Optimized network structure for full-synchronization
Optimized network structure for full-synchronization
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DOI：
10.1016/j.cnsns.2008.09.032
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发表时间：
2009-06-01
影响因子：
3.9
通讯作者：
Piqueira, J. R. C.
中科院分区：
文献类型：
--
作者：
Carareto, R.;Orsatti, F. M.;Piqueira, J. R. C.
具有不同固有频率的 Kuramoto 振荡器网络经过优化，可增强同步性。所有节点输入均通过节点连通性进行归一化，并且在这种情况下确定了网络结构的一些重要属性：（i）优化的网络在相邻节点的固有频率之间呈现出很强的反相关性：（ii）这种反相关性应尽可能高，因为节点之间的平均路径长度保持与随机网络中一样小：以及（iii）在节点固有频率和连通性之间没有任何关系的情况下获得高反相关性。我们还提出了一种网络构造模型，该模型表明，通过随机重新布线完全反相关网络的一部分链路可以实现高反相关和小平均路径，并且这些网络呈现最佳同步特性。 (C) 2008 Elsevier B.V. 保留所有权利。
A network of Kuramoto oscillators with different natural frequencies is optimized for enhanced synchronizability. All node inputs are normalized by the node connectivity and some important properties of the network Structure are determined in this case: (i) optimized networks present a strong anti-correlation between natural frequencies of adjacent nodes: (ii) this anti-correlation should be as high as possible since the average path length between nodes is maintained as small as in random networks: and (iii) high anti-correlation is obtained without any relation between nodes natural frequencies and the degree of connectivity. We also propose a network construction model with which it is shown that high anti-correlation and small average paths may be achieved by randomly rewiring a fraction of the links of a totally anti-correlated network, and that these networks present optimal synchronization properties. (C) 2008 Elsevier B.V. All rights reserved.