English

Dragon-kings death in nonlinear wave interactions

Chaotic Dynamics 2019-09-04 v1

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.

Cite

@article{arxiv.1905.00528,
  title  = {Dragon-kings death in nonlinear wave interactions},
  author = {Moises S. Santos and José D. Szezech and Antonio M. Batista and Kelly C. Iarosz and Iberê L. Caldas and Ricardo L. Viana},
  journal= {arXiv preprint arXiv:1905.00528},
  year   = {2019}
}
R2 v1 2026-06-23T08:54:44.645Z