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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…

Computational Engineering, Finance, and Science · Computer Science 2025-09-09 Wenjie Zhang , Yu Huang , Sebastian Bathiany , Yechul Shin , Maya Ben-Yami , Suiping Zhou , Niklas Boers

Catastrophic regime shifts in complex natural systems may be averted through advanced detection. Recent work has provided a proof-of-principle that many systems approaching a catastrophic transition may be identified through the lens of…

Other Quantitative Biology · Quantitative Biology 2012-04-30 Carl Boettiger , Alan Hastings

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

The early prediction of tipping points, distinguished by sudden and catastrophic shifts from stable states, poses a challenging task that would enable us to assess the impending threat across natural and engineered systems. This threat…

Statistical Mechanics · Physics 2025-12-02 Tapas Bar , Anurag Banerjee , Blai Casals , Gustau Catalan , Javier Rodríguez-Viejo

Abrupt transitions are ubiquitous in the dynamics of complex systems. Finding precursors, i.e. early indicators of their arrival, is fundamental in many areas of science ranging from electrical engineering to climate. However, obtaining…

Statistical Mechanics · Physics 2016-07-15 Victor Rodriguez-Mendez , Victor M. Eguiluz , Emilio Hernandez-Garcia , Jose J. Ramasco

The development of robust Early Warning Signals (EWS) is necessary to quantify the risk of crossing tipping points in the present-day climate change. Classically, EWS are statistical measures based on time series of climate state variables,…

Atmospheric and Oceanic Physics · Physics 2025-03-25 Laure Moinat , Jérôme Kasparian , Maura Brunetti

Among the properties that are common to complex systems, the presence of critical thresholds in the dynamics of the system is one of the most important. Recently, there has been interest in the universalities that occur in the behavior of…

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

This Thesis explores how tools from Statistical Physics and Information Theory can help us describe and understand complex systems. In the first part, we study the interplay between internal interactions, environmental changes, and…

Statistical Mechanics · Physics 2023-03-01 Giorgio Nicoletti

There is considerable interest in developing predictive capabilities for social diffusion processes, for instance to permit early identification of emerging contentious situations, rapid detection of disease outbreaks, or accurate…

Social and Information Networks · Computer Science 2013-01-01 Richard Colbaugh , Kristin Glass

Detecting early warning indicators for abrupt dynamical transitions in complex systems or high-dimensional observation data is essential in many real-world applications, such as brain diseases, natural disasters, and engineering…

Machine Learning · Statistics 2024-04-08 Lingyu Feng , Ting Gao , Wang Xiao , Jinqiao Duan

Transition points mark qualitative changes in the macroscopic properties of large complex systems. Explosive transitions, exhibiting properties of both continuous and discontinuous phase transitions, have recently been uncovered in network…

Physics and Society · Physics 2021-06-01 Nora Molkenthin , Malte Schröder , Marc Timme

As a promising computational paradigm, occurrence of critical states in artificial and biological neural networks has attracted wide-spread attention. An often-made explicit or implicit assumption is that one single critical state is…

Neurons and Cognition · Quantitative Biology 2017-08-15 Karlis Kanders , Tom Lorimer , Yoko Uwate , Willi-Hans Steeb , Ruedi Stoop

Regime shifts are quite common in complex systems like cell regulations, disease transmissions, ecosystems, marine ice instability, etc. Several statistical indicators known as early warning signals (EWS) have been theorized to anticipate…

Dynamical Systems · Mathematics 2024-01-18 Shankha Narayan Chattopadhyay , Arvind Kumar Gupta

Gradual changes in exploitation, nutrient loading, etc. produce shifts between alternative stable states (ASS) in ecosystems which, quite often, are not smooth but abrupt or catastrophic. Early warnings of such catastrophic regime shifts…

Populations and Evolution · Quantitative Biology 2009-10-07 Ariel Fernandez , Hugo Fort

Complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in the…

Adaptation and Self-Organizing Systems · Physics 2021-07-07 Deniz Eroglu , Matteo Tanzi , Sebastian van Strien , Tiago Pereira

Contagions such as the spread of popular news stories, or infectious diseases, propagate in cascades over dynamic networks with unobservable topologies. However, "social signals" such as product purchase time, or blog entry timestamps are…

Machine Learning · Statistics 2016-12-21 Brian Baingana , Georgios B. Giannakis

We study structural changes of adaptive networks in the co-evolutionary susceptible-infected-susceptible (SIS) network model along its phase transition. We clarify to what extent these changes can be used as early-warning signs for the…

Physics and Society · Physics 2018-11-07 Leonhard Horstmeyer , Christian Kuehn , Stefan Thurner

Many-variable differential equations with random coefficients provide powerful models for the dynamics of many interacting species in ecology. These models are known to exhibit a dynamical phase transition from a phase where population…

Statistical Mechanics · Physics 2025-02-19 Thibaut Arnoulx de Pirey , Guy Bunin

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…

Data Analysis, Statistics and Probability · Physics 2018-12-24 Xiaozhu Zhang , Christian Kuehn , Sarah Hallerberg