Emergence of extreme events in a quasi-periodic oscillator

TL;DR

This paper investigates a unique class of nonchaotic, nonperiodic extreme events occurring in a quasi-periodic oscillator, expanding understanding of how such rare, large fluctuations emerge in nonlinear dynamical systems.

Contribution

It introduces and characterizes a novel type of extreme event that is nonchaotic and nonperiodic, occurring between quasi-periodic and chaotic regimes in a nonlinear oscillator.

Findings

Existence of nonchaotic, nonperiodic extreme events in the system

Characterization of these events using statistical measures

Identification of their occurrence between quasi-periodic and chaotic dynamics

Abstract

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 extreme events. Different mechanisms for the generation of extreme events and their prediction measures have been reported in the literature. Based on the properties of extreme events, such as rare in frequency of occurrence and extreme in amplitude, various studies have shown that extreme events are both linear and nonlinear in nature. Interestingly, in this work, we report on a special class of extreme events which are nonchaotic and nonperiodic. These nonchaotic extreme events appear in between the quasi-periodic and chaotic dynamics of the system. We report the existence of such extreme events with various statistical measures and characterization techniques.