Stable Chimeras and Independently Synchronizable Clusters
Stable Chimeras and Independently Synchronizable Clusters
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DOI：
10.1103/physrevlett.119.084101
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发表时间：
2017-08-24
影响因子：
8.6
通讯作者：
Motter, Adilson E.
中科院分区：
文献类型：
--
作者：
Cho, Young Sul;Nishikawa, Takashi;Motter, Adilson E.
集群同步是网络自组织成同步集合模式的一种现象。研究表明，通过网络的对称性可以捕获稳定集群同步的各种模式。本文建立了将任意对称簇划分为可独立同步的簇集的理论基础，其中每个簇集中单个簇的同步稳定性与其他所有簇的同步稳定性解耦。利用这个框架，我们提出了一种新的方法，通过捕获组成整个完全对称网络的两个或多个对称簇（至少一个稳定和一个不稳定）来找到永久稳定的嵌合体状态。
Cluster synchronization is a phenomenon in which a network self-organizes into a pattern of synchronized sets. It has been shown that diverse patterns of stable cluster synchronization can be captured by symmetries of the network. Here, we establish a theoretical basis to divide an arbitrary pattern of symmetry clusters into independently synchronizable cluster sets, in which the synchronization stability of the individual clusters in each set is decoupled from that in all the other sets. Using this framework, we suggest a new approach to find permanently stable chimera states by capturing two or more symmetry clusters-at least one stable and one unstable-that compose the entire fully symmetric network.