收稿日期: 2019-03-18
网络出版日期: 2021-06-27
基金资助
上海市科委资助项目(19511102803)
Explosive synchronisation of multi-layer networks based on frequency-weighted coupled model
Received date: 2019-03-18
Online published: 2021-06-27
金彦亮, 姚林, 王雪, 罗雪涛 . 基于频率权重耦合模型的多层复杂网络爆发式同步[J]. 上海大学学报(自然科学版), 2021 , 27(3) : 492 -502 . DOI: 10.12066/j.issn.1007-2861.2131
Synchronisation is a prevalent and universal dynamic behaviour of complex systems. Based on the critical coupling strength of explosive synchronisation in multi-layer complex networks, a frequency-weighted Kuramoto model was developed in this study. We obtained the critical coupling strength for explosive synchronisation through field tests, self-consistent analysis, and numerical simulation. The theoretical analysis and simulation results show that the critical value is related to the strength of the interlayer interaction and the average degree of the network. Increasing the interaction between layers prevents explosive synchronisation, whereas increasing the average degree of the network facilitates explosive synchronisation. The results are useful for studies on complex networks and systems.
| [1] | Strogatz S H. Exploring complex networks[J]. Nature, 2001,410(6825):268-276. |
| [2] | Newman M. Networks: an introduction[J]. Astronomische Nachrichten, 2010,327(8):741-743. |
| [3] | Albert R, Barabasi A L. Statistical mechanics of complex networks [J]. Review of Modern Physics, 2001, 74(1): xii. |
| [4] | Dietert H. Stability and bifurcation for the Kuramoto model[J]. Journal De Mathématiques Pures Et Appliquées, 2016,105(4):451-489. |
| [5] | Zhang F, Liao X, Zhang G. Some new results for the generalized Lorenz system[J]. Qualitative Theory of Dynamical Systems, 2016,16(3):1-11. |
| [6] | Fitzhugh R. Computation of impulse initiation and saltatory conduction in a myelinated nerve fiber[J]. Biophysical Journal, 1962,2(1):11-21. |
| [7] | Nagumo J, Arimoto S, Yoshizawa S. An active pulse transmission line simulating nerve axon[J]. Proceedings of the IRE, 1962,50(10):2061-2070. |
| [8] | Gómez-Gardenes J, Gómez S, Arenas A, et al. Explosive synchronization transitions in scale-free networks[J]. Physical Review Letters, 2011,106(12):128701. |
| [9] | Li P, Zhang K, Xu X, et al. Reexamination of explosive synchronization in scale-free networks: the effect of disassortativity[J]. Physical Review E: Statistical, Nonlinear & Soft Matter Physics, 2013,87(4-B):1-5. |
| [10] | Leyva I, Sendina-Nadal I, Almendral J A, et al. Explosive synchronization in weighted complex networks[J]. Physical Review E: Statistical, Nonlinear & Sofo Matter Physics, 2013,88(4):042808. |
| [11] | Zhang X, Hu X, Kurths J, et al. Explosive synchronization in a general complex network[J]. Physical Review E: Statistical, Nonlinear & Soft Matter Physics, 2013,88(1):010802. |
| [12] | Zhou W, Chen L, Bi H, et al. Explosive synchronization with asymmetric frequency distribution[J]. Physical Review E, 2015,92(1):012812. |
| [13] | Rosato V, Issacharoff L, Tiriticco F, et al. Modelling interdependent infrastructures using interacting dynamical models[J]. International Journal of Critical Infrastructures, 2016,4(1/2):63-79. |
| [14] | Schneider C M, Yazdani N, Araújo N A M, et al. Towards designing robust coupled networks[J]. Scientific Reports, 2013,3:1969-1977. |
| [15] | Su G, Ruan Z, Guan S, et al. Explosive synchronization on co-evolving networks[J]. EPL (Europhysics Letters), 2013,103(4):48004. |
| [16] | Zhang X, Boccaletti S, Guan S, et al. Explosive synchronization in adaptive and multilayer networks[J]. Physical Review Letters, 2015,114(3):038701. |
| [17] | Jiang X, Li M, Zheng Z, et al. Effect of externality in multiplex networks on one-layer synchronization[J]. Journal of the Korean Physical Society, 2015,66(11):1777-1782. |
| [18] | Kachhvah A D, Jalan S. Multiplexing induced explosive synchronization in Kuramoto oscillators with inertia[J]. EPL (Europhysics Letters), 2017,119(6):60005-60011. |
| [19] | Restrepo J G, Hunt B R, Ott E. The onset of synchronization in large networks of coupled oscillators[J]. Physical Review E, 2005,71:036151. |
| [20] | Pikovsky A, Rosenblum M. Dynamics of globally coupled oscillators: progress and perspectives[J]. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015,25(9):097616. |
/
| 〈 |
|
〉 |
