Average Range and Network Synchronizability |
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| Authors: | LIU Chao LI Rong DUAN Zhi-Sheng CHEN Guan-Rong |
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| Institution: | 1.Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China
;2.Department of Applied Mathematics, Shanghai Finance University, Shanghai 201209, China
;3.State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China
;4.Department of Electronic Engineering, City University of Hong Kong, Hong Kong, SAR, China |
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| Abstract: | The influence of structural properties of a network on the network synchronizability is studied by introducing a new concept of average range of edges. For both small-world and scale-free networks, the effect of average range on the synchronizability of networks with bounded or unboundedsynchronization regions is illustrated through numerical simulations. The relations between average range, range distribution, average distance, and maximum betweenness are also explored, revealing the effects of these factors on the network synchronizability of the small-world and scale-free networks, respectively. |
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| Keywords: | complex network synchronizability average range range distribution |
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