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A Mean Field Model of Coupled Cascades in Flow Networks

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Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 9578))

Abstract

We introduce an analytical model of cascading behavior of interdependent networks under stressing conditions and find evidence of abrupt breakdown phenomena. Our results indicate that coupling several infrastructures can diminish the impact of small cascades at the cost of increasing system wide ones. As a consequence, the enhancement of the systemic risk failures with increasing network size, represents an effect to be accounted while planning projects aiming to integrate national networks into “super-networks”.

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Notes

  1. 1.

    Man-made forms of energy that enable energy to be carried and can then be converted back into any other form of energy.

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Acknowledgements

AS, SB and GD acknowledge the support from EU HOME/2013/CIPS/AG/4000005013 project CI2C. AS acknowledges the support from CNR-PNR National Project Crisis-Lab, EU FET project DOLFINS nr 640772 and EU FET project MULTIPLEX nr.317532. GD acknowledges the support from FP7 project n.261788 AFTER.

Any opinion, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessary reflect the views of the funding parties.

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Correspondence to Antonio Scala .

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© 2016 Springer International Publishing Switzerland

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Scala, A., Sebastio, S., De Sanctis Lucentini, P.G., D’Agostino, G. (2016). A Mean Field Model of Coupled Cascades in Flow Networks. In: Rome, E., Theocharidou, M., Wolthusen, S. (eds) Critical Information Infrastructures Security. CRITIS 2015. Lecture Notes in Computer Science(), vol 9578. Springer, Cham. https://doi.org/10.1007/978-3-319-33331-1_24

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  • DOI: https://doi.org/10.1007/978-3-319-33331-1_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-33330-4

  • Online ISBN: 978-3-319-33331-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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