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Network-induced multistability through lossy coupling and exotic solitary states

Author

Listed:
  • Frank Hellmann

    (Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association)

  • Paul Schultz

    (Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association)

  • Patrycja Jaros

    (Łódź University of Technology)

  • Roman Levchenko

    (Taras Shevchenko National University of Kyiv)

  • Tomasz Kapitaniak

    (Łódź University of Technology)

  • Jürgen Kurths

    (Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association
    Humboldt University of Berlin
    Saratov State University)

  • Yuri Maistrenko

    (Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association
    Łódź University of Technology
    Institute of Mathematics and Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine)

Abstract

The stability of synchronised networked systems is a multi-faceted challenge for many natural and technological fields, from cardiac and neuronal tissue pacemakers to power grids. For these, the ongoing transition to distributed renewable energy sources leads to a proliferation of dynamical actors. The desynchronisation of a few or even one of those would likely result in a substantial blackout. Thus the dynamical stability of the synchronous state has become a leading topic in power grid research. Here we uncover that, when taking into account physical losses in the network, the back-reaction of the network induces new exotic solitary states in the individual actors and the stability characteristics of the synchronous state are dramatically altered. These effects will have to be explicitly taken into account in the design of future power grids. We expect the results presented here to transfer to other systems of coupled heterogeneous Newtonian oscillators.

Suggested Citation

  • Frank Hellmann & Paul Schultz & Patrycja Jaros & Roman Levchenko & Tomasz Kapitaniak & Jürgen Kurths & Yuri Maistrenko, 2020. "Network-induced multistability through lossy coupling and exotic solitary states," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:11:y:2020:i:1:d:10.1038_s41467-020-14417-7
    DOI: 10.1038/s41467-020-14417-7
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    Cited by:

    1. Schülen, Leonhard & Janzen, David A. & Medeiros, Everton S. & Zakharova, Anna, 2021. "Solitary states in multiplex neural networks: Onset and vulnerability," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. Ostrovskii, Valerii Yu. & Rybin, Vyacheslav G. & Karimov, Artur I. & Butusov, Denis N., 2022. "Inducing multistability in discrete chaotic systems using numerical integration with variable symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    3. Warren J. Farmer & Arnold J. Rix, 2021. "The Network Topology Metrics Contributing to Local-Area Frequency Stability in Power System Networks," Energies, MDPI, vol. 14(15), pages 1-28, July.
    4. Belyaev, Alexander & Bashkirtseva, Irina & Ryashko, Lev, 2021. "Stochastic variability of regular and chaotic dynamics in 2D metapopulation model," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    5. Lacerda, Juliana C. & Freitas, Celso & Macau, Elbert E.N., 2022. "Elementary changes in topology and power transmission capacity can induce failures in power grids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    6. Dong, Gaogao & Luo, Yanting & Liu, Yangyang & Wang, Fan & Qin, Huanmei & Vilela, André L.M., 2022. "Percolation behaviors of a network of networks under intentional attack with limited information," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    7. Tommaso Menara & Giacomo Baggio & Dani Bassett & Fabio Pasqualetti, 2022. "Functional control of oscillator networks," Nature Communications, Nature, vol. 13(1), pages 1-13, December.
    8. Robin Delabays & Saber Jafarpour & Francesco Bullo, 2022. "Multistability and anomalies in oscillator models of lossy power grids," Nature Communications, Nature, vol. 13(1), pages 1-12, December.

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