Routes to extreme events in dynamical systems: Dynamical and statistical characteristics

A Mishra, S Leo Kingston, C Hens… - … Journal of Nonlinear …, 2020 - pubs.aip.org
Intermittent large amplitude events are seen in the temporal evolution of a state variable of
many dynamical systems. Such intermittent large events suddenly start appearing in …

Complex bursting dynamics of a Mathieu-van der Pol-Duffing energy harvester

X Ma, W Jiang, X Zhang, X Han, Q Bi - Physica Scripta, 2020 - iopscience.iop.org
The purpose of this paper aims to explore the mechanism of several different periodic
bursting patterns based on a Mathieu-van der Pol-Duffing energy harvester with parameter …

Periodic bursting behaviors induced by pulse-shaped explosion or non-pulse-shaped explosion in a van der Pol-Mathieu oscillator with external excitation

X Ma, W Jiang, Y Yu - … in Nonlinear Science and Numerical Simulation, 2021 - Elsevier
In this paper, we present two bursting patterns induced by pulse-shaped explosion (PSE)
and two bursting patterns triggered by non-PSE based upon a van der Pol-Mathieu oscillator …

Complex bursting dynamics in the cubic-quintic Duffing-van der Pol system with two external periodic excitations

X Ma, Q Bi, L Wang - Meccanica, 2022 - Springer
This paper investigates the complex bursting behaviors of the cubic-quintic Duffing-van der
Pol system with two slow-varying forcing periodic excitations. Four novel bursting patterns …

Chaotic bursting patterns induced by transient chaos in a smooth three-dimensional dynamic model

H Zhao, X Ma, Q Bi - International Journal of Non-Linear Mechanics, 2024 - Elsevier
This paper aims to report the transient-chaos-induced chaotic bursting oscillations in a
smooth three-dimensional dynamic model with a low-frequency excitation when an order …

Bursting dynamics triggered by the pulse-shaped explosion phenomenon in a parametrically and externally driven van der Pol–Mathieu system

X Zhang, L Chen, F Zhao, X Cui, S Wang - The European Physical Journal …, 2022 - Springer
In this paper, bursting behaviors triggered by the pulse-shaped explosion (abbreviated as
PSE) phenomenon and bifurcation structures are investigated in a parametrically and …

Correlation sum scalings from mixed-mode oscillations in weakly coupled molecular lasers

EJ Doedel, CL Pando Lambruschini - Chaos: An Interdisciplinary …, 2022 - pubs.aip.org
A model for two symmetrically coupled lasers is investigated, in which mixed-mode
oscillations arise in the absence of coupling. For small enough coupling, we show that in the …

Mitigation and suppression of rare events in weakly coupled lasers

CLP Lambruschini - Chaos, Solitons & Fractals, 2023 - Elsevier
We consider an asymmetric laser system which displays mixed-mode oscillations and
hyperchaos. This system consists of two laser oscillators which are weakly and …

Pulse-shaped explosion-induced and non-pulse-shaped explosion-induced bursting dynamics in a parametrically and externally forced Rayleigh–van der Pol …

C Zhang, Q Tang, Z Wang - Nonlinear Dynamics, 2023 - Springer
The complex bursting dynamics of an externally and parametrically forced Rayleigh–van der
Pol oscillator (abbreviated as EPFRVDPO) are studied with the help of the fast–slow …

Neuronal oscillatory patterns in coupled lasers with optical feedback

CLP Lambruschini - Chaos, Solitons & Fractals, 2024 - Elsevier
We investigate the intensity time series in a pair of mutually coupled laser oscillators, which
display some essential patterns observed in the neuronal oscillations in the brain of …