Extreme bursting events via pulse-shaped explosion in mixed Rayleigh-Lienard nonlinear oscillator

TL;DR

This paper investigates the emergence of extreme bursting events in a driven Rayleigh-Lienard oscillator, revealing a pulse-shaped explosion mechanism and demonstrating control via damping.

Contribution

It introduces a novel pulse-shaped explosion mechanism causing extreme bursting events in a hybrid nonlinear oscillator model.

Findings

Extreme bursting events are linked to a pulse-shaped transition in equilibrium points.

Strong damping can eliminate extreme events, leaving only periodic bursts.

The system exhibits complex periodic and chaotic bursting patterns.

Abstract

We study the dynamics of a parametrically and externally driven Rayleigh-Lienard hybrid model and report the emergence of extreme bursting events due to a novel pulse-shaped explosion mechanism. The system exhibits complex periodic and chaotic bursting patterns amid small oscillations as a function of excitation frequencies. In particular, the advent of rare and recurrent chaotic bursts that emerged for certain parameter regions is characterized as extreme events. We have identified that the appearance of a sharp pulse-like transition that occurred in the equilibrium points of the system is the underlying mechanism for the development of bursting events. Further, the controlling aspect of extreme events is attempted by incorporating a linear damping term, and we show that for sufficiently strong damping strength, the extreme events are eliminated from the system, and only periodic bursting is feasible.