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Supply networks: Instabilities without overload

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Abstract

Supply and transport networks support much of our technical infrastructure as well as many biological processes. Their reliable function is thus essential for all aspects of life. Transport processes involving quantities beyond the pure loads exhibit alternative collective dynamical options compared to processes exclusively characterized by loads. Here we analyze the stability and bifurcations in oscillator models describing electric power grids and demonstrate that these networks exhibit instabilities without overloads. This phenomenon may well emerge also in other sufficiently complex supply or transport networks, including biological transport processes.

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Author information

Author notes

  1. Dirk Witthaut

    Present address: Forschungszentrum Jülich, Institute for Energy and Climate Research (IEK-STE), 52425, Jülich, Germany

Authors and Affiliations

  1. Network Dynamics, Max Planck Institute for Dynamics and Self-Organization (MPI DS), 37077, Göttingen, Germany

    Debsankha Manik, Dirk Witthaut, Benjamin Schäfer, Moritz Matthiae, Andreas Sorge, Martin Rohden, Eleni Katifori & Marc Timme

  2. Faculty of Physics, University of Göttingen, 37077, Göttingen, Germany

    Eleni Katifori & Marc Timme

  3. Otto-von-Guericke-Universität Magdeburg, 39106, Magdeburg, Germany

    Benjamin Schäfer

Authors
  1. Debsankha Manik
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  2. Dirk Witthaut
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  7. Eleni Katifori
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  8. Marc Timme
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Correspondence to Dirk Witthaut.

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These authors contributed equally to this work.

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Manik, D., Witthaut, D., Schäfer, B. et al. Supply networks: Instabilities without overload. Eur. Phys. J. Spec. Top. 223, 2527–2547 (2014). https://doi.org/10.1140/epjst/e2014-02274-y

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  • DOI: https://doi.org/10.1140/epjst/e2014-02274-y

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