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Updated: Sep 16, 2025
08:24
The Joint Effect of Social Comparison and Social Distance on Evaluation of Intertemporal Choice Outcomes in Event-related Potential Studies
Published on: August 25, 2023
806
To be an extreme event or not: That is the question.
Christophe Letellier1, Léandre Kamdjeu Kengne2,3, Manyu Zhao2
1Rouen Normandie University-CORIA, Campus Universitaire du Madrillet, F-76800 Saint-Etienne du Rouvray, France.
Chaos (Woodbury, N.Y.)
|July 11, 2025
Summary
This study proposes a new definition for extreme events based on topological dynamics and thresholds for oscillation amplitude and return time. This approach helps distinguish and potentially predict extreme events in complex systems.
Area of Science:
- Complex Systems Dynamics
- Nonlinear Dynamics
- Chaos Theory
Background:
- The definition of extreme events lacks consensus in scientific literature.
- Distinguishing extreme events from normal dynamics is crucial for prediction and understanding.
Purpose of the Study:
- To propose a novel, topologically-based definition for extreme events.
- To establish criteria for identifying and potentially predicting extreme events.
Main Methods:
- Topological characterization of nominal dynamics.
- Utilizing two thresholds: oscillation amplitude and return time between intersections with a surface of section.
- Investigating a 3D jerk system and a 9D model for Rayleigh-Bénard convection.
Main Results:
- A topological method is presented to define extreme events.
- The tipping point between small and large amplitude oscillations was identified in a 3D jerk system.
- The potential for predicting large-amplitude oscillations was explored.
Conclusions:
- The proposed topological definition offers a rigorous framework for identifying extreme events.
- The method shows promise in distinguishing and predicting critical transitions in dynamical systems.
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