PMID: 18233714Feb 1, 2008

Complex network synchronizability: analysis and control

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Zhisheng DuanLin Huang

Abstract

In this paper, the investigation is first motivated by showing two examples of simple regular symmetrical graphs, which have the same structural parameters, such as average distance, degree distribution, and node betweenness centrality, but have very different synchronizabilities. For a given network with identical node dynamics, it is further shown that two key factors influencing the network synchronizability are the network inner linking matrix and the eigenvalues of the network topological matrix. Several examples are then provided to show that adding new edges to a network can either increase or decrease the network synchronizability. In searching for conditions under which the network synchronizability may be increased by adding edges, it is found that for networks with disconnected complementary graphs, adding edges never decreases their synchronizability. Moreover, it is found that an unbounded synchronized region is always easier to analyze than a bounded synchronized region. Therefore to effectively enhance the network synchronizability, a design method is finally presented for the inner linking matrix of rank 1 such that the resultant network has an unbounded synchronized region, for the case where the synchronous st...Continue Reading

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Jul 23, 2005·Chaos·Ljupco Kocarev, Paolo Amato
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Citations

Dec 3, 2008·Chaos·Guanrong Chen, Zhisheng Duan
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kezan LiXinchu Fu
May 22, 2010·Proceedings of the National Academy of Sciences of the United States of America·Takashi Nishikawa, Adilson E Motter
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lei WangYou-Xian Sun
Oct 27, 2012·Journal of Biological Dynamics·Yong Zhao, Zhaosheng Feng
Jul 16, 2017·Physical Review. E·Suman SahaSyamal K Dana
Sep 27, 2018·Physical Review. E·Pranay Deep RungtaSudeshna Sinha
Mar 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sarika JalanJürgen Kurths
Dec 18, 2020·Scientific Reports·Ali EbrahimiAli Masoudi-Nejad

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