One-way dependent clusters and stability of cluster synchronization in directed networks.
One-way dependent clusters and stability of cluster synchronization in directed networks.
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DOI：
10.1038/s41467-021-24363-7
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发表时间：
2021-07-01
影响因子：
16.6
通讯作者：
Storace M
中科院分区：
文献类型：
--
作者：
Lodi M;Sorrentino F;Storace M
耦合振荡器网络中的簇同步是科学界广泛关注的主题，其应用范围从神经到社会和动物网络以及技术系统。这些网络中的大多数是有向的，信息或能量流从给定节点单向传播到其他节点。然而，大多数关于集群同步的工作都集中在无向网络上。在这里，我们的特点一般有向网络的集群同步。我们的第一个观察结果是，在有向网络中，节点集群A可能单向依赖于另一个集群B：在这种情况下，如果B稳定，A可能保持同步，但反之则不成立。本文的主要贡献是一种方法，将集团稳定性问题转化为不可约形式。通过这种方式，我们将原始问题分解为最低维度的子问题，这使我们能够立即检测集群之间的相互依赖关系。我们将我们的分析应用于两个感兴趣的例子，一个是小提琴演奏者执行音乐作品的人类网络，其中音乐家可以激活或停用定向交互，另一个是具有定向层到层连接的多层神经网络。有向网络中的簇形成机制不同于无向网络。Lodi等人提出了一种计算有向网络中节点簇之间相互依赖性的方法。他们表明，集群可以是单向依赖的，就像在社交网络和神经网络中发现的那样。
Cluster synchronization in networks of coupled oscillators is the subject of broad interest from the scientific community, with applications ranging from neural to social and animal networks and technological systems. Most of these networks are directed, with flows of information or energy that propagate unidirectionally from given nodes to other nodes. Nevertheless, most of the work on cluster synchronization has focused on undirected networks. Here we characterize cluster synchronization in general directed networks. Our first observation is that, in directed networks, a cluster A of nodes might be one-way dependent on another cluster B: in this case, A may remain synchronized provided that B is stable, but the opposite does not hold. The main contribution of this paper is a method to transform the cluster stability problem in an irreducible form. In this way, we decompose the original problem into subproblems of the lowest dimension, which allows us to immediately detect inter-dependencies among clusters. We apply our analysis to two examples of interest, a human network of violin players executing a musical piece for which directed interactions may be either activated or deactivated by the musicians, and a multilayer neural network with directed layer-to-layer connections. Mechanisms of cluster formation in networks with directed links differ from those in undirected networks. Lodi et al. propose a method to compute interdependencies among clusters of nodes in directed networks. They show that clusters can be one-way dependent, as found in social and neural networks.
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影响因子：
19.6
作者：
通讯作者：
--
影响因子：
8.6
作者：
Cho, Young Sul;Nishikawa, Takashi;Motter, Adilson E.
通讯作者：
Motter, Adilson E.
影响因子：
16.6
作者：
Della Rossa, Fabio;Pecora, Louis;Sorrentino, Francesco
通讯作者：
Sorrentino, Francesco
DOI：
10.1090/s0273-0979-06-01108-6
发表时间：
2006-01-01
影响因子：
1.3
作者：
Golubitsky, Martin;Stewart, Ian
通讯作者：
Stewart, Ian
影响因子：
2.9
作者：
Aguiar, Manuela A. D.;Dias, Ana Paula S.
通讯作者：
Dias, Ana Paula S.