2013 Fiscal Year Final Research Report
Mathematical Research on Dynamical Robustness of Complex Networks
| Project/Area Number |
24700222
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Sensitivity informatics/Soft computing
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| Research Institution | The University of Tokyo |
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Principal Investigator |
TANAKA Gouhei 東京大学, 工学(系)研究科(研究院), 特任准教授 (90444075)
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| Project Period (FY) |
2012-04-01 – 2014-03-31
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| Keywords | 複雑ネットワーク / ロバスト性 / 振動子 / 相転移 / 分岐現象 / 同期現象 / 生体網 / 感染症伝播 |
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| Research Abstract |
Power networks, the Internet, biological networks, human contact networks are regarded as complex networks. In order to consider preventive measures for a breakdown of network functions, it is important to understand how the complex networks are robust against the failure of network elements. In this research, we have focused on the network function maintained by dynamical behavior on the network. We have developed the theoretical framework for network robustness analysis and performed applications. In particular, we have shown that the elements which have a small number of interactions can be important rather than hub elements in heterogeneously coupled oscillator networks. Further, we applied our method to the analysis of biological networks with complex structure and epidemic spreading in heterogeneously connected patches.
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