Dynamical robustness analysis of weighted complex networks

Zhiwei He, Shuai Liu and Meng Zhan

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 18, 4181-4191

Abstract: Robustness of weighted complex networks is analyzed from nonlinear dynamical point of view and with focus on different roles of high-degree and low-degree nodes. We find that the phenomenon for the low-degree nodes being the key nodes in the heterogeneous networks only appears in weakly weighted networks and for weak coupling. For all other parameters, the heterogeneous networks are always highly vulnerable to the failure of high-degree nodes; this point is the same as in the structural robustness analysis. We also find that with random inactivation, heterogeneous networks are always more robust than the corresponding homogeneous networks with the same average degree except for one special parameter. Thus our findings give an integrated picture for the dynamical robustness analysis on complex networks.

Keywords: Complex networks; Weighted complex networks; Robustness; Dynamical robustness analysis; Coupled oscillators (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:18:p:4181-4191

DOI: 10.1016/j.physa.2013.05.005

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