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How important are hubs for the generation of extreme events in networks of excitable units?

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Abstract

We study scale-free networks of FitzHugh-Nagumo units whose collective dynamics exhibits rare and recurrent events of high amplitude (extreme events). We investigate which units play a crucial role in the generation of these events. Unexpectedly, we observe that extreme events originate from low-degree units, while high-degree units (hubs) appear to be crucial for the event to engulf the whole network.

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Authors and Affiliations

  1. Department of Epileptology, University of Bonn, Sigmund-Freud-Straße 25, 53105, Bonn, Germany

    Thorsten Rings, Gerrit Ansmann & Klaus Lehnertz

  2. Helmholtz-Institute for Radiation and Nuclear Physics, University of Bonn, Nussallee 14–16, 53115, Bonn, Germany

    Thorsten Rings, Gerrit Ansmann & Klaus Lehnertz

  3. Interdisciplinary Center for Complex Systems, University of Bonn, Brühler Straße 7, 53175, Bonn, Germany

    Gerrit Ansmann & Klaus Lehnertz

Authors
  1. Thorsten Rings
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  2. Gerrit Ansmann
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  3. Klaus Lehnertz
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Correspondence to Thorsten Rings, Gerrit Ansmann or Klaus Lehnertz.

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Rings, T., Ansmann, G. & Lehnertz, K. How important are hubs for the generation of extreme events in networks of excitable units?. Eur. Phys. J. Spec. Top. 226, 1963–1970 (2017). https://doi.org/10.1140/epjst/e2017-70021-3

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  • DOI: https://doi.org/10.1140/epjst/e2017-70021-3

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