C Y, Kwon B and Ueda Y 2020 Journal of Differential Equations 268 7897
[21] Wu H, Kang L and Liu Z H 2018 Sci. Rep. 8 15521
[22] Aleta A and Moreno Y 2019 Ann. Rev. Condens. Matter Phys. 10 45
[23] Liu X F, Chen H J and Sun W J 2021 Physica A 564 125518
[24] Shu R, Chen W and Xiao J H 2019 Acta Phys. Sin. 68 180503 (in Chinese)
[25] Aleta A and Moreno Y 2019 Ann. Rev. Condens. Matter Phys. 10 45
[26] Jin Y L, Yao L, Wang R, Wang X, Luo X T and Guo W S 2019 Chin. Phys. B 28 070502
[27] Jin Y L, Guo R Z, Yu X Q, et al. 2021 Chin. Phys. B 30 120505
[28] Li J, Luan Y, Wu X, et al. 2021 Chaos 31 073101
[29] Li P, Zhang K and Xu X 2013 Phys. Rev. E 87 042803
[30] Strogatz S H 2000 Physica D 143 1
[31] Pikovsky A and Rosenblum M 2015 Chaos 25 097616
[32] Liu H, Wan H B, Chi K T and Lu J H 2016 IEEE Transactions on Circuits and Systems I Regular Papers 63 2010
[33] Liu H, Xu J Q, Li Z Y and Zeng Z G 2020 IEEE Transactions on Circuits and Systems I Regular Papers 67 1740
[34] Liu H, Li J, Li Z Y, Zeng Z G and Lu J H 2022 IEEE Trans. Cybern. 52 2110
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