Network synchronizability enhancement via adding antagonistic interactions

Yue Song, Xiaoqin Liu, Dingmei Wang, Pengfei Gao, Mengqi Xue
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Abstract

We discover a “less-is-more” effect that adding local antagonistic interactions (negative edge weights) can enhance the overall synchronizability of a dynamical network system. To explain this seemingly counterintuitive phenomenon, a condition is established to identify those edges the weight reduction of which improves the synchronizability index of the underlying network. We further reveal that this condition can be interpreted from the perspective of resistance distance and network community structure. The obtained result is also verified via numerical experiments on a 14-node network and a 118-node network. Our finding brings new thoughts and inspirations to the future directions of optimal network design problems.

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通过添加拮抗相互作用增强网络同步性
我们发现了一个“少即是多”的效应,即增加局部对抗相互作用(负边权)可以增强动态网络系统的整体同步性。为了解释这种看似违反直觉的现象,我们建立了一个条件来识别那些权重降低可以提高底层网络同步性指数的边缘。我们进一步发现,这种情况可以从抵抗距离和网络社区结构的角度来解释。并通过14节点网络和118节点网络的数值实验对所得结果进行了验证。这一发现为未来网络优化设计问题的研究方向提供了新的思路和启示。
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