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arXiv · 1905.00528

Dragon-kings death in nonlinear wave interactions

Moises S. Santos·José D. Szezech Jr·Antonio M. Batista·Kelly C. Iarosz·Iberê L. Caldas·Ricardo L. Viana
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Abstract

Extreme events are characterised by low probabilities and high impact on the systems. As a consequence, it is possible to find many studies about the predictability and suppression of extreme events. In this work, we show the existence of dragon-kings extreme events in nonlinear three-wave interactions. Dragon-king extreme events, identified by phase transitions, tipping points, and catastrophes, affects fluctuating systems. We show that these events can be avoided by adding a perturbing small amplitude wave to the system.

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Moises S. Santos, José D. Szezech Jr, Antonio M. Batista, Kelly C. Iarosz, Iberê L. Caldas, Ricardo L. Viana. 2019-05-01. Dragon-kings death in nonlinear wave interactions. https://doi.org/10.1016/j.physa.2019.122296

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