Energy harvesting in a Mathieu–van der Pol–Duffing MEMS device using time delay

M Belhaq, Z Ghouli, M Hamdi - Nonlinear Dynamics, 2018 - Springer
This paper investigates quasi-periodic vibration-based energy harvesting in a delayed
nonlinear MEMS device consisting of a delayed Mathieu–van der Pol–Duffing type oscillator …

Vibration control for the nonlinear resonant response of a piezoelectric elastic beam via time-delayed feedback

J Peng, G Zhang, M Xiang, H Sun… - Smart Materials and …, 2019 - iopscience.iop.org
The paper presents time-delayed feedback control to reduce the nonlinear resonant
vibration of a piezoelectric elastic beam. Specifically, we examine three single-input linear …

Quasiperiodic energy harvesting in a forced and delayed Duffing harvester device

Z Ghouli, M Hamdi, F Lakrad, M Belhaq - Journal of Sound and Vibration, 2017 - Elsevier
This paper studies quasiperiodic vibration-based energy harvesting in a forced nonlinear
harvester device in which time delay is inherently present. The harvester consists of a …

Energy harvesting from quasi-periodic vibrations

M Belhaq, M Hamdi - Nonlinear Dynamics, 2016 - Springer
Abstract Quasi-periodic (QP) vibration-based energy harvesting is studied in this paper. The
energy harvesting system consists in a delayed van der Pol oscillator with time-varying …

Energy harvesting in a delay-induced parametric van der Pol–Duffing oscillator

Z Ghouli, M Belhaq - The European Physical Journal Special Topics, 2021 - Springer
Quasi-periodic vibration-based energy harvesting is investigated in a delayed van der Pol–
Duffing oscillator coupled to a delayed piezoelectric mechanism. It is assumed that the time …

A new way to compute the Lyapunov characteristic exponents for non-smooth and discontinues dynamical systems

ME Semenov, SV Borzunov, PA Meleshenko - Nonlinear Dynamics, 2022 - Springer
One of the most important problems of nonlinear dynamics is related to the development of
methods concerning the identification of the dynamical modes of the corresponding systems …

Energy harvesting from quasi-periodic vibrations using electromagnetic coupling with delay

Z Ghouli, M Hamdi, M Belhaq - Nonlinear Dynamics, 2017 - Springer
In this paper, we study quasi-periodic vibrational energy harvesting in a delayed self-excited
oscillator with a delayed electromagnetic coupling. The energy harvester system consists in …

Amplitude modulation control method for bursting dynamics under time-delayed feedback

Y Yu, N Wang, Z Chen - Journal of Vibration and Control, 2022 - journals.sagepub.com
Time-delayed feedback control is one of the important active control methods for complex
dynamical behaviors in nonlinear systems. Yet its relationship and effectiveness on multiple …

Time-delayed feedback control of piezoelectric elastic beams under superharmonic and subharmonic excitations

J Peng, M Xiang, L Li, H Sun, X Wang - Applied Sciences, 2019 - mdpi.com
The time-delayed displacement feedback control is provided to restrain the superharmonic
and subharmonic response of the elastic support beams. The nonlinear equations of the …

Qualitative analysis in a delayed Van der Pol oscillator

M Peng, Z Zhang, Z Qu, Q Bi - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
The main purpose of this manuscript is to introduce and compare two methods for
discussing the nature of Hopf bifurcation, namely, a research method combining the normal …