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Tipping to an undesired state in the climate when a control parameter slowly approaches a critical value is a growing concern with increasing greenhouse gas concentrations. Predictions rely on detecting early warning signals (EWSs) in…

Atmospheric and Oceanic Physics · Physics 2023-04-19 Peter D. Ditlevsen , Susanne Ditlevsen

Climate models indicate a possible collapse of the Atlantic Meridional Overturning Circulation (AMOC) even for moderate climate change scenarios. There is considerable uncertainty in its likelihood for a given scenario and the critical…

Atmospheric and Oceanic Physics · Physics 2025-12-22 Johannes Lohmann

Detecting early warning signals in climatic time series is essential for anticipating critical transitions and tipping points. Common statistical indicators include increased variance and lag-one autocorrelation prior to bifurcation points.…

Methodology · Statistics 2026-02-11 Sigrunn H. Sørbye , Eirik Myrvoll-Nilsen , Håvard Rue

The early prediction of tipping points, distinguished by sudden and catastrophic shifts from stable states, poses a challenging task that would enable us to assess the impending threat across natural and engineered systems. This threat…

Statistical Mechanics · Physics 2025-12-02 Tapas Bar , Anurag Banerjee , Blai Casals , Gustau Catalan , Javier Rodríguez-Viejo

Real-world complex systems such as the climate, ecosystems, stock markets, and combustion engines are prone to dynamical transitions from one state to another, with catastrophic consequences. State variables of such systems often exhibit…

Fluid Dynamics · Physics 2024-01-17 Ankan Banerjee , Induja Pavithran , R. I. Sujith

Early-warning models built from Learning Management System (LMS) logs aim to predict end-of-course outcomes early enough to enable timely learner support. However, reported "early" performance is often inflated by temporal leakage. This…

Artificial Intelligence · Computer Science 2026-05-26 Ngoc Luyen Le , Marie-Hélène Abel , Bertrand Laforge

Abrupt shifts in ecosystems, brains, markets, and climate are often diagnosed as signs of approaching a tipping point, i.e. a critical bifurcation where stability is lost. Here we reveal a broader and more deceptive mechanism:…

Chaotic Dynamics · Physics 2025-10-06 Virgile Troude , Sandro Claudio Lera , Ke Wu , Didier Sornette

Catastrophes of all kinds can be roughly defined as short duration-large amplitude events following and followed by long periods of "ripening". Major earthquakes surely belong to the class of 'catastrophic' events. Because of the space-time…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Randall D. Peters , Martine Le Berre , Yves Pomeau

Critical transitions occur in a wide variety of applications including mathematical biology, climate change, human physiology and economics. Therefore it is highly desirable to find early-warning signs. We show that it is possible to…

Dynamical Systems · Mathematics 2015-03-17 Christian Kuehn

Key components of the Earth system can undergo abrupt and potentially irreversible transitions when the magnitude or rate of external forcing exceeds critical thresholds. In this study, we use the example of the Atlantic Meridional…

Computational Engineering, Finance, and Science · Computer Science 2025-09-09 Wenjie Zhang , Yu Huang , Sebastian Bathiany , Yechul Shin , Maya Ben-Yami , Suiping Zhou , Niklas Boers

Early warning signals (EWSs) forewarn a sudden transition (or tipping) from a desirable state to an undesirable state. However, we observe that EWSs detect an impending tipping past bifurcation points when control parameters are varied…

Chaotic Dynamics · Physics 2024-08-15 Rohit Radhakrishnan , Induja Pavithran , Valerie Livina , Jürgen Kurths , R. I. Sujith

Several experimental studies claim to be able to predict the outcome of simple decisions from brain signals measured before subjects are aware of their decision. Often, these studies use multivariate pattern recognition methods with the…

Neurons and Cognition · Quantitative Biology 2016-06-21 Marco Rusconi , Angelo Valleriani

Recent work has highlighted the utility of methods for early warning signal detection in dynamic systems approaching critical tipping thresholds. Often these tipping points resemble local bifurcations, whose low dimensional dynamics can…

Computational Physics · Physics 2024-08-08 Daniel Dylewsky , Madhur Anand , Chris T. Bauch

Detecting early warning indicators for abrupt dynamical transitions in complex systems or high-dimensional observation data is essential in many real-world applications, such as brain diseases, natural disasters, and engineering…

Machine Learning · Statistics 2024-04-08 Lingyu Feng , Ting Gao , Wang Xiao , Jinqiao Duan

Many ecosystems can undergo important qualitative changes, including sudden transitions to alternative stable states, in response to perturbations or increments in conditions. Such 'tipping points' are often preceded by declines in aspects…

Populations and Evolution · Quantitative Biology 2025-09-04 Neel P. Le Penru , Thomas M. Bury , Sarab S. Sethi , Robert M. Ewers , Lorenzo Picinali

Financial markets of emerging economies are vulnerable to extreme and cascading information spillovers, surges, sudden stops and reversals. With this in mind, we develop a new online early warning system (EWS) to detect what is referred to…

Econometrics · Economics 2025-05-21 Artem Kraevskiy , Artem Prokhorov , Evgeniy Sokolovskiy

Predicting critical transitions in complex systems, such as epileptic seizures in the brain, represents a major challenge in scientific research. The high-dimensional characteristics and hidden critical signals further complicate…

Quantitative Methods · Quantitative Biology 2026-02-03 Xiaoai Xu , Yixuan Zhou , Xiang Zhou , Jingqiao Duan , Ting Gao

Dryland vegetation ecosystems are known to be susceptible to critical transitions between alternative stable states when subjected to external forcing. Such transitions are often discussed through the framework of bifurcation theory, but…

Computational Physics · Physics 2025-05-16 Daniel Dylewsky , Sonia Kéfi , Madhur Anand , Chris T. Bauch

Critical transitions in multistable systems have been discussed as models for a variety of phenomena ranging from the extinctions of species to socio-economic changes and climate transitions between ice-ages and warm-ages. From bifurcation…

Data Analysis, Statistics and Probability · Physics 2018-12-24 Xiaozhu Zhang , Christian Kuehn , Sarah Hallerberg

In several natural and engineering systems, changes in control parameters can trigger bifurcations that lead to sustained or growing periodic oscillations, indicating the onset of oscillatory instabilities. Such emergent behaviour often…

Fluid Dynamics · Physics 2026-03-26 Rohit Radhakrishnan , Prasana Kumar , Induja Pavithran , R. I. Sujith