Minimal fatal shocks in multistable complex networks

Abstract Multistability is a common phenomenon which naturally occurs in complex networks. Often one of the coexisting stable states can be identified as being the desired one for a particular application. We present here a global approach to identify the minimal perturbation which will instantaneou...

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Autores principales:	Lukas Halekotte, Ulrike Feudel
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/24c345123982431b8e141a1d353afb19
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spelling	oai:doaj.org-article:24c345123982431b8e141a1d353afb192021-12-02T15:33:11ZMinimal fatal shocks in multistable complex networks10.1038/s41598-020-68805-62045-2322https://doaj.org/article/24c345123982431b8e141a1d353afb192020-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-68805-6https://doaj.org/toc/2045-2322Abstract Multistability is a common phenomenon which naturally occurs in complex networks. Often one of the coexisting stable states can be identified as being the desired one for a particular application. We present here a global approach to identify the minimal perturbation which will instantaneously kick the system out of the basin of attraction of its desired state and hence induce a critical or fatal transition we call shock-tipping. The corresponding Minimal Fatal Shock is a vector whose length can be used as a global stability measure and whose direction in state space allows us to draw conclusions on weaknesses of the network corresponding to critical network motifs. We demonstrate this approach in plant–pollinator networks and the power grid of Great Britain. In both system classes, tree-like substructures appear to be the most vulnerable with respect to the minimal shock perturbation.Lukas HalekotteUlrike FeudelNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-13 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Lukas Halekotte Ulrike Feudel Minimal fatal shocks in multistable complex networks
description	Abstract Multistability is a common phenomenon which naturally occurs in complex networks. Often one of the coexisting stable states can be identified as being the desired one for a particular application. We present here a global approach to identify the minimal perturbation which will instantaneously kick the system out of the basin of attraction of its desired state and hence induce a critical or fatal transition we call shock-tipping. The corresponding Minimal Fatal Shock is a vector whose length can be used as a global stability measure and whose direction in state space allows us to draw conclusions on weaknesses of the network corresponding to critical network motifs. We demonstrate this approach in plant–pollinator networks and the power grid of Great Britain. In both system classes, tree-like substructures appear to be the most vulnerable with respect to the minimal shock perturbation.
format	article
author	Lukas Halekotte Ulrike Feudel
author_facet	Lukas Halekotte Ulrike Feudel
author_sort	Lukas Halekotte
title	Minimal fatal shocks in multistable complex networks
title_short	Minimal fatal shocks in multistable complex networks
title_full	Minimal fatal shocks in multistable complex networks
title_fullStr	Minimal fatal shocks in multistable complex networks
title_full_unstemmed	Minimal fatal shocks in multistable complex networks
title_sort	minimal fatal shocks in multistable complex networks
publisher	Nature Portfolio
publishDate	2020
url	https://doaj.org/article/24c345123982431b8e141a1d353afb19
work_keys_str_mv	AT lukashalekotte minimalfatalshocksinmultistablecomplexnetworks AT ulrikefeudel minimalfatalshocksinmultistablecomplexnetworks
_version_	1718387070532059136

Minimal fatal shocks in multistable complex networks

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