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Compound bursting behaviors in a forced Mathieu-van der Pol-Duffing system
X Ma, D **a, W Jiang, M Liu, Q Bi - Chaos, Solitons & Fractals, 2021 - Elsevier
The mechanism of compound bursting behaviors of a forced Mathieu-van der Pol-Duffing
system is explored. Four compound bursting types and one typical relaxation oscillation, ie …
system is explored. Four compound bursting types and one typical relaxation oscillation, ie …
Slow–Fast Behaviors and Their Mechanism in a Periodically Excited Dynamical System with Double Hopf Bifurcations
M Zhang, X Zhang, Q Bi - International Journal of Bifurcation and …, 2021 - World Scientific
This paper focuses on the influence of two scales in the frequency domain on the behaviors
of a typical dynamical system with a double Hopf bifurcation. By introducing an external …
of a typical dynamical system with a double Hopf bifurcation. By introducing an external …
Extreme bursting events via pulse-shaped explosion in mixed Rayleigh-Liénard nonlinear oscillator
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 …
model and report the emergence of extreme bursting events due to a novel pulse-shaped …
Bursting oscillations with multiple modes in a vector field with triple Hopf bifurcation at origin
J Huang, Q Bi - Journal of Sound and Vibration, 2023 - Elsevier
The mechanism of bursting oscillations in high dimensional systems with the coupling of two
scales is an open problem in nonlinear dynamics, since there may coexist stable attractors …
scales is an open problem in nonlinear dynamics, since there may coexist stable attractors …
Bursting oscillations and experimental verification of a Rucklidge system
Bursting oscillations are ubiquitous in multi-time scale systems and have attracted
widespread attention in recent years. However, research on experimental demonstration of …
widespread attention in recent years. However, research on experimental demonstration of …
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 …
bursting patterns based on a Mathieu-van der Pol-Duffing energy harvester with parameter …
[HTML][HTML] Bursting during intermittency route to thermoacoustic instability: Effects of slow–fast dynamics
Intermittency observed prior to thermoacoustic instability is characterized by the occurrence
of bursts of high-amplitude periodic oscillations (active state) amidst epochs of low …
of bursts of high-amplitude periodic oscillations (active state) amidst epochs of low …
Periodic or chaotic bursting dynamics via delayed pitchfork bifurcation in a slow-varying controlled system
Y Yu, Z Zhang, X Han - … in Nonlinear Science and Numerical Simulation, 2018 - Elsevier
In this work, we aim to demonstrate the novel routes to periodic and chaotic bursting, ie, the
different bursting dynamics via delayed pitchfork bifurcations around stable attractors, in the …
different bursting dynamics via delayed pitchfork bifurcations around stable attractors, in the …
A new route to pulse-shaped explosion and its induced bursting dynamics
M Wei, W Jiang, X Ma, X Han, Q Bi - Nonlinear Dynamics, 2021 - Springer
Abstract Pulse-shaped explosion (PSE), characterized by pulse-shaped sharp quantitative
changes in relation to the variation of system parameters, is a novel dynamical mechanism …
changes in relation to the variation of system parameters, is a novel dynamical mechanism …
Existence of self-excited and hidden attractors in the modified autonomous Van Der Pol-Duffing systems
This study investigates the multistability phenomenon and coexisting attractors in the
modified Autonomous Van der Pol-Duffing (MAVPD) system and its fractional-order form …
modified Autonomous Van der Pol-Duffing (MAVPD) system and its fractional-order form …