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Manipulating directed networks for better synchronization
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Abstract. In this paper, we studied the strategies to enhance synchronization
on directed networks by manipulating a fixed number of links. We proposed
a centrality-based manipulating (CBM) method, where the node centrality
is measured by the well-known PageRank algorithm. Extensive numerical
simulation on many modeled networks demonstrated that the CBM method is
more effective in facilitating synchronization than the degree-based manipulating
method and the random manipulating method for adding or removing links.
The reason is that the CBM method can effectively narrow the incoming degree
distribution and reinforce the hierarchical structure of the network. Furthermore,
we apply the CBM method to the links rewiring procedure where at each
step one link is removed and one new link is added. The CBM method helps
to decide which links should be removed or added. After several steps, the
resulting networks are very close to the optimal structure from the theoretical
analysis and the evolutionary optimization algorithm. The numerical simulations
on the Kuramoto model further demonstrate that our method has an advantage in
shortening the convergence time to synchronization on directed networks.
Full paper：http://stacks.iop.org/1367-2630/14/083006
https://m.sciencenet.cn/blog-329471-600295.html
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