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Structural Effects On Synchronizability Of Scale-Free Networks

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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;
    Department of Physics, University of Fribourg, Chemin du Musée 3, CH-1700 Fribourg, Switzerland)

  • TAO ZHOU

    (Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, P. R. China;
    Department of Physics, University of Fribourg, Chemin du Musée 3, CH-1700 Fribourg, Switzerland)

  • 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)

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.

Suggested Citation

  • Jian-Guo Liu & Tao Zhou & Qiang Guo & Bing-Hong Wang, 2008. "Structural Effects On Synchronizability Of Scale-Free Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(09), pages 1359-1366.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:09:n:s0129183108012960
    DOI: 10.1142/S0129183108012960
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