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There is strong evidence that the present-day Atlantic Meridional Overturning Circulation (AMOC) is in a bi-stable regime and hence it is important to determine probabilities and pathways for noise-induced transitions between its…

Atmospheric and Oceanic Physics · Physics 2024-08-27 Jelle Soons , Tobias Grafke , Henk A. Dijkstra

Bifurcations can cause dynamical systems with slowly varying parameters to transition to far-away attractors. The terms ``critical transition'' or ``tipping point'' have been used to describe this situation. Critical transitions have been…

Dynamical Systems · Mathematics 2015-03-17 Christian Kuehn

The development of robust Early Warning Signals (EWS) is necessary to quantify the risk of crossing tipping points in the present-day climate change. Classically, EWS are statistical measures based on time series of climate state variables,…

Atmospheric and Oceanic Physics · Physics 2025-03-25 Laure Moinat , Jérôme Kasparian , Maura Brunetti

The Atlantic Meridional Overturning Circulation (AMOC) and polar ice sheets are coupled tipping elements, allowing for potential cascading tipping events in which tipping is facilitated by their mutual interactions. However, while an AMOC…

Atmospheric and Oceanic Physics · Physics 2025-02-25 Sacha Sinet , Anna S. von der Heydt , Henk A. Dijkstra

Declines in resilience have been observed in several climate tipping elements over the past decades, including the Atlantic Meridional Overturning Circulation (AMOC) and the Amazon rainforest (AR). Large-scale nonlinear and possibly…

Atmospheric and Oceanic Physics · Physics 2025-07-08 Annika Högner , Giorgia Di Capua , Jonathan F. Donges , Reik V. Donner , Georg Feulner , Nico Wunderling

Nonlinear dynamical systems subjected to a combination of noise and time-varying forcing can exhibit sudden changes, critical transitions or tipping points where large or rapid dynamic effects arise from changes in a parameter that are…

Chaotic Dynamics · Physics 2024-05-21 Peter Ashwin , Julian Newman , Raphael Römer

Tipping points associated with bifurcations (B-tipping) or induced by noise (N-tipping) are recognized mechanisms that may potentially lead to sudden climate change. We focus here a novel class of tipping points, where a sufficiently rapid…

Dynamical Systems · Mathematics 2013-02-14 Peter Ashwin , Sebastian Wieczorek , Renato Vitolo , Peter Cox

Segmentation of curvilinear structures such as vasculature and road networks is challenging due to relatively weak signals and complex geometry/topology. To facilitate and accelerate large scale annotation, one has to adopt semi-automatic…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Saumya Gupta , Yikai Zhang , Xiaoling Hu , Prateek Prasanna , Chao Chen

We use a simple yet Earth-like atmospheric model to propose a new framework for understanding the mathematics of blocking events. Analysing error growth rates along a very long model trajectory, we show that blockings are associated with…

Atmospheric and Oceanic Physics · Physics 2020-01-08 Valerio Lucarini , Andrey Gritsun

Tipping elements in the Earth System receive increased scientific attention over the recent years due to their nonlinear behavior and the risks of abrupt state changes. While being stable over a large range of parameters, a tipping element…

Physics and Society · Physics 2023-10-25 Jan Kohler , Nico Wunderling , Jonathan F. Donges , Jürgen Vollmer

Tipping points are abrupt, drastic, and often irreversible changes in the evolution of non-stationary and chaotic dynamical systems. For instance, increased greenhouse gas concentrations are predicted to lead to drastic decreases in low…

Regime shifts are quite common in complex systems like cell regulations, disease transmissions, ecosystems, marine ice instability, etc. Several statistical indicators known as early warning signals (EWS) have been theorized to anticipate…

Dynamical Systems · Mathematics 2024-01-18 Shankha Narayan Chattopadhyay , Arvind Kumar Gupta

The Atlantic Meridional Overturning Circulation (AMOC) is a key component of the Earth's climate. Evidence indicates a twentieth-century weakening, and enhanced freshwater input to the subpolar North Atlantic may further reduce overturning…

Dynamical Systems · Mathematics 2026-03-13 John Bailie , Priya Subramanian , Bernd Krauskopf

The results of a recent simulation with a complex global climate model suggest that the overturning component of the freshwater transport at the southern boundary of the Atlantic could be used as an early-warning indicator of an AMOC…

Atmospheric and Oceanic Physics · Physics 2024-02-27 Erhard Reschenhofer

The Atlantic surface currents associated with the Atlantic Meridional Overturning Circulation (AMOC) play a central role in regulating Earth's climate, yet their large scale dynamical response to climate variability remains poorly…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Han Huang , Ningning Tao , Hongyu Wang , Teng Liu , Fei Xie , Xichen Li , Yongwen Zhang , Niklas Boers , Jingfang Fan , Deliang Chen , Xiaosong Chen

Vertical motions across the ocean are central to processes, like CO$_2$ fixation, heat removal or pollutant transport, which are essential to the Earth's climate. This work explores 3D conveyor routes {associated with} the Atlantic…

Atmospheric and Oceanic Physics · Physics 2024-12-24 Renzo Bruera , Jezabel Curbelo , Guillermo Garcia-Sanchez , Ana M. Mancho

The extent of anthropogenic influence on the Earths climate warrants studies of the ocean as a major player. The ocean circulation is important for transporting properties like heat, carbon and nutrients. A supposed major conduit is the…

Atmospheric and Oceanic Physics · Physics 2023-11-14 Hans van Haren

The Meridional Overturning Circulation (MOC) is a system of surface and deep currents encompassing all ocean basins, crucial to the Earth's climate. Detecting potential climatic changes in the MOC first requires a careful characterisation…

Atmospheric and Oceanic Physics · Physics 2022-08-26 Tomas Jonathan

Tipping points (TP) are often described as low-dimensional bifurcations, and are associated with early-warning signals (EWS) due to critical slowing down (CSD). CSD is an increase in amplitude and correlation of noise-induced fluctuations…

As phenomena that necessarily emerge from the collective behavior of interacting particles, phase transitions continue to be difficult to predict using statistical thermodynamics. A recent proposal called the topological hypothesis suggests…

Statistical Mechanics · Physics 2023-06-08 O. B. Ericok , J. K. Mason