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Oscillations of complex networks

Xingang Wang·Ying-Cheng Lai·Chong Heng Lai
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Abstract

A complex network processing information or physical flows is usually characterized by a number of macroscopic quantities such as the diameter and the betweenness centrality. An issue of significant theoretical and practical interest is how such a network responds to sudden changes caused by attacks or disturbances. By introducing a model to address this issue, we find that, for a finite-capacity network, perturbations can cause the network to \emph{oscillate} persistently in the sense that the characterizing quantities vary periodically or randomly with time. We provide a theoretical estimate of the critical capacity-parameter value for the onset of the network oscillation. The finding is expected to have broad implications as it suggests that complex networks may be structurally highly dynamic.

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Xingang Wang, Ying-Cheng Lai, Chong Heng Lai. 2006-07-14. Oscillations of complex networks. https://doi.org/10.1103/physreve.74.066104

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