Journal article

Coarse graining for synchronization in directed networks

  • Zeng, An Department of Physics, University of Fribourg, Switzerland
  • Lü, Linyuan Department of Physics, University of Fribourg, Switzerland
Published in:
  • Physical Review E - statistical, non linear and soft matter physics. - 2011, vol. 83, no. 5, p. 056123
English Coarse-graining model is a promising way to analyze and visualize large-scale networks. The coarse-grained networks are required to preserve statistical properties as well as the dynamic behaviors of the initial networks. Some methods have been proposed and found effective in undirected networks, while the study on coarse-graining directed networks lacks of consideration. In this paper we proposed a path-based coarse-graining (PCG) method to coarse grain the directed networks. Performing the linear stability analysis of synchronization and numerical simulation of the Kuramoto model on four kinds of directed networks, including tree networks and variants of Barabási-Albert networks, Watts-Strogatz networks, and Erdös-Rényi networks, we find our method can effectively preserve the network synchronizability.
Faculté des sciences et de médecine
Département de Physique
  • English
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