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The role of topological heterogeneity in the origin of extreme events in a network is investigated here. The dynamics of the oscillators associated with the nodes are assumed to be identical and influenced by mean-field repulsive…

We study the impact of the coupling topology on the ability of various networked dynamical systems to generate extreme events. By determining the coupling strength that is necessary to generate an extreme event in the collective dynamics of…

Chaotic Dynamics · Physics 2026-05-29 Christian Hechler , Timo Bröhl , Ulrike Feudel , Klaus Lehnertz

We notice signatures of extreme events-like behavior in a laser based Ikeda map. The trajectory of the system occasionally travels a large distance away from the bounded chaotic region, which appears as intermittent spiking events in the…

Chaotic Dynamics · Physics 2019-05-06 Arnob Ray , Sarbendu Rakshit , Dibakar Ghosh , Syamal K. Dana

An extreme dissipation event in the bulk of a closed three-dimensional turbulent convection cell is found to be correlated with a strong reduction of the large-scale circulation flow in the system that happens at the same time as a plume…

Fluid Dynamics · Physics 2016-10-13 Joerg Schumacher , Janet D. Scheel

In this paper, we study the effects of correlated random phases in the intensity of a superposition of $N$ wave-fields. Our results suggest that regardless of whether the phase distribution is continuous or discrete if the phases are random…

Applications · Statistics 2020-03-18 Roberto da Silva , Sandra D. Prado

Extreme events have low occurrence probabilities and display pronounced deviation from their average behaviour, such as earthquakes or power blackouts. Such extreme events occurring on the nodes of a complex network have been extensively…

Physics and Society · Physics 2022-02-09 Govind Gandhi , M. S. Santhanam

Extreme events occur in many spatially extended dynamical systems, often devastatingly affecting human life which makes their reliable prediction and efficient prevention highly desirable. We study the prediction and prevention of extreme…

Data Analysis, Statistics and Probability · Physics 2015-10-09 Stephan Bialonski , Gerrit Ansmann , Holger Kantz

The object of this paper is twofold. From one side we study the dichotomy, in terms of the Extremal Index of the possible Extreme Value Laws, when the rare events are centred around periodic or non periodic points. Then we build a general…

Dynamical Systems · Mathematics 2016-03-24 Hale Aytaç , Jorge Milhazes Freitas , Sandro Vaienti

Event-by-event fluctuations and correlations between particles produced in relativistic nuclear collisions are studied. The fluctuations in positive, negative, total and net charge are closely related through correlations. In the event of a…

Nuclear Theory · Physics 2008-11-26 H. Heiselberg , A. D. Jackson

The impact of the QCD critical point on the propagation of nonlinear waves has been studied. The effects have been investigated within the scope of second-order causal dissipative hydrodynamics by incorporating the critical point into the…

Nuclear Theory · Physics 2021-09-15 Golam Sarwar , Md Hasanujjaman , Mahfuzur Rahaman , Abhijit Bhattacharyya , Jan-e Alam

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

Complex systems performing spiking dynamics are widespread in Nature. They cover from earthquakes, to neurons, variable stars, social networks, or stock markets. Understanding and characterizing their dynamics is relevant in order to detect…

Data Analysis, Statistics and Probability · Physics 2017-12-14 Meritxell Colet , Andrés Aragoneses

Fluctuations may govern the fate of an interacting particle system even on the mean-field level. This is demonstrated via a three species cyclic trapping reaction with a large, yet finite number of particles, where the final number of…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

The effect of electron-electron interaction on Floquet topological superconducting chains is investigated numerically through full diagonalization and time evolution. The preservation of topology in the weak interacting regime is…

Strongly Correlated Electrons · Physics 2016-08-31 Wei. Su , M. N. Chen , L. B. Shao , L. Sheng , D. Y. Xing

The aim of this work is the quantification and prediction of rare events characterized by extreme intensity in nonlinear waves with broad spectra. We consider a one-dimensional non- linear model with deep-water waves dispersion relation,…

Chaotic Dynamics · Physics 2015-01-22 Will Cousins , Themistoklis P. Sapsis

Although higher-order interactions are known to affect the typical state of dynamical processes giving rise to new collective behavior, how they drive the emergence of rare events and fluctuations is still an open problem. We investigate…

Disordered Systems and Neural Networks · Physics 2024-09-09 Leonardo Di Gaetano , Giorgio Carugno , Federico Battiston , Francesco Coghi

Interacting particle systems with many degrees of freedom may undergo phase transitions to sustain atypical fluctuations of dynamical observables such as the current or the activity. This leads in some cases to symmetry-broken space-time…

Statistical Mechanics · Physics 2019-08-23 Carlos Pérez-Espigares , Pablo I. Hurtado

Studying extreme events and how they evolve in a changing climate is one of the most important current scientific challenges. Starting from complex climate models, a key difficulty is to be able to run long enough simulations in order to…

Atmospheric and Oceanic Physics · Physics 2017-12-27 Francesco Ragone , Jeroen Wouters , Freddy Bouchet

The occurrence of some extreme events (such as marine heatwaves or exceptional circulations) can cause other extreme events (such as heatwave, drought and flood). These concurrent extreme events have a great impact on environment and human…

Atmospheric and Oceanic Physics · Physics 2025-09-08 Siyang Yu , Yu Huang , Zuntao Fu

Extreme events, or rogue waves, are high-amplitude, rare occurrences that emerge across diverse physical systems and often defy conventional statistical predictions. While optical systems provide a controlled setting for studying these…

Optics · Physics 2026-02-04 T. Wang , Z. Li , Y. Ma , J. Huang , Y. Li , Z. Tu , S. Xiang , G. Ruocco , Y. Hao