Rogue Waves and Extreme Events

Extreme Events: Mechanisms and Prediction

Applied Mechanics Reviews ◽

10.1115/1.4042065 ◽

2019 ◽

Vol 71 (5) ◽

Cited By ~ 20

Author(s):

Mohammad Farazmand ◽

Themistoklis P. Sapsis

Keyword(s):

Dynamical Systems ◽

Extreme Events ◽

Rogue Waves ◽

High Dimensional ◽

Future Research ◽

Research Directions ◽

Chaotic Dynamical Systems ◽

Time Prediction ◽

Market Crashes ◽

Future Research Directions

Abstract 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 desirable. Here, we review several aspects of extreme events in phenomena described by high-dimensional, chaotic dynamical systems. We especially focus on two pressing aspects of the problem: (i) mechanisms underlying the formation of extreme events and (ii) real-time prediction of extreme events. For each aspect, we explore methods relying on models, data, or both. We discuss the strengths and limitations of each approach as well as possible future research directions.

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Rogue waves and extreme events in nonlinear ultrafast optics

2009 IEEE LEOS Annual Meeting Conference Proceedings ◽

10.1109/leos.2009.5343299 ◽

2009 ◽

Author(s):

J. M. Dudley ◽

G. Genty ◽

F. Dias

Keyword(s):

Extreme Events ◽

Ultrafast Optics ◽

Rogue Waves

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Roadmap on optical rogue waves and extreme events

Journal of Optics ◽

10.1088/2040-8978/18/6/063001 ◽

2016 ◽

Vol 18 (6) ◽

pp. 063001 ◽

Cited By ~ 161

Author(s):

Nail Akhmediev ◽

Bertrand Kibler ◽

Fabio Baronio ◽

Milivoj Belić ◽

Wei-Ping Zhong ◽

...

Keyword(s):

Extreme Events ◽

Rogue Waves

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ROGUE WAVES IN SPATIALLY EXTENDED OPTICAL SYSTEMS

Fluctuation and Noise Letters ◽

10.1142/s0219477512400147 ◽

2012 ◽

Vol 11 (01) ◽

pp. 1240014 ◽

Cited By ~ 18

Author(s):

S. RESIDORI ◽

U. BORTOLOZZO ◽

A. MONTINA ◽

F. LENZINI ◽

F. T. ARECCHI

Keyword(s):

Poisson Distribution ◽

Extreme Events ◽

Waiting Times ◽

Rogue Waves ◽

High Amplitude ◽

Optical Systems ◽

Statistical Features ◽

Minimal Size ◽

Spatially Extended ◽

The Individual

Giant anomalous events may occur in systems characterized by many waves, with extremely high amplitude waves appearing with a probability much higher than expected for a random dynamics. Such rare, and giant, events are known to occur on the ocean surface and have been named, in that context, "rogue waves". We present here some recent experimental results on the statistical properties of giant optical waves, or "optical rogue waves", observed in spatially extended optical systems. We will present the main statistical features of such extreme events, then, based on both a linear and a nonlinear experiment, we will outline a way enabling us to identify two key ingredients at the origin of optical rogue waves, namely, granularity, that is, a minimal size of the individual light spots, and inhomogeneity, that is, clustering of the light spots into separate domains with different average intensities. In the linear experiment we measure also the statistics of the waiting times between successive rogue waves and we show that it follows a log-Poisson distribution, which is characteristics of event separation observed in cooperative, complex systems and in such different fields as geophysics and biology.

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