Synchrony in Coupled Cell Networks
Synchrony in Coupled Cell Networks
复制标题
耦合单元网络中的同步
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Paula S. Dias
中科院分区：
文献类型：
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作者：
M. Aguiar;Roberto Frias;Paula S. Dias
耦合细胞系统是动力系统（细胞）的网络，其中细胞之间的联系通过网络结构，即耦合细胞网络来描述。同步子空间是由某些单元坐标的等式定义的空间，这些等式对于与给定网络结构相关的所有耦合单元系统是流动不变的。本文给出了一般网络的同步子空间格的获取方法，并给出了生成同步子空间格的算法。证明了这一问题可以简化为正则网络的同步子空间格。对于一个正则网络，我们基于网络邻接的特征值结构得到了同步子空间的格
Coupled cell systems are networks of dynamical systems (the cells), where the links between the cells are described through the network structure, the coupled cell network. Synchrony subspaces are spaces defined in terms of equalities of certain cell coordinates that are flow-invariant for all coupled cell systems associated with a given network structure. In this paper we show how to obtain the lattice of synchrony subspaces for a general network and present an algorithm that generates that lattice. We prove that this problem is reduced to get the lattice of synchrony subspaces for regular networks. For a regular network we obtain the lattice of synchrony subspaces based on the eigenvalue structure of the network adjacency