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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…

Fluid Dynamics · Physics 2022-04-26 Alberto Racca , Luca Magri

We propose a physics-constrained machine learning method-based on reservoir computing- to time-accurately predict extreme events and long-term velocity statistics in a model of turbulent shear flow. The method leverages the strengths of two…

Fluid Dynamics · Physics 2021-04-14 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

We propose a physics-aware machine learning method to time-accurately predict extreme events in a turbulent flow. The method combines two radically different approaches: empirical modelling based on reservoir computing, which learns the…

Fluid Dynamics · Physics 2019-12-24 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

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…

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…

Data Analysis, Statistics and Probability · Physics 2022-05-18 Sayantan Nag Chowdhury , Arnob Ray , Syamal K. Dana , Dibakar Ghosh

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…

Chaotic Dynamics · Physics 2018-03-19 Mohammad Farazmand , Themistoklis P. Sapsis

Extreme events are unusual and rare large-amplitude fluctuations that occur can unexpectedly in nonlinear dynamical systems. Events above the extreme event threshold of the probability distribution of a nonlinear process characterize…

Data Analysis, Statistics and Probability · Physics 2023-03-08 Premraj Durairaj , Sathiyadevi Kanagaraj , Suresh Kumarasamy , Karthikeyan Rajagopal

The extreme loads experienced by the wind turbine in the extreme wind events are critical for the evaluation of structural reliability. Hence, the load alleviation control methods need to be designed and deployed to reduce the adverse…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Liang Dong , Wai Hou Lio

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…

Chaotic Dynamics · Physics 2025-07-11 Alexandre C. Andreani , Bruno R. R. Boaretto , Elbert E. N. Macau

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

Dynamical systems with extreme events are difficult to capture with data-driven modeling, due to the relative scarcity of data within extreme events compared to the typical dynamics of the system, and the strong dependence of the long-time…

Fluid Dynamics · Physics 2023-06-30 Andrew J. Fox , C. Ricardo Constante-Amore , Michael D. Graham

We describe adaptive control algorithms whereby a chaotic dynamical system can be steered to a target state with desired characteristics. A specific implementation considered has the objective of directing the system to a state which is…

chao-dyn · Physics 2009-10-31 Ramakrishna Ramaswamy , Sudeshna Sinha , Neelima Gupte

The event-triggered control with intermittent output can reduce the communication burden between the controller and plant side over the network. It has been exploited for adaptive output feedback control of uncertain nonlinear systems in…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Gewei Zuo , Lijun Zhu

This paper addresses the problem of obtaining low-order models of fluid flows for the purpose of designing robust feedback controllers. This is challenging since whilst many flows are governed by a set of nonlinear, partial…

This paper proposes a discrete-time event-triggered extremum seeking control scheme for real-time optimization of nonlinear systems. Unlike conventional discrete-time implementations relying on periodic updates, the proposed approach…

Optimization and Control · Mathematics 2026-04-03 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstić , Frank Allgöwer

This work addresses the data-driven forecasting of extreme events in the airfoil flow. These events may be seen as examples of the kind of unsteady and intermittent dynamics relevant to the flow around airfoils and wings in a variety of…

Fluid Dynamics · Physics 2023-03-14 Benedikt Barthel , Themistoklis Sapsis

Event-triggered and self-triggered control have recently been proposed as implementation strategies that considerably reduce the resources required for control. Although most of the work so far has focused on closing a single control loop,…

Optimization and Control · Mathematics 2011-09-05 Romain Postoyan , Paulo Tabuada , Dragan Nesic , Adolfo Anta

This paper presents adaptive event-triggered formation control strategies for autonomous vehicles (AVs) subject to longitudinal and lateral motion uncertainties. The proposed framework explores various vehicular formations to enable safe…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Ziming Wang , Yihuai Zhang , Chenguang Zhao , Huan Yu

Extreme events are ubiquitous in a wide range of dynamical systems, including turbulent fluid flows, nonlinear waves, large scale networks and biological systems. Here, we propose a variational framework for probing conditions that trigger…

Fluid Dynamics · Physics 2018-07-10 Mohammad Farazmand , Themistoklis P. Sapsis

Closed-loop control of turbulent flows is a challenging problem with important practical and fundamental implications. We perform closed-loop control of forced, turbulent jets based on a wave-cancellation strategy. The study is motivated by…

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