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We study deterministic systems, composed of excitable units of FitzHugh-Nagumo type, that are capable of self-generating and self-terminating strong deviations from their regular dynamics without the influence of noise or parameter change.…

混沌动力学 · 物理学 2014-08-28 Gerrit Ansmann , Rajat Karnatak , Klaus Lehnertz , Ulrike Feudel

Systems of FitzHugh-Nagumo units with different coupling topologies are capable of self-generating and -terminating strong deviations from their regular dynamics that can be regarded as extreme events due to their rareness and recurrent…

混沌动力学 · 物理学 2014-08-28 Rajat Karnatak , Gerrit Ansmann , Ulrike Feudel , Klaus Lehnertz

Formulating mitigation strategies is one of the main aspect in the dynamical study of extreme events. Apart from the effective control, easy implementation of the devised tool should also be given importance. In this work, we analyze the…

适应与自组织系统 · 物理学 2024-05-13 R. Shashangan , S. Sudharsan , A. Venkatesan , M. Senthilvelan

Extreme events, such as rogue waves, earthquakes and stock market crashes, occur spontaneously in many dynamical systems. Because of their usually adverse consequences, quantification, prediction and mitigation of extreme events are highly…

混沌动力学 · 物理学 2018-03-19 Mohammad Farazmand , Themistoklis P. Sapsis

An extreme event is a sudden and violent change in the state of a nonlinear system. In fluid dynamics, extreme events can have adverse effects on the system's optimal design and operability, which calls for accurate methods for their…

流体动力学 · 物理学 2022-04-26 Alberto Racca , Luca Magri

The spatio-temporal relations of impacts of extreme events and their drivers in climate data are not fully understood and there is a need of machine learning approaches to identify such spatio-temporal relations from data. The task,…

计算机视觉与模式识别 · 计算机科学 2024-11-01 Mohamad Hakam Shams Eddin , Juergen Gall

The collective dynamics of complex networks of FitzHugh-Nagumo units exhibits rare and recurrent events of high amplitude (extreme events) that are preceded by so-called proto-events during which a certain fraction of the units become…

适应与自组织系统 · 物理学 2020-07-15 Timo Bröhl , Klaus Lehnertz

Extreme events gain the attention of researchers due to their utmost importance in various contexts ranging from finance to climatology. This brings such recurrent events to the limelight of attention in interdisciplinary research. A…

数据分析、统计与概率 · 物理学 2022-05-18 Sayantan Nag Chowdhury , Arnob Ray , Syamal K. Dana , Dibakar Ghosh

To predict rare extreme events using deep neural networks, one encounters the so-called small data problem because even long-term observations often contain few extreme events. Here, we investigate a model-assisted framework where the…

机器学习 · 计算机科学 2022-04-20 Anna Asch , Ethan Brady , Hugo Gallardo , John Hood , Bryan Chu , Mohammad Farazmand

In many complex systems, large events are believed to follow power-law, scale-free probability distributions, so that the extreme, catastrophic events are unpredictable. Here, we study coupled chaotic oscillators that display extreme…

We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- hierarchical structure, spatial dynamics, and external driving -- are combined in a classical branching diffusion with…

地球物理 · 物理学 2010-03-02 Andrei Gabrielov , Vladimir Keilis-Borok , Sayaka Olsen , Ilya Zaliapin

Extreme events occur across the natural, engineering, and socioeconomic sciences, where rare but high-impact episodes can lead to disproportionate consequences that pose major challenges for prediction and risk management. Existing studies…

动力系统 · 数学 2026-05-22 Charlotte Moser , Nan Chen , Marios Andreou

This work proposes an innovative approach using machine learning to predict extreme events in time series of chaotic dynamical systems. The research focuses on the time series of the H\'enon map, a two-dimensional model known for its…

混沌动力学 · 物理学 2025-07-11 Alexandre C. Andreani , Bruno R. R. Boaretto , Elbert E. N. Macau

We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- direct cascading or fragmentation, spatial dynamics, and external driving -- are combined in a classical age-dependent…

适应与自组织系统 · 物理学 2007-08-14 Andrei Gabrielov , Vladimir Keilis-Borok , Ilya Zaliapin

Extreme value analysis is an essential methodology in the study of rare and extreme events, which hold significant interest in various fields, particularly in the context of environmental sciences. Models that employ the exceedances of…

统计方法学 · 统计学 2025-07-16 Lorenzo Dell'Oro , Carlo Gaetan

Extreme weather is one of the main mechanisms through which climate change will directly impact human society. Coping with such change as a global community requires markedly improved understanding of how global warming drives extreme…

计算物理 · 物理学 2019-09-18 Adam Rupe , Karthik Kashinath , Nalini Kumar , Victor Lee , Prabhat , James P. Crutchfield

Dynamical systems with high intrinsic dimensionality are often characterized by extreme events having the form of rare transitions several standard deviations away from the mean. For such systems, order-reduction methods through projection…

混沌动力学 · 物理学 2018-07-04 Zhong Yi Wan , Pantelis R. Vlachas , Petros Koumoutsakos , Themistoklis P. Sapsis

Predicting extreme events in high-dimensional chaotic dynamical systems remains a fundamental challenge, as such events are rare, intermittent, and arise from transient dynamical mechanisms that are difficult to infer from limited…

机器学习 · 计算机科学 2026-03-12 Eirini Katsidoniotaki , Themistoklis P. Sapsis

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

A central problem in uncertainty quantification is how to characterize the impact that our incomplete knowledge about models has on the predictions we make from them. This question naturally lends itself to a probabilistic formulation, by…

统计力学 · 物理学 2018-09-03 Giovanni Dematteis , Tobias Grafke , Eric Vanden-Eijnden
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