Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators.
Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators.
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DOI：
10.1063/1.4994819
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发表时间：
2017-07
期刊：
影响因子：
--
通讯作者：
Bassett DS
中科院分区：
文献类型：
--
作者：
Papadopoulos L;Kim JZ;Kurths J;Bassett DS
通过复杂网络耦合的不同振荡器的同步是集体行为的一个重要例子，有趣的是，网络相互作用的结构组织如何影响这一过程。一些研究已经探索并发现了通过对网络进行有目的的改变来实现同步的最佳拓扑。另一方面，许多自然系统的连接模式往往不是静态的，而是随着时间的推移根据其动态进行调制。然而，这种共同进化以及各个单元的动态可以塑造网络本身的组织的程度还不太清楚。在这里，我们研究最初随机连接，但局部自适应网络的仓本振荡器。特别是，该系统采用了共同进化的重新布线策略，仅依赖于瞬时，成对的相位差相邻振荡器，并保存的边缘总数，允许本地重组的影响被隔离。我们发现，一个简单的规则，它保留了更多的异相振荡器之间的连接，同时重新布线更多的同相振荡器之间的连接，可以导致最初无序的网络组织成更结构化的拓扑结构，支持增强同步动态。我们研究这个过程如何随着时间的推移展开，找到依赖于振荡器的固有频率，全局耦合，和网络密度，在自适应机制如何重组网络和影响的动态。重要的是，对于足够大的耦合和充分的适应后，所得到的网络表现出有趣的特性，包括度频率和频率相邻频率的相关性。这些属性以前与最佳同步或爆炸性转变有关，其中网络是使用全局信息构建的。相反，通过考虑结构和动力学之间的时间依赖性相互作用，这项工作提供了一种机制，通过这种机制，紧急现象和组织可以出现在复杂的系统利用本地规则。
Synchronization of non-identical oscillators coupled through complex networks is an important example of collective behavior, and it is interesting to ask how the structural organization of network interactions influences this process. Several studies have explored and uncovered optimal topologies for synchronization by making purposeful alterations to a network. On the other hand, the connectivity patterns of many natural systems are often not static, but are rather modulated over time according to their dynamics. However, this co-evolution and the extent to which the dynamics of the individual units can shape the organization of the network itself are less well understood. Here, we study initially randomly connected but locally adaptive networks of Kuramoto oscillators. In particular, the system employs a co-evolutionary rewiring strategy that depends only on the instantaneous, pairwise phase differences of neighboring oscillators, and that conserves the total number of edges, allowing the effects of local reorganization to be isolated. We find that a simple rule—which preserves connections between more out-of-phase oscillators while rewiring connections between more in-phase oscillators—can cause initially disordered networks to organize into more structured topologies that support enhanced synchronization dynamics. We examine how this process unfolds over time, finding a dependence on the intrinsic frequencies of the oscillators, the global coupling, and the network density, in terms of how the adaptive mechanism reorganizes the network and influences the dynamics. Importantly, for large enough coupling and after sufficient adaptation, the resulting networks exhibit interesting characteristics, including degree–frequency and frequency–neighbor frequency correlations. These properties have previously been associated with optimal synchronization or explosive transitions in which the networks were constructed using global information. On the contrary, by considering a time-dependent interplay between structure and dynamics, this work offers a mechanism through which emergent phenomena and organization can arise in complex systems utilizing local rules.
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影响因子：
2.6
作者：
Brede, Markus
通讯作者：
Brede, Markus
影响因子：
2.4
作者：
Bassett, Danielle S.;Alderson, David L.;Carlson, Jean M.
通讯作者：
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DOI：
10.1016/j.cnsns.2008.09.032
发表时间：
2009-06-01
影响因子：
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作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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影响因子：
4.6
作者：
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通讯作者：
Boccaletti, Stefano