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Emergence of scale-free network with chaotic units

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  • Gong, Pulin
  • van Leeuwen, Cees

Abstract

To study the evolution of complex network with dynamical units, in this paper we consider the development of the network with chaotic units. By the addition of new nodes continuously and the adaptive rewiring of the connections according to the dynamic coherence of the activity patterns in the network, we can obtain that the growing network self-organizes into a complex network of which the connectivity distribution reveals a power law, at the same time, the network has a high clustering coefficient and small average shortest path length. The importance of chaos in the emergence of this type of scale-free network is investigated through comparing it to systems of periodic and stochastic units. The functional advantage of the self-organized network with dynamical units is revealed by showing the robustness of the spatiotemporal dynamics of the complex network.

Suggested Citation

  • Gong, Pulin & van Leeuwen, Cees, 2003. "Emergence of scale-free network with chaotic units," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 679-688.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:3:p:679-688
    DOI: 10.1016/S0378-4371(02)01735-1
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    References listed on IDEAS

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