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A generic saddle-node bifurcation is proposed to modelize fast transitions of finite amplitude arising in geophysical (and perhaps other) contexts, when they result from the intrinsic dynamics of the system. The fast transition is…

混沌动力学 · 物理学 2012-09-10 Yves Pomeau , Martine Le Berre

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…

动力系统 · 数学 2015-08-11 Jan Sieber , J. Michael T. Thompson

Multistability is a ubiquitous feature in systems of geophysical relevance and provides key challenges for our ability to predict a system's response to perturbations. Near critical transitions small causes can lead to large effects and -…

大气与海洋物理 · 物理学 2017-06-28 Valerio Lucarini , Tamas Bodai

While one can unequivocally identify past climate transitions, we lack comprehensive knowledge about their underlying mechanisms and timescales. Our study employs a dimensional analysis of benthic stable isotope records to uncover, across…

地球物理 · 物理学 2023-09-25 Tommaso Alberti , Fabio Florindo , Eelco J. Rohling , Valerio Lucarini , Davide Faranda

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…

混沌动力学 · 物理学 2016-10-07 Everton S. Medeiros , Iberê L. Caldas , Murilo S. Baptista , Ulrike Feudel

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…

数据分析、统计与概率 · 物理学 2018-12-24 Xiaozhu Zhang , Christian Kuehn , Sarah Hallerberg

The climate system is a forced, dissipative, nonlinear, complex and heterogeneous system that is out of thermodynamic equilibrium. The system exhibits natural variability on many scales of motion, in time as well as space, and it is subject…

大气与海洋物理 · 物理学 2020-08-05 Michael Ghil , Valerio Lucarini

The solution of energy-balance model of the Earth global climate and the EPICA Dome C and Vostok experimental data of the Earth surface palaeotemperature evolution over past 420 and 740 kyr are compared. In the framework of proposed…

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,…

大气与海洋物理 · 物理学 2024-07-01 Amane Kubo , Yohei Sawada

The climate record preserved in polar glaciers, mountain glaciers, and widespread cave deposits shows repeated occurrence of abrupt global transitions between cold/dry stadial and warm/wet interstadial states during glacial periods. These…

大气与海洋物理 · 物理学 2009-07-03 Brian F. Farrell , Dorian S. Abbot

The ability to reliably predict critical transitions in dynamical systems is a long-standing goal of diverse scientific communities. Previous work focused on early warning signals related to local bifurcations (critical slowing down) and…

适应与自组织系统 · 物理学 2017-11-15 Rajat Karnatak , Holger Kantz , Stephan Bialonski

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…

大气与海洋物理 · 物理学 2023-05-31 Maura Brunetti , Charline Ragon

The destruction of a chaotic attractor leading to rough changes in the dynamics of a dynamical system is studied. Local bifurcations are characterised by a single or a pair of characteristic exponents crossing the imaginary axis. The…

混沌动力学 · 物理学 2020-11-16 Alexis Tantet , Valerio Lucarini , Frank Lunkeit , Henk A. Dijkstra

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…

动力系统 · 数学 2013-02-14 Peter Ashwin , Sebastian Wieczorek , Renato Vitolo , Peter Cox

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…

动力系统 · 数学 2023-05-18 Chris Budd , Rachel Kuske

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')…

动力系统 · 数学 2025-06-30 Dock Staal , Arjen Doelman

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…

大气与海洋物理 · 物理学 2020-07-15 Fang Yang , Yayun Zheng , Jinqiao Duan , Ling Fu , Stephen Wiggins

Over the last few decades, climate scientists have devoted much effort to the development of large numerical models of the atmosphere and the ocean. While there is no question that such models provide important and useful information on…

大气与海洋物理 · 物理学 2009-08-25 Michel Crucifix , Jonathan Rougier

There is ongoing debate over whether Arctic sea-ice has already passed a `tipping point', or whether it will do so in the future. Several recent studies argue that the loss of summer sea ice does not involve an irreversible bifurcation,…

地球物理 · 物理学 2013-01-23 Valerie N. Livina , Timothy M. Lenton

Tipping points (TPs) in the Earth system have been studied with growing interest and concern in recent years due to the potential risk of anthropogenic forcing causing abrupt, and possibly irreversible, climate transitions. Paleoclimate…

大气与海洋物理 · 物理学 2022-06-15 Witold Bagniewski , Denis-Didier Rousseau , Michael Ghil