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Synchronization in random networks with given expected degree sequences

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  • Checco, Paolo
  • Biey, Mario
  • Kocarev, Ljupco

Abstract

Synchronization in random networks with given expected degree sequences is studied. We also investigate in details the synchronization in networks whose topology is described by classical random graphs, power-law random graphs and hybrid graphs when N→∞. In particular, we show that random graphs almost surely synchronize. We also show that adding small number of global edges to a local graph makes the corresponding hybrid graph to synchronize.

Suggested Citation

  • Checco, Paolo & Biey, Mario & Kocarev, Ljupco, 2008. "Synchronization in random networks with given expected degree sequences," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 562-577.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:3:p:562-577
    DOI: 10.1016/j.chaos.2006.05.063
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    References listed on IDEAS

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    1. Richard J. Williams & Neo D. Martinez, 2000. "Simple rules yield complex food webs," Nature, Nature, vol. 404(6774), pages 180-183, March.
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    Cited by:

    1. Polynikis, A. & di Bernardo, M. & Hogan, S.J., 2009. "Synchronizability of coupled PWL maps," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1353-1367.
    2. Mishkovski, Igor & Righero, Marco & Biey, Mario & Kocarev, Ljupco, 2011. "Enhancing robustness and synchronizability of networks homogenizing their degree distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4610-4620.
    3. Liu, Tao & Zhao, Jun & Hill, David J., 2009. "Synchronization of complex delayed dynamical networks with nonlinearly coupled nodes," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1506-1519.
    4. Lu, Jianquan & Ho, Daniel W.C., 2008. "Local and global synchronization in general complex dynamical networks with delay coupling," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1497-1510.

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