Extreme events in dynamical systems and random walkers: A review

SN Chowdhury, A Ray, SK Dana, D Ghosh - Physics Reports, 2022 - Elsevier
Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

Statistics of extreme events in fluid flows and waves

TP Sapsis - Annual Review of Fluid Mechanics, 2021 - annualreviews.org
Extreme events in fluid flows, waves, or structures interacting with them are critical for a wide
range of areas, including reliability and design in engineering, as well as modeling risk of …

N-soliton, Mth-order breather, Hth-order lump, and hybrid solutions of an extended (3+1)-dimensional Kadomtsev-Petviashvili equation

Y Shen, B Tian, CD Cheng, TY Zhou - Nonlinear Dynamics, 2023 - Springer
Investigated in this paper is an extended (3+ 1)-dimensional Kadomtsev-Petviashvili
equation. We determine the N-soliton solutions of that equation via an existing bilinear form …

Experimental evidence of hydrodynamic instantons: the universal route to rogue waves

G Dematteis, T Grafke, M Onorato, E Vanden-Eijnden - Physical Review X, 2019 - APS
A statistical theory of rogue waves is proposed and tested against experimental data
collected in a long water tank where random waves with different degrees of nonlinearity are …

Rogue waves in nonlinear optics

M Tlidi, M Taki - Advances in Optics and Photonics, 2022 - opg.optica.org
Understanding the phenomenon of rogue wave formation, often called extreme waves, in
diverse branches of nonlinear science has become one of the most attractive domains …

Extreme events: Mechanisms and prediction

M Farazmand, TP Sapsis - Applied …, 2019 - asmedigitalcollection.asme.org
Extreme events, such as rogue waves, earthquakes, and stock market crashes, occur
spontaneously in many dynamical systems. Because of their usually adverse …

Sequential sampling strategy for extreme event statistics in nonlinear dynamical systems

MA Mohamad, TP Sapsis - Proceedings of the National …, 2018 - National Acad Sciences
We develop a method for the evaluation of extreme event statistics associated with nonlinear
dynamical systems from a small number of samples. From an initial dataset of design points …

Using machine learning to predict extreme events in complex systems

D Qi, AJ Majda - Proceedings of the National Academy of …, 2020 - National Acad Sciences
Extreme events and the related anomalous statistics are ubiquitously observed in many
natural systems, and the development of efficient methods to understand and accurately …

[HTML][HTML] Statistical modelling of the ocean environment–A review of recent developments in theory and applications

E Vanem, T Zhu, A Babanin - Marine Structures, 2022 - Elsevier
Probabilistic modelling and statistical analysis of environmental conditions is important for
the design and assessment of ships and other marine structures. It will give a necessary …

Emerging trends in numerical simulations of combustion systems

V Raman, M Hassanaly - Proceedings of the Combustion Institute, 2019 - Elsevier
Numerical simulations have played a vital role in the design of modern combustion systems.
Over the last two decades, the focus of research has been on the development of the large …