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External and internal factors may cause a system's parameter to vary with time before it stabilizes. This drift induces a regime shift when the parameter crosses a bifurcation. Here, we study the case of an infinite dimensional system: a…

混沌动力学 · 物理学 2020-10-14 Julia Cantisán , Jesús M. Seoane , Miguel A. F. Sanjuán

The effect caused by the presence of a number of distinct time scales in a simple stochastic model for the Earth's atmosphere temperature fluctuations is studied. The model is described by a dissipative dynamics consisting of a set of…

大气与海洋物理 · 物理学 2007-05-23 Arturo Berrones

Complex systems exhibiting critical transitions when one of their governing parameters varies are ubiquitous in nature and in engineering applications. Despite a vast literature focusing on this topic, there are few studies dealing with the…

流体动力学 · 物理学 2018-03-08 Giacomo Bonciolini , Dominik Ebi , Edouard Boujo , Nicolas Noiray

We consider the formalism of information decomposition of target effects from multi-source interactions, i.e. the problem of defining redundant and synergistic components of the information that a set of source variables provides about a…

统计力学 · 物理学 2019-04-24 Daniele Marinazzo , Leonardo Angelini , Mario Pellicoro , Sebastiano Stramaglia

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…

机器学习 · 计算机科学 2024-09-13 Yu Huang , Sebastian Bathiany , Peter Ashwin , Niklas Boers

Friction is ubiquitous in daily life, from nanoscale machines to large engineering components. By probing the intricate interplay between system parameters and frictional behavior, scientists seek to unveil the underlying mechanisms that…

材料科学 · 物理学 2025-11-26 Yulong Li , Peter Gumbsch , Christian Greiner

Early-warning indicators (increase of autocorrelation and variance) are commonly applied to time series data to try and detect tipping points of real-world systems. The theory behind these indicators originates from approximating the…

动力系统 · 数学 2016-09-26 Paul Ritchie , Jan Sieber

This paper proposes strategies to detect time reversibility in stationary stochastic processes by using the properties of mixed causal and noncausal models. It shows that they can also be used for non-stationary processes when the trend…

计量经济学 · 经济学 2022-11-23 Francesco Giancaterini , Alain Hecq , Claudio Morana

Vital parts of the climate system, such as the West Antarctic Ice Sheet, are at risk even within the aspired aims of the Paris Agreement to limit global temperature rise to 1.5 -- 2{\deg}C. These so-called natural tipping elements are…

The Late Pleistocene Antarctic temperature variation curve is decomposed into two components: cyclic and high frequency, stochastic. For each of these components, a mathematical model is developed which shows that the cyclic and stochastic…

大气与海洋物理 · 物理学 2014-07-15 Lev A. Maslov

The energy-balance model of global climate, which is taking into account a nontrivial role of solar and galactic protons, is presented. The model is described by the equation of fold catastrophe relative to increment of temperature, where…

Global environmental change is pushing many socio-environmental systems towards critical thresholds, where ecological systems' states are on the precipice of tipping points and interventions are needed to navigate or avert impending…

理论经济学 · 经济学 2024-04-23 Andrew R. Tilman , Elisabeth H. Krueger , Lisa C. McManus , James R. Watson

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…

动力系统 · 数学 2021-04-09 Andrew Keane , Bernd Krauskopf , Timothy M. Lenton

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…

适应与自组织系统 · 物理学 2025-05-08 Tom Bdolach , Jürgen Kurths , Serhiy Yanchuk

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…

计算工程、金融与科学 · 计算机科学 2025-09-09 Wenjie Zhang , Yu Huang , Sebastian Bathiany , Yechul Shin , Maya Ben-Yami , Suiping Zhou , Niklas Boers

In the past decades human activities caused global Earth system changes, e.g., climate change or biodiversity loss. Simultaneously, these associated impacts have increased environmental awareness within societies across the globe, thereby…

物理与社会 · 物理学 2021-05-11 Paul Manuel Müller , Jobst Heitzig , Jürgen Kurths , Kathy Lüdge , Marc Wiedermann

The origin of bimodal behavior in the residue distribution experimentally measured in heavy ion reactions is reexamined using Boltzmann-Uehling-Uhlenbeck simulations. We suggest that, depending on the incident energy and impact parameter of…

核理论 · 物理学 2018-03-14 S. Mallik , G. Chaudhuri , F. Gulminelli

Warning signs for tipping points (or critical transitions) have been very actively studied. Although the theory has been applied successfully in models and in experiments for many complex systems such as for tipping in climate systems,…

动力系统 · 数学 2022-04-06 Christian Kuehn , Kerstin Lux , Alexandra Neamtu

Paleoclimate data help us assess climate sensitivity and potential human-made climate effects. We conclude that Earth in the warmest interglacial periods of the past million years was less than 1{\deg}C warmer than in the Holocene. Polar…

大气与海洋物理 · 物理学 2012-09-12 James E. Hansen , Makiko Sato

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 2014-05-20 Lev A. Maslov