Reversal of period doubling, multistability and symmetry breaking aspects for a system composed of a van der pol oscillator coupled to a duffing oscillator

J Ramadoss, J Kengne, ST Tanekou… - Chaos, Solitons & …, 2022 - Elsevier
Owing to recently published works, the issues of multistability and symmetry breaking can be
listed amongst the most followed ongoing research topics in nonlinear science. In this …

[HTML][HTML] Enhancing energy conversion performances in standing-wave thermoacoustic engine with externally forcing periodic oscillations

L Guo, D Zhao, L Cheng, X Dong, J Xu - Energy, 2024 - Elsevier
The present work focuses on enhancing thermo-acoustics energy conversion performance
and nonlinear dynamics of heat-driven acoustics oscillations in standing-wave …

Multistability and rare attractors in van der Pol–Duffing oscillator

A Chudzik, P Perlikowski, A Stefanski… - International Journal of …, 2011 - World Scientific
We discuss the mechanism leading to the multistability in the externally excited van der Pol–
Duffing oscillator. It has been shown that the mechanism (the sequence of bifurcations) …

Forced synchronization of periodic and aperiodic thermoacoustic oscillations: lock-in, bifurcations and open-loop control

K Kashinath, LKB Li, MP Juniper - Journal of Fluid Mechanics, 2018 - cambridge.org
Synchronization is a universal concept in nonlinear science but has received little attention
in thermoacoustics. In this numerical study, we take a dynamical systems approach to …

Chaotic dynamics in a neural network under electromagnetic radiation

X Hu, C Liu, L Liu, J Ni, Y Yao - Nonlinear Dynamics, 2018 - Springer
In this paper, a small Hopfield neural network with three neurons is studied, in which one of
the three neurons is considered to be exposed to electromagnetic radiation. The effect of …

Chaos for a microelectromechanical oscillator governed by the nonlinear Mathieu equation

BE DeMartini, HE Butterfield, J Moehlis… - Journal of …, 2007 - ieeexplore.ieee.org
A variety of microelectromechanical (MEM) oscillators is governed by a version of the
Mathieu equation that harbors both linear and cubic nonlinear time-varying stiffness terms …

Dynamics and synchronization of coupled self-sustained electromechanical devices

R Yamapi, P Woafo - Journal of Sound and Vibration, 2005 - Elsevier
The dynamics and synchronization of two coupled self-excited devices are considered. The
stability and duration of the synchronization process between two coupled self-sustained …

Fractional-order biological system: chaos, multistability and coexisting attractors

N Debbouche, A Ouannas, S Momani… - The European Physical …, 2021 - Springer
In this paper, the nonlinear dynamics of the biological system modeled by the fractional
incommensurate order Van der Pol equations are investigated. The stability of the proposed …

Bursting, mixed-mode oscillations and homoclinic bifurcation in a parametrically and self-excited mixed Rayleigh–Liénard oscillator with asymmetric double well …

YJF Kpomahou, JA Adéchinan, AM Ngounou… - Pramana, 2022 - Springer
This paper deals with the existence of bursting, mixed-mode oscillations (MMOs) and
horseshoe chaos in a mixed Rayleigh–Liénard oscillator with asymmetric double well …

Nonlinear dynamics and strange attractors in the biological system

HGE Kadji, JBC Orou, R Yamapi, P Woafo - Chaos, Solitons & Fractals, 2007 - Elsevier
This paper deals with the nonlinear dynamics of the biological system modeled by the multi-
limit cycles Van der Pol oscillator. Both the autonomous and non-autonomous cases are …