Modeling Front Pattern Formation and Intermittent Bursting Phenomena in the Couette Flow Reactor

Arnéodo, A.; Elezgaray, Juan

doi:10.1007/978-94-011-1156-0_16

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Multiscale Systems1

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2019

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“…The early work on this subject was motivated by the observation of relaxation oscillations in electrical circuits [65,66,67]. Later, slow-fast dynamics found applications in a wide range of problems such as chemical reactions [68,69,70,71,72], excitable systems (e.g., neural networks) [73,74,75,76,77,78,79], extreme weather patterns [80,81,82], and dynamics of finite-size particles in fluid flows [83,84].…”

Section: Multiscale Systemsmentioning

confidence: 99%

Extreme Events: Mechanisms and Prediction

Farazmand

Sapsis

2019

Applied Mechanics Reviews

105

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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 specially 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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