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The theory of alternative stable states and tipping points has garnered substantial attention in the last several decades. It predicts potential critical transitions from one ecosystem state to a completely different state under increasing…

Pattern Formation and Solitons · Physics 2024-09-11 Swarnendu Banerjee , Mara Baudena , Paul Carter , Robbin Bastiaansen , Arjen Doelman , Max Rietkerk

One way to warn of forthcoming critical transitions in Earth system components is using observations to detect declining system stability. It has also been suggested to extrapolate such stability changes into the future and predict tipping…

Geophysics · Physics 2024-08-14 Maya Ben-Yami , Andreas Morr , Sebastian Bathiany , Niklas Boers

Sudden transitions in the state of a system are often undesirable in natural and human-made systems. Such transitions under fast variation of system parameters are called rate-induced tipping. We experimentally demonstrate rate-induced…

Applied Physics · Physics 2022-09-15 Induja Pavithran , P. R. Midhun , R. I. Sujith

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…

Dynamical Systems · Mathematics 2021-04-09 Andrew Keane , Bernd Krauskopf , Timothy M. Lenton

Nonlinear dynamical systems may be exposed to tipping points, critical thresholds at which small changes in the external inputs or in the systems parameters abruptly shift the system to an alternative state with a contrasting dynamical…

Chaotic Dynamics · Physics 2016-10-07 Everton S. Medeiros , Iberê L. Caldas , Murilo S. Baptista , Ulrike Feudel

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

In light of the rapid recent retreat of Arctic sea ice, the extreme weather events triggering the variability in Arctic ice cover has drawn increasing attention. A non-Gaussian $\alpha$-stable L\'evy process is thought to be an appropriate…

Atmospheric and Oceanic Physics · Physics 2020-07-15 Fang Yang , Yayun Zheng , Jinqiao Duan , Ling Fu , Stephen Wiggins

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…

With rising global temperatures Earth's tipping elements are becoming increasingly more vulnerable to crossing their critical thresholds. The reaching of such tipping points does not only impact other tipping elements through their…

Adaptation and Self-Organizing Systems · Physics 2025-05-08 Tom Bdolach , Jürgen Kurths , Serhiy Yanchuk

We discuss tipping phenomena (critical transitions) in nonautonomous systems using an example of a bistable ecosystem model with environmental changes represented by time-varying parameters [Scheffer et al., Ecosystems, 11 (2008), pp.…

Dynamical Systems · Mathematics 2020-11-24 Paul E. O'Keeffe , Sebastian Wieczorek

Tipping points (TP) in climate sub-systems are usually thought to occur at a well-defined, critical forcing parameter threshold, via destabilization of the system state by a single, dominant positive feedback. However, coupling to other…

Atmospheric and Oceanic Physics · Physics 2024-12-24 Johannes Lohmann , Henk A. Dijkstra , Markus Jochum , Valerio Lucarini , Peter D. Ditlevsen

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

Tipping points occur in many real-world systems, at which the system shifts suddenly from one state to another. The ability to predict the occurrence of tipping points from time series data remains an outstanding challenge and a major…

Machine Learning · Computer Science 2024-12-10 Chengzuo Zhuge , Jiawei Li , Wei Chen

Tipping points have been shown to be ubiquitous, both in models and empirically in a range of physical and biological systems. The question of how tipping points cascade through systems has been less well studied and is an important one. A…

Dynamical Systems · Mathematics 2020-11-19 Abhishek Mallela , Alan Hastings

Climate change is a reality of today. Paleoclimatic proxies and climate predictions based on coupled atmosphere-ocean general circulation models provide us with temperature data. Using Detrended Fluctuation Analysis, we are investigating…

Atmospheric and Oceanic Physics · Physics 2008-03-05 Bora Akgun , Zeynep Isvan , Levent Tuter , Mehmet Levent Kurnaz

Global cooperation is posited as a pivotal solution to address climate change, yet significant barriers, like free-riding, hinder its realization. This paper develops a dynamic game-theoretic model to analyze the stability of coalitions…

General Economics · Economics 2025-06-23 Lei Zhu , Zhihao Yan , Hongbo Duan , Yongyang Cai , Xiaobing Zhang

The literature on the costs of climate change often draws a link between climatic 'tipping points' and large economic shocks, frequently called 'catastrophes'. The use of the phrase 'tipping points' in this context can be misleading. In…

Economics · Quantitative Finance 2016-07-12 Robert E. Kopp , Rachael Shwom , Gernot Wagner , Jiacan Yuan

Nonlinear dynamical systems exposed to changing forcing can exhibit catastrophic transitions between alternative and often markedly different states. The phenomenon of critical slowing down (CSD) can be used to anticipate such transitions…

Machine Learning · Computer Science 2024-09-13 Yu Huang , Sebastian Bathiany , Peter Ashwin , Niklas Boers

Ecosystems tend to fluctuate around stable equilibria in response to internal dynamics and environmental factors. Occasionally, they enter an unstable tipping region and collapse into an alternative stable state. Our understanding of how…

Dansgaard-Oeschger events are a prominent mode of variability in the records of the last glacial cycle. Various prototype models have been proposed to explain these rapid climate fluctuations, and no agreement has emerged on which may be…

Atmospheric and Oceanic Physics · Physics 2013-02-07 Andrea A. Cimatoribus , Sybren S. Drijfhout , Valerie Livina , Gerard van der Schrier