Synchronization in clustered random networks
Synchronization in clustered random networks
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DOI：
10.1103/physreve.87.032807
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发表时间：
2012-10
期刊：
影响因子：
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通讯作者：
T. Peron;F. Rodrigues;J. Kurths
中科院分区：
文献类型：
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作者：
T. Peron;F. Rodrigues;J. Kurths
本文研究了由Kuramoto振子组成的随机簇网络的同步问题。更具体地说，通过发展平均场分析，我们发现三阶环的存在对网络同步并不起重要作用，这表明随机簇状网络的同步可以用基于树的理论来描述，即使在高聚类值的情况下也是如此。为了支持我们的发现，我们提供了考虑簇状和非簇状网络的数值模拟，这与我们的理论结果很好地吻合。
In this paper we study synchronization of random clustered networks consisting of Kuramoto oscillators. More specifically, by developing a mean-field analysis, we find that the presence of cycles of order three does not play an important role on network synchronization, showing that the synchronization of random clustered networks can be described by tree-based theories, even for high values of clustering. In order to support our findings, we provide numerical simulations considering clustered and non-clustered networks, which are in good agreement with our theoretical results.