Complex network topological and spectral determinants of extreme events

2026/05/28 by Christian Hechler, Timo Bröhl, Ulrike Feudel +1 · 1 voice
Computer Science · Physics and Astronomy · #Complex Network Analysis Techniques #Complex network #Complex system #Coupling (piping) #Coupling strength #Event (particle physics) #Mechanism (biology) #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Topology (electrical circuits) #nlin.CD #physics.comp-ph #physics.data-an

paper · pdf · doi:10.1063/5.0338177

arxiv published 2026/05/28 · arxiv updated 2026/05/28 · openalex publication_date 2026/07/01 · openalex created_date 2026/07/11 · openalex updated_date 2026/07/11

Abstract

We study the impact of the coupling topology on the ability of various networked dynamical systems to generate extreme events. By determining the coupling strength that is necessary to generate an extreme event in the collective dynamics of a given system, we observe a power-law-like relationship between this coupling threshold and both topological (edge density) and spectral (algebraic connectivity) properties of various coupling topologies. Interestingly, this relationship appears to be largely independent of both the investigated system and the underlying mechanism to generate extreme events. This may indicate that the observed relationship is primarily mediated by aspects of the coupling topology.

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Discussions

• Christian Hechler, Timo Br\"ohl, Ulrike Feudel, Klaus Lehnertz: Complex network topological and spectral determinants of extreme events https://arxiv.org/abs/2605.29767 https://arxiv.org/pdf/2605.2976 [bsky, 0 points, 0 comments]

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