STRUCTURAL EFFECTS ON SYNCHRONIZABILITY OF SCALE-FREE NETWORKS

Jian-Guo Liu (), Tao Zhou (), Qiang Guo () and Bing-Hong Wang ()
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Jian-Guo Liu: Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, P. R. China;
Tao Zhou: Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, P. R. China;
Qiang Guo: Dalian Nationalities University, Dalian 116600, P. R. China
Bing-Hong Wang: Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, P. R. China

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 09, 1359-1366

Abstract: In this paper, we numerically investigate the structural characteristics that affect the synchronizability of coupled identical oscillators on scale-free networks. By using the edge-exchange method, we can change the network structure with degree sequence fixed. An optimal algorithm, namely Tabu Search, is applied, respectively, to enhance and weaken the synchronizability. The numerical results indicate that the synchronizability is most sensitive to the maximal betweenness. By tracking the optimization process, most previous works suggest that the synchonizability can be enhanced by reducing assortative coefficient and clustering coefficient; however, interestingly, our numerical simulations show that the depression of synchronizability also corresponds to the reduction process of those two coefficients.

Keywords: Scale-free networks; synchronizability; assortative coefficient; 89.75.Da; 05.45.-; 05.45.Xt (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012960

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