Effects of frustration on explosive synchronization

doi:10.1007/s11467-016-0597-y

Frontiers of Physics

2016, Vol. 11

Issue (6): 110504 https://doi.org/10.1007/s11467-016-0597-y

本期目录

Effects of frustration on explosive synchronization

Xia Huang¹,Jian Gao²,Yu-Ting Sun²,Zhi-Gang Zheng³,Can Xu^2,^*(

)

¹. Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
². Department of Physics and the Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing 100875, China
³. College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China

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Abstract：

In this study, we consider the emergence of explosive synchronization in scale-free networks by considering the Kuramoto model of coupled phase oscillators. The natural frequencies of oscillators are assumed to be correlated with their degrees and frustration is included in the system. This assumption can enhance or delay the explosive transition to synchronization. Interestingly, a de-synchronization phenomenon occurs and the type of phase transition is also changed. Furthermore, we provide an analytical treatment based on a star graph, which resembles that obtained in scale-free networks. Finally, a self-consistent approach is implemented to study the de-synchronization regime. Our findings have important implications for controlling synchronization in complex networks because frustration is a controllable parameter in experiments and a discontinuous abrupt phase transition is always dangerous in engineering in the real world.

Key words： coupled phase oscillator explosive synchronization frustration

收稿日期: 2016-04-08 出版日期: 2016-06-06

Corresponding Author(s): Can Xu

引用本文:

. [J]. Frontiers of Physics, 2016, 11(6): 110504.
Xia Huang,Jian Gao,Yu-Ting Sun,Zhi-Gang Zheng,Can Xu. Effects of frustration on explosive synchronization. Front. Phys. , 2016, 11(6): 110504.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-016-0597-y
https://academic.hep.com.cn/fop/CN/Y2016/V11/I6/110504

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