Synchrony-optimized networks of non-identical Kuramoto oscillators
Synchrony-optimized networks of non-identical Kuramoto oscillators
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DOI：
10.1016/j.physleta.2007.11.069
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发表时间：
2008-04-07
影响因子：
2.6
通讯作者：
Brede, Markus
中科院分区：
文献类型：
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作者：
Brede, Markus
在这封信中，我们讨论了一种产生具有非均匀固有频率分布的Kuramoto振荡器的同步优化耦合结构的方法。该方法使我们能够将耦合网络的性质与其同步性联系起来。这些关系以前只是通过对相同振荡器情况的线性稳定性分析来建立的。我们进一步证明了振子布居的异质性也导致了最优耦合网络的异质性。给出了通过适当布置振荡器来提高给定网络的同步性的两条规则：(I)相邻振荡器的固有频率必须是反相关的；(Ii)频率幅度应该与它们所在节点的程度正相关。皇冠版权所有(C)2007由爱思唯尔出版。保留所有权利。
In this Letter we discuss a method for generating synchrony-optimized coupling architectures of Kuramoto oscillators with a heterogeneous distribution of native frequencies. The method allows us to relate the properties of the coupling network to its synchronizability. These relations were previously only established from a linear stability analysis of the identical oscillator case. We further demonstrate that the heterogeneity in the oscillator population produces heterogeneity in the optimal coupling network as well. Two rules for enhancing the synchronizability of a given network by a suitable placement of oscillators are given: (i) native frequencies of adjacent oscillators must be anti-correlated and (ii) frequency magnitudes should positively correlate with the degree of the node they are placed at. Crown Copyright (c) 2007 Published by Elsevier B.V. All rights reserved.