Necessary condition for frequency synchronization in network structures.
Necessary condition for frequency synchronization in network structures.
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DOI：
10.1103/physrevlett.104.108701
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发表时间：
2010-03
影响因子：
8.6
通讯作者：
F. Mori
中科院分区：
文献类型：
--
作者：
F. Mori
给出了网络结构中相位耦合振子频率完全同步的必要条件。一组站点的表面积被定义为该集合内的站点与该集合外的站点之间的链接数。必要条件是任何cN（0无穷大）集合的表面积。我们还提供了宏观频率同步的必要条件。因此，我们识别其中不发生上述类型的同步中的一个或两个的网络。
We present the necessary condition for complete frequency synchronization of phase-coupled oscillators in network structures. The surface area of a set of sites is defined as the number of links between the sites within the set and those outside the set. The necessary condition is that the surface area of any set of cN (0 infinity. We also provide the necessary condition for macroscopic frequency synchronization. Thus, we identify networks in which one or both of the above mentioned types of synchronization do not occur.