Evolution of synchrony under combination of coupled cell networks
Evolution of synchrony under combination of coupled cell networks
复制标题
耦合小区网络组合下的同步演化
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
H. Ruan
中科院分区：
文献类型：
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作者：
M. Aguiar;H. Ruan
对大型耦合单元网络进行建模的一种自然方式是通过二进制网络操作来组合较小的网络。在这篇文章中，我们考虑了网络上的几种非乘积二元运算，如连接和合并，并考察了在这些运算下同步子空间格的演化。得到了组合网络的同步子空间的分类结果，从而阐明了组合网络的同步子空间格与其分支之间的关系。然而，在初始网络具有相同边类型的情况下，该分类仅适用于与所考虑的操作兼容的那些同步子空间。基于分类结果，我们举例说明了如何利用初始同步子空间格重构组合网络的同步子空间格。此外，我们还展示了如何将分类结果用于分析同步模式的进化适应度。
A natural way of modelling large coupled cell networks is to combine smaller networks through binary network operations. In this paper, we consider several non-product binary operations on networks such as join and coalescence, and examine the evolution of the lattice of synchrony subspaces under these operations. Classification results are obtained for synchrony subspaces of the combined network, which clarify the relation between the lattice of synchrony subspaces of the combined network and its components. Yet, in the case when the initial networks have the same edge type, this classification only applies to those synchrony subspaces that are compatible with respect to the considered operation. Based on the classification results, we give examples to show how the lattice of synchrony subspaces of the combined network can be reconstructed using the initial ones. Also, we show how the classification results can be applied to analyse the evolutionary fitness of synchrony patterns.