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20242026
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math.DS2026

Statistical warning indicators for abrupt transitions in dynamical systems with slow periodic forcing

Florian Suerhoff, Andreas Morr, Sebastian Bathiany +2

There is growing interest in anticipating critical transitions in natural systems, often pursued through statistical detection of early warning signals associated with dynamical bi…

math.DS2025

Computing Resilience Measures in Dynamical Systems

Andreas Morr, Christian Kuehn, George Datseris

Resilience broadly describes a quality of withstanding perturbations. Measures of system resilience have gathered increasing attention across applied disciplines, yet existing metr…

math.DS2024

Internal noise interference to warnings of tipping points in generic multi-dimensional dynamical systems

Andreas Morr, Niklas Boers, Peter Ashwin

A deterministic dynamical system that slowly passes through a generic fold-type (saddle-node) bifurcation can be reduced to one-dimensional dynamics close to the bifurcation becaus…

math.DS2024

Anticipating critical transitions in multidimensional systems driven by time- and state-dependent noise

Andreas Morr, Keno Riechers, Leonardo Rydin Gorjão +1

Anticipating bifurcation-induced transitions in dynamical systems has gained relevance in various fields of the natural, social, and economic sciences. Before the annihilation of a…

math.DS2024

Detection of Approaching Critical Transitions in Natural Systems Driven by Red Noise

Andreas Morr, Niklas Boers

Detection of critical slowing down (CSD) is the dominant avenue for anticipating critical transitions from noisy time-series data. Most commonly, changes in variance and lag-1 auto…