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Related papers: Climate tipping as a noisy bifurcation: a predicti…

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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

Approaching a dangerous bifurcation, from which a dynamical system such as the Earth's climate will jump (tip) to a different state, the current stable state lies within a shrinking basin of attraction. Persistence of the state becomes…

Dynamical Systems · Mathematics 2015-08-11 Jan Sieber , J. Michael T. Thompson

Current techniques for predicting climate change are mainly based on "massive" deterministic numerical modeling. However, the ocean-atmosphere system is a so-called "complex system", made up of a large number of interacting elements. We…

Atmospheric and Oceanic Physics · Physics 2022-05-31 Francois Louchet

The climate system's nonlinear dynamics is influenced by various external forcings and internal feedbacks that can give rise to regional and even global tipping points that may lead to significant and potentially irreversible changes.…

Atmospheric and Oceanic Physics · Physics 2026-01-21 Erik Chavez , Jan Rombouts , Michael Ghil

Prediction of climate tipping is challenging due to the lack of recent observation of actual climate tipping. Despite many previous efforts to accurately predict the existence and timing of climate tippings under specific climate scenarios,…

Atmospheric and Oceanic Physics · Physics 2024-07-01 Amane Kubo , Yohei Sawada

Current early warning signs for tipping points often fail to distinguish between catastrophic shifts and less dramatic state changes, such as spatial pattern formation. This paper introduces a novel method that addresses this limitation by…

Dynamical Systems · Mathematics 2025-10-03 Paul A. Sanders , Robbin Bastiaansen

Model studies indicate that many climate subsystems, especially ecosystems, may be vulnerable to 'tipping': a 'catastrophic process' in which a system, driven by gradually changing external factors, abruptly transitions (or 'collapses')…

Dynamical Systems · Mathematics 2025-06-30 Dock Staal , Arjen Doelman

Using in a simple way the theory of non linear dynamical systems, we show that increasing climatic instabilities may be a qualitative warning sign for the occurrence of a nearby bifurcation, yielding a discontinuous and sudden climate…

Atmospheric and Oceanic Physics · Physics 2016-09-19 Francois Louchet

Tipping points are one of the hot topics in modern physics of complex systems. But what is a tipping point? A generic definition declares it as ``a state of the system where a small change in its parameters can lead to a significant change…

Populations and Evolution · Quantitative Biology 2026-02-25 Alan Hastings , Sergei Petrovskii , Valerio Lucarini , Andrew Morozov

The climate is a complex non-equilibrium dynamical system that relaxes toward a steady state under the continuous input of solar radiation and dissipative mechanisms. The steady state is not necessarily unique. A useful tool to describe the…

Atmospheric and Oceanic Physics · Physics 2023-05-31 Maura Brunetti , Charline Ragon

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

We identify the phase of a cycle as a new critical factor for tipping points (critical transitions) in cyclic systems subject to time-varying external conditions. As an example, we consider how contemporary climate variability induces…

Dynamical Systems · Mathematics 2021-10-11 Hassan Alkhayuon , Rebecca C. Tyson , Sebastian Wieczorek

The potential for complex systems to exhibit tipping points in which an equilibrium state undergoes a sudden and often irreversible shift is well established, but prediction of these events using standard forecast modeling techniques is…

Atmospheric and Oceanic Physics · Physics 2022-12-07 Daniel Dylewsky , Timothy M. Lenton , Marten Scheffer , Thomas M. Bury , Christopher G. Fletcher , Madhur Anand , Chris T. Bauch

We study the behaviour at tipping points close to (smoothed) non-smooth fold bifurcations in one-dimensional oscillatory forced systems. The focus is the Stommel-Box, and related climate models, which are piecewise-smooth continuous…

Dynamical Systems · Mathematics 2023-05-18 Chris Budd , Rachel Kuske

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

Climate tipping points are critical thresholds in Earth's climate system where a small change can cause abrupt and potentially irreversible shifts towards a new state. Tipping points in the Atlantic Meridional Overturning Circulation (AMOC)…

Atmospheric and Oceanic Physics · Physics 2025-07-10 Jasmine Noory

This review synthesizes recent advancements in understanding tipping points and cascading transitions within the Earth system, framing them through the lens of nonlinear dynamics and complexity science. It outlines the fundamental concepts…

Atmospheric and Oceanic Physics · Physics 2025-11-04 Sheng Fang , Ziyan Wang , Jürgen Kurths , Jingfang Fan

Many climate subsystems are thought to be susceptible to tipping - and some might be close to a tipping point. The general belief and intuition, based on simple conceptual models of tipping elements, is that tipping leads to reorganization…

Pattern Formation and Solitons · Physics 2021-12-01 Robbin Bastiaansen , Henk A. Dijkstra , Anna S. von der Heydt

A presumed impact of global climate change is the increase in frequency and intensity of tropical cyclones. Due to the possible destruction that occurs when tropical cyclones make landfall, understanding their formation should be of mass…

Dynamical Systems · Mathematics 2023-07-31 Katherine Slyman , John A. Gemmer , Nicholas K. Corak , Claire Kiers , Christopher K. R. T. Jones

Anticipating a tipping point, a transition from one stable steady state to another, is a problem of broad relevance due to the ubiquity of the phenomenon in diverse fields. The steady-state nature of the dynamics about a tipping point makes…

Atmospheric and Oceanic Physics · Physics 2024-10-18 Shirin Panahi , Ling-Wei Kong , Mohammadamin Moradi , Zheng-Meng Zhai , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai
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