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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 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 |
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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.
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Received: 02 March 2021
Revised: 16 April 2021
Accepted manuscript online: 10 May 2021
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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89.75.-k
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(Complex systems)
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89.75.Fb
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(Structures and organization in complex systems)
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Corresponding Authors:
Yan-Liang Jin
E-mail: wuhaide@shu.edu.cn
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Cite this article:
Yan-Liang Jin(金彦亮), Run-Zhu Guo(郭润珠), Xiao-Qi Yu(于晓琪), and Li-Quan Shen(沈礼权) Explosive synchronization of multi-layer complex networks based on inter-layer star network connection 2021 Chin. Phys. B 30 120505
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[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 SD 2008 Int. J. Crit. Infrastruct. 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 Chemical Oscillations, Waves, and Turbulence (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 and Sendiña-Nadal I, et al 2012 Phys Rev Lett 108 168702
[15] Zhang X, Hu X and Kurths J 2013 Phys. Rev. E 88 010802(R)
[16] Zhao X Y, Zhou J, Zhu S B, Ma C and Lu J A 2020 Express Briefs 67 290
[17] Hsia C H, Jung C Y, Kwon B and Ueda Y 2020 J. Differential Equations 268 7897
[18] Wu H, Kang L and Liu Z H 2018 Scientific Reports 8 15521
[19] Shu R, Chen W and Xiao J H 2019 Acta Phys. Sin. 68 180503 (in Chinese)
[20] Aleta A and Moreno Y 2019 Annu. Rev. Condens. Matter Phys. 10 45
[21] Liu X F, Chen H J and Sun W J 2021 Physica A 564 122518
[22] Jalan S, Kachhvah A D and Jeong H 2020 J. Comput. Sci. 46 101177
[23] Jin Y L, Yao L, Wang R, Wang X, Luo X T and Guo W S 2019 Chin. Phys. B 28 070502
[24] Li P, Zhang K and Xu X 2013 Phys. Rev. E 87 042803
[25] Strogatz S H 2000 Physica D 143 1
[26] Pikovsky A and Rosenblum M 2015 Chaos 25 097616 |
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