Network-induced multistability through lossy coupling and exotic solitary states

Frank Hellmann (), Paul Schultz, Patrycja Jaros, Roman Levchenko, Tomasz Kapitaniak, Jürgen Kurths and Yuri Maistrenko
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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
Yuri Maistrenko: Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association

Nature Communications, 2020, vol. 11, issue 1, 1-9

Abstract: 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.

Date: 2020
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DOI: 10.1038/s41467-020-14417-7

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