Dynamical robustness analysis of weighted complex networks |
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Authors: | Zhiwei He Shuai Liu Meng Zhan |
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Affiliation: | 1. Wuhan Center for Magnetic Resonance, State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;2. University of the Chinese Academy of Sciences, Beijing 100049, China |
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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. |
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Keywords: | Complex networks Weighted complex networks Robustness Dynamical robustness analysis Coupled oscillators |
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