• Open Access

Critical slowing down in dynamical systems driven by nonstationary correlated noise

Christopher Boettner and Niklas Boers
Phys. Rev. Research 4, 013230 – Published 28 March 2022
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Abstract

Precursor signals for bifurcation-induced critical transitions have recently gained interest across many research fields. Common indicators, including variance and autocorrelation increases, rely on the dynamical system being driven by white noise. Here, we show that these metrics raise false alarms for systems driven by time-correlated noise, if the autocorrelation of the noise process increases with time. We introduce an indicator for systems driven by nonstationary short-term memory noise, and show that this indicator performs well in situations where the classical methods fail.

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  • Received 23 June 2021
  • Accepted 20 January 2022

DOI:https://doi.org/10.1103/PhysRevResearch.4.013230

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Interdisciplinary PhysicsNonlinear DynamicsStatistical Physics & Thermodynamics

Authors & Affiliations

Christopher Boettner* and Niklas Boers

  • Potsdam Institute for Climate Impact Research, 14473 Potsdam, Germany; Technical University of Munich, School of Engineering and Design, Earth System Modelling, 85748 Garching, Germany; and University of Exeter, Global Systems Institute and Department of Mathematics, EX4 4PY Exeter, United Kingdom

  • *boettner@pik-potsdam.de

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Vol. 4, Iss. 1 — March - May 2022

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