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 …
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
The present work focuses on enhancing thermo-acoustics energy conversion performance
and nonlinear dynamics of heat-driven acoustics oscillations in standing-wave …
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) …
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
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 …
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 …
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 …
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 …
stability and duration of the synchronization process between two coupled self-sustained …
Fractional-order biological system: chaos, multistability and coexisting attractors
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 …
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 …
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 …
limit cycles Van der Pol oscillator. Both the autonomous and non-autonomous cases are …