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Structural instability of large-scale functional networks
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| Title: | Structural instability of large-scale functional networks |
| Authors: | Mizutaka, Shogo Browse this author | | Yakubo, Kousuke Browse this author →KAKEN DB |
| Issue Date: | 20-Jul-2017 |
| Publisher: | PLOS |
| Journal Title: | PLoS ONE |
| Volume: | 12 |
| Issue: | 7 |
| Start Page: | e0181247 |
| Publisher DOI: | 10.1371/journal.pone.0181247 |
| Abstract: | We study how large functional networks can grow stably under possible cascading overload failures and evaluated the maximum stable network size above which even a small-scale failure would cause a fatal breakdown of the network. Employing a model of cascading failures induced by temporally fluctuating loads, the maximum stable size nmax has been calculated as a function of the load reduction parameter rthat characterizes how quickly the total load is reduced during the cascade. If we reduce the total load sufficiently fast ( r >= r(c)), the network can grow infinitely. Otherwise, nmax is finite and increases with r. For a fixed r(< r(c)), nmax for a scale-free network is larger than that for an exponential network with the same average degree. We also discuss how one detects and avoids the crisis of a fatal breakdown of the network from the relation between the sizes of the initial network and the largest component after an ordinarily occurring cascading failure. |
| Rights: | https://creativecommons.org/licenses/by/4.0/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/67132 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 矢久保 考介
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