2024-03-28T21:40:55Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/671322022-11-17T02:08:08Zhdl_2115_20045hdl_2115_139Structural instability of large-scale functional networksMizutaka, Shogo1000040200480Yakubo, Kousukeopen accessCreative Commons Attribution 4.0 International421We 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.PLOS2017-07-20engjournal articleVoRhttp://hdl.handle.net/2115/67132https://doi.org/10.1371/journal.pone.01812471932-6203PLoS ONE127e0181247https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/67132/1/journal.pone.0181247.pdfapplication/pdf1.6 MB2017-07-20