Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/6084
Title: Reexamination of explosive synchronization in scale-free networks : the effect of disassortativity
Authors: Li, P
Zhang, K
Xu, X
Zhang, J
Small, M
Keywords: Explosives
Heterogeneous networks
Topology
Issue Date: 3-Apr-2013
Publisher: American Physical Society
Source: Physical review. E, Statistical, nonlinear, and soft matter physics, Apr. 2013, v. 87, no. 4, 042803, p. 1-5 How to cite?
Journal: Physical review. E, Statistical, nonlinear, and soft matter physics 
Abstract: Previous work [ J. Gómez-Gardeñes, S. Gómez, A. Arenas and Y. Moreno Phys. Rev. Lett. 106 128701 (2011)] has reported that explosive synchronization can be achieved in heterogeneous networks with a microscopic correlation between the structural and dynamical properties of the networks. This phenomenon, however, cannot be observed in all heterogeneous networks even if this structure-dynamics correlation is preserved. It is therefore of particular interest to identify the general topological factors that can induce the first order synchronization transition and to understand the underlying mechanisms. Here we investigate this issue using the scenario of the smooth transformation from homogeneous Erdös-Rènyi networks to heterogeneous Barabàsi-Albert networks. Specifically, we scrutinize how local and global properties of the network change during this process, and how these properties are associated with the emergence of explosive synchronization. We find that the local degree-degree correlation in the network contributes primarily to explosive synchronization, other than the global topological property or starlike subgraphs. We furthermore demonstrate that the degree of disassortative mixing also has a great effect in the presence of explosive synchronization.
URI: http://hdl.handle.net/10397/6084
ISSN: 1539-3755
EISSN: 1550-2376
DOI: 10.1103/PhysRevE.87.042803
Rights: Physical Review E © 2013 American Physical Society. The Journal's web site is located at http://pre.aps.org/
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