ArticleScientific reports2020
Minimal fatal shocks in multistable complex networks.
Article in Scientific reports, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Unveiling Multistability in Urban Traffic Through Percolation Theory and Network Analysis.Entropy (Basel, Switzerland) · 2025Article
- Resilience of the slow component in timescale-separated synchronized oscillators.Frontiers in network physiology · 2024Article
- Impact of biological rhythms on the importance hierarchy of constituents in time-dependent functional brain networks.Frontiers in network physiology · 2023Article
- Phase tipping: how cyclic ecosystems respond to contemporary climate.Proceedings. Mathematical, physical, and engineering sciences · 2021Article
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
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.
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Registered trials
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