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Paleoclimate records are extremely rich sources of information about the past history of the Earth system. Information theory, the branch of mathematics capable of quantifying the degree to which the present is informed by the past,…

地球物理 · 物理学 2018-11-09 Joshua Garland , Tyler R. Jones , Elizabeth Bradley , Michael Neuder , James W. C. White

Extreme environmental events such as severe storms, drought, heat waves, flash floods, and abrupt species collapse have become more prevalent in the earth-atmosphere dynamic system in recent years. In order to fully understand the…

统计方法学 · 统计学 2025-08-05 Myungsoo Yoo , Likun Zhang , Christopher K. Wikle , Thomas Opitz

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…

地球物理 · 物理学 2024-08-14 Maya Ben-Yami , Andreas Morr , Sebastian Bathiany , Niklas Boers

A large variety of complex systems in ecology, climate science, biomedicine and engineering have been observed to exhibit tipping points, where the internal dynamical state of the system abruptly changes. For example, such critical…

物理与社会 · 物理学 2015-03-06 Christian Kuehn , Erik A. Martens , Daniel Romero

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…

混沌动力学 · 物理学 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

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…

动力系统 · 数学 2020-11-19 Abhishek Mallela , Alan Hastings

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…

Understanding the atmospheric low-frequency variability is of crucial importance in fields such as climate studies, climate change detection, and extended-range weather forecast. The Northern Hemisphere climate features the planetary waves…

大气与海洋物理 · 物理学 2007-05-23 Paolo M. Ruti , Valerio Lucarini , Alessandro Dell'Aquila , Sandro Calmanti , Antonio Speranza

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…

In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the task…

机器学习 · 计算机科学 2024-05-28 Julian Arnold , Flemming Holtorf , Frank Schäfer , Niels Lörch

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…

动力系统 · 数学 2021-10-11 Hassan Alkhayuon , Rebecca C. Tyson , Sebastian Wieczorek

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…

混沌动力学 · 物理学 2024-05-21 Peter Ashwin , Julian Newman , Raphael Römer

The Late Pleistocene Antarctic temperature variation curve is decomposed into two parts: cyclic and stochastic. These two parts represent different but tightly interconnected processes and also represent two different types of…

大气与海洋物理 · 物理学 2014-05-13 Lev A. Maslov

The properties of a front between two different phases in the presence of a smoothly inhomogeneous external field that takes its critical value at the crossing point is analyzed. Two generic scenarios are studied. In the first, the system…

斑图形成与孤子 · 物理学 2015-08-17 Haim Weissmann , Nadav M. Shnerb , David A. Kessler

Based on suggested interactions of potential tipping elements in the Earth's climate and in ecological systems, tipping cascades as possible dynamics are increasingly discussed and studied as their activation would impose a considerable…

地球物理 · 物理学 2021-12-14 Ann Kristin Klose , Nico Wunderling , Ricarda Winkelmann , Jonathan F Donges

We use continuous wavelet tools to characterize the dynamics of climate change across time and frequencies. This approach allows us to capture the changing patterns in the relationship between global mean temperature anomalies and climate…

大气与海洋物理 · 物理学 2025-09-29 Luis Aguiar-Conraria , Vasco J. Gabriel , Luis F. Martins , Anthoulla Phella

Here we define natural chaotic systems, like the earths weather and climate system, as chaotic systems which are open to the world so have constantly changing boundary conditions, and measurements of their states are subject to errors. In…

混沌动力学 · 物理学 2024-09-24 Michael LuValle

A comparison of northern and southern hemispheric paleotemperature profiles suggests that the Bolling-Allerod Interstadial, Younger Dryas stadial, and subsequent Preboreal warming which occurred at the end of the last ice age were…

综合物理 · 物理学 2007-05-23 Paul A. LaViolette

In this article, we review the interdisciplinary techniques (borrowed from physics, mathematics, statistics, machine-learning, etc.) and methodological framework that we have used to understand climate systems, which serve as examples of…

数据分析、统计与概率 · 物理学 2024-05-29 Alka Yadav , Sourish Das , Anirban Chakraborti

Since 1970, the R\"ossler system has remained as a considerably simpler and minimal dimensional chaos serving system. Unveiling the dynamics of a system of two coupled chaotic oscillators that leads to the emergence of extreme events in the…

混沌动力学 · 物理学 2024-09-25 S. Sudharsan , Tapas Kumar Pal , Dibakar Ghosh , Jürgen Kurths