Signatures consistent with multi-frequency tipping in the Atlantic meridional overturning circulation

Abstract

The early detection of tipping points, which describe a rapid departure from a stable state, is an important theoretical and practical challenge. Tipping points are most commonly associated with the disappearance of steady-state or periodic solutions at fold bifurcations. We discuss here multi-frequency tipping (M-tipping), which is tipping due to the disappearance of an attracting torus. M-tipping is a generic phenomenon in systems with at least two intrinsic or external frequencies that can interact and, hence, is relevant to a wide variety of systems of interest. We show that the more complicated sequence of bifurcations involved in M-tipping provides a possible consistent explanation for as yet unexplained behavior observed near tipping in climate models for the Atlantic meridional overturning circulation. More generally, this work provides a path towards identifying possible early-warning signs of tipping in multiple-frequency systems.

arXiv comment11 pages, 4 figures

References in corpus (4)

• Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system
• DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations
• A delay differential model of ENSO variability: Parametric instability and the distribution of extremes
• Chenciner bubbles and torus break-up in a periodically forced delay differential equation

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