Symmetrical emergence of extreme events at multiple regions in a damped and driven velocity-dependent mechanical system

TL;DR

This paper investigates the symmetrical emergence of extreme events in a damped, driven velocity-dependent mechanical system, revealing their occurrence at multiple points and analyzing their underlying mechanisms.

Contribution

It introduces the observation of symmetric extreme events at multiple points and classifies their emergence mechanisms in a velocity-dependent mechanical system.

Findings

Extreme events occur symmetrically at multiple points.

Probability distribution confirms the statistical nature of extreme events.

Two categories of emergence points are identified.

Abstract

In this work, we report the emergence of extreme events in a damped and driven velocity-dependent mechanical system. We observe that the extreme events emerge at multiple points. We further notice that the extreme events occur symmetrically in both positive and negative values at all the points of emergence. We statistically confirm the emergence of extreme events by plotting the probability distribution function of peaks and interevent intervals. We also determine the mechanism behind the emergence of extreme events at all the points and classify these points into two categories depending on the region at which the extreme events emerge. Finally, we plot the two parameter diagram in order to have a complete overview of the system.