Emergence of extreme events in a quasiperiodic oscillator

Extreme events are unusual and rare large-amplitude fluctuations can occur 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 those that are rare in the frequency of occurrence and extreme in amplitude, various studies have shown that extreme events are both linear and nonlinear in nature. Interestingly, in this Letter, we report on a special class of extreme events which are nonchaotic and nonperiodic. These nonchaotic extreme events appear in between the quasiperiodic and chaotic dynamics of the system. We report the existence of such extreme events with various statistical measures and characterization techniques.

Automated summary

Extreme events are unusual and rare large-amplitude fluctuations that can occur unexpectedly in nonlinear dynamical systems, characterized by events above the extreme event threshold. Different mechanisms and prediction measures for extreme events have been reported. Studies have shown that extreme events are both linear and nonlinear in nature, with rare frequency of occurrence and extreme amplitude. In this Letter, we report on a special class of nonchaotic and nonperiodic extreme events that appear between quasiperiodic and chaotic dynamics of the system. We demonstrate the existence of such extreme events with various statistical measures and characterization techniques.