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Supply networks: Instabilities without overload

MPS-Authors

Manik,  Debsankha
Max Planck Society;

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Witthaut,  Dirk
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

Schäfer,  Benjamin
Max Planck Society;

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Sorge,  Andreas
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Rohden,  Martin
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Katifori,  Eleni
Max Planck Research Group Physics of Biological Organization, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Timme,  Marc
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Manik, D., Witthaut, D., Schäfer, B., Matthiae, M., Sorge, A., Rohden, M., et al. (n.d.). Supply networks: Instabilities without overload. The European Physical Journal, 223, 2527-2547. doi:10.1140/epjst/e2014-02274-y.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0029-17F7-B
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.