Description: Targeted suppression of failure spreading in multistable oscillator networks

This title appears in the Scientific Report : 2021

Targeted suppression of failure spreading in multistable oscillator networks

Fluctuations and damages crucially determine the operation and stability of networked systems across disciplines, from electrical powergrids, to vascular networks or neuronal networks. Local changes in the underlying dynamics may affect the whole network and, in the worst case, cause a total collaps...

Personal Name(s):	Wassmer, Jonas
	Witthaut, Dirk (Corresponding author) / Kaiser, Franz
Contributing Institute:	Systemforschung und Technologische Entwicklung; IEK-STE
Published in:	Journal of physics, 2 (2021) 3, S. 035003 -
Imprint:	Bristol IOP Publ. 2021
DOI:	10.1088/2632-072X/abf090
Document Type:	Journal Article
Research Program:	Energie System 2050 Kollektive Nichtlineare Dynamik Komplexer Stromnetze Helmholtz Young Investigators Group "Efficiency, Emergence and Economics of future supply networks" Energiesystemtransformation
Link:	OpenAccess
	Publikationsportal JuSER

Please use the identifier: http://dx.doi.org/10.1088/2632-072X/abf090 in citations.
Please use the identifier: http://hdl.handle.net/2128/27967 in citations.

Fluctuations and damages crucially determine the operation and stability of networked systems across disciplines, from electrical powergrids, to vascular networks or neuronal networks. Local changes in the underlying dynamics may affect the whole network and, in the worst case, cause a total collapse of the system through a cascading failure. It has been demonstrated that certain subgraphs can reduce failure spreading drastically, or even inhibit it completely. However, this shielding effect is poorly understood for non-linear dynamical models. Here, we study the effect of perturbations in networks of oscillators coupled via the Kuramoto model. We demonstrate how the network structure can be optimised for suppressing specific, targeted fluctuations at a desiredoperational state while letting others pass. We illustrate our approach by demonstrating that a significant reduction in time-dependent fluctuations may be achieved by optimising the edge weights. Finally, we demonstrate how to apply the developed method to real-world supply networks such as power grids. Our findings reveal that a targeted shielding of specific solutions in multistable systems is possible which may be applied to make supply networks more robust.