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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

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

We discuss tipping phenomena (critical transitions) in nonautonomous systems using an example of a bistable ecosystem model with environmental changes represented by time-varying parameters [Scheffer et al., Ecosystems, 11 (2008), pp.…

Dynamical Systems · Mathematics 2020-11-24 Paul E. O'Keeffe , Sebastian Wieczorek

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…

Chaotic Dynamics · Physics 2016-10-07 Everton S. Medeiros , Iberê L. Caldas , Murilo S. Baptista , Ulrike Feudel

Understanding and evaluating uncertainty play a key role in decision-making. When a viewer studies a visualization that demands inference, it is necessary that uncertainty is portrayed in it. This paper showcases the importance of…

Human-Computer Interaction · Computer Science 2023-01-19 Krisha Mehta

Various subsystems of the Earth system may undergo critical transitions by passing a so-called tipping point, under sustained changes to forcing. For example, the Atlantic Meridional Overturning Circulation (AMOC) is of particular…

Atmospheric and Oceanic Physics · Physics 2021-11-01 Kerstin Lux , Peter Ashwin , Richard Wood , Christian Kuehn

Bifurcations can cause dynamical systems with slowly varying parameters to transition to far-away attractors. The terms ``critical transition'' or ``tipping point'' have been used to describe this situation. Critical transitions have been…

Dynamical Systems · Mathematics 2015-03-17 Christian Kuehn

In the classroom, we traditionally visualize inferential concepts using static graphics or interactive apps. For example, there is a long history of using apps to visualize sampling distributions. Recent developments in statistical graphics…

Other Statistics · Statistics 2020-06-23 Adam Loy

Information visualizations are powerful tools that help users quickly identify patterns, trends, and outliers, facilitating informed decision-making. However, when visualizations incorporate deceptive design elements-such as truncated or…

Computation and Language · Computer Science 2025-08-14 Ridwan Mahbub , Mohammed Saidul Islam , Md Tahmid Rahman Laskar , Mizanur Rahman , Mir Tafseer Nayeem , Enamul Hoque

Sudden transitions in the state of a system are often undesirable in natural and human-made systems. Such transitions under fast variation of system parameters are called rate-induced tipping. We experimentally demonstrate rate-induced…

Applied Physics · Physics 2022-09-15 Induja Pavithran , P. R. Midhun , R. I. Sujith

Tipping points occur in many real-world systems, at which the system shifts suddenly from one state to another. The ability to predict the occurrence of tipping points from time series data remains an outstanding challenge and a major…

Machine Learning · Computer Science 2024-12-10 Chengzuo Zhuge , Jiawei Li , Wei Chen

Rate-induced tipping (R-tipping) occurs when a ramp parameter changes rapidly enough to cause the system to tip between co-existing, attracting states, while noise-induced tipping (N-tipping) occurs when there are random transitions between…

Chaotic Dynamics · Physics 2024-10-02 Katherine Slyman , Emmanuel Fleurantin , Christopher K. R. T. Jones

We present and discuss the results of a two-year qualitative analysis of images published in IEEE Visualization (VIS) papers. Specifically, we derive a typology of 13 visualization image types, coded to distinguish visualizations and…

Abrupt shifts in ecosystems, brains, markets, and climate are often diagnosed as signs of approaching a tipping point, i.e. a critical bifurcation where stability is lost. Here we reveal a broader and more deceptive mechanism:…

Chaotic Dynamics · Physics 2025-10-06 Virgile Troude , Sandro Claudio Lera , Ke Wu , Didier Sornette

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

Visualizations help communicate data insights, but deceptive data representations can distort their interpretation and propagate misinformation. While recent Vision Language Models (VLMs) perform well on many chart understanding tasks,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Harsh Nishant Lalai , Raj Sanjay Shah , Hanspeter Pfister , Sashank Varma , Grace Guo

Single neurons in neural networks are often interpretable in that they represent individual, intuitively meaningful features. However, many neurons exhibit $\textit{mixed selectivity}$, i.e., they represent multiple unrelated features. A…

Machine Learning · Statistics 2023-10-19 David Klindt , Sophia Sanborn , Francisco Acosta , Frédéric Poitevin , Nina Miolane

How do classification models "see" our data? Based on their success in delineating behaviors, there must be some lens through which it is easy to see the boundary between classes; however, our current set of visualization techniques makes…

Machine Learning · Computer Science 2026-03-17 Christian Jorgensen , Arthur Y. Lin , Rhushil Vasavada , Rose K. Cersonsky

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

An important task in visualization is the extraction and highlighting of dominant features in data to support users in their analysis process. Topological methods are a well-known means of identifying such features in deterministic fields.…

Human-Computer Interaction · Computer Science 2023-01-09 Dominik Vietinghoff , Michael Böttinger , Gerik Scheuermann , Christian Heine
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