Eur. Phys. J. Plus (2022) 137: 844
https://doi.org/10.1140/epjp/s13360-022-02997-w

Regular Article

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

Department of Physics, Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA Deemed University, 613 401, Thanjavur, India

^b suresh@eee.sastra.edu

Received: 22 April 2022
Accepted: 23 June 2022
Published online: 21 July 2022

Abstract

We study the dynamics of a parametrically and externally driven Rayleigh-Liénard 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.