Linear and nonlinear dynamics of micro and nano-resonators: Review of recent advances
Micro and nanoelectromechanical systems M/NEMS have been extensively investigated
and exploited in the past few decades for various applications and for probing fundamental …
and exploited in the past few decades for various applications and for probing fundamental …
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 …
Energy harvesting in a Mathieu–van der Pol–Duffing MEMS device using time delay
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 …
nonlinear MEMS device consisting of a delayed Mathieu–van der Pol–Duffing type oscillator …
Parametric symmetry breaking in a nonlinear resonator
Much of the physical world around us can be described in terms of harmonic oscillators in
thermodynamic equilibrium. At the same time, the far-from-equilibrium behavior of oscillators …
thermodynamic equilibrium. At the same time, the far-from-equilibrium behavior of oscillators …
An incremental harmonic balance method with two time-scales for quasi-periodic responses of a Van der Pol–Mathieu equation
JL Huang, T Wang, WD Zhu - International Journal of Non-linear Mechanics, 2021 - Elsevier
An incremental harmonic balance (IHB) method with two time-scales is presented and used
for calculating accurate quasi-periodic responses of a one-degree-of-freedom Van der Pol …
for calculating accurate quasi-periodic responses of a one-degree-of-freedom Van der Pol …
On an electrodynamic origin of quantum fluctuations
ÁG López - Nonlinear Dynamics, 2020 - Springer
We use the Liénard–Wiechert potential to show that very violent fluctuations are
experienced by an electromagnetic charged extended particle when it is perturbed from its …
experienced by an electromagnetic charged extended particle when it is perturbed from its …
A neural network approach for the solution of Van der Pol-Mathieu-Duffing oscillator model
The concept of oscillator problems finds its indispensable presence in numerous dynamical
systems. Machine learning techniques for handling dynamical systems is a challenging and …
systems. Machine learning techniques for handling dynamical systems is a challenging and …
Resonances of a forced Mathieu equation with reference to wind turbine blades
V Ramakrishnan, BF Feeny - 2012 - asmedigitalcollection.asme.org
A horizontal axis wind turbine blade in steady rotation endures cyclic transverse loading due
to wind shear, tower shadowing and gravity, and a cyclic gravitational axial loading at the …
to wind shear, tower shadowing and gravity, and a cyclic gravitational axial loading at the …
Master-slave locking of optomechanical oscillators over a long distance
Frequency locking and other phenomena emerging from nonlinear interactions between
mechanical oscillators are of scientific and technological importance. However, existing …
mechanical oscillators are of scientific and technological importance. However, existing …
Synchronization in an optomechanical cavity
We study self-excited oscillations (SEO) in an on-fiber optomechanical cavity.
Synchronization is observed when the optical power that is injected into the cavity is …
Synchronization is observed when the optical power that is injected into the cavity is …