Journal ArticleDOI
Chaos prediction and control in MEMS resonators
TLDR
In this paper, the chaotic dynamics of a micro mechanical resonator with electrostatic forces on both sides is investigated using the Melnikov function, an analytical criterion for homoclinic chaos in the form of an inequality is written in terms of the system parameters.About:
This article is published in Communications in Nonlinear Science and Numerical Simulation.The article was published on 2010-10-01. It has received 130 citations till now. The article focuses on the topics: Bifurcation diagram & Phase portrait.read more
Citations
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Journal ArticleDOI
Linear and nonlinear dynamics of micro and nano-resonators: Review of recent advances
Amal Z. Hajjaj,Amal Z. Hajjaj,Nizar Jaber,Nizar Jaber,Saad Ilyas,Feras K. Alfosail,Mohammad I. Younis +6 more
TL;DR: An overview is presented of the various used dynamical approaches to enhance the sensitivity of resonators for sensing applications and analytical approaches that have been developed to better understand and investigate the dynamical behavior of M/NEMS resonators on the multiple time scales.
Journal ArticleDOI
Statements on chaos control designs, including a fractional order dynamical system, applied to a “MEMS” comb-drive actuator
Angelo Marcelo Tusset,José Manoel Balthazar,Dailhane G. Bassinello,B. R. Pontes,Jorge Luis Palacios Felix +4 more
TL;DR: In this article, three control strategies are used for controlling the trajectory of the system: state dependent Riccati Equation (SDRE), optimal linear feedback control, and fuzzy sliding mode control.
Journal ArticleDOI
Homoclinic bifurcation and chaos control in MEMS resonators
M. Siewe Siewe,Usama H. Hegazy +1 more
TL;DR: In this paper, the chaotic dynamics of a micromechanical resonator with electrostatic forces on both sides are investigated using the Melnikov function, an analytical criterion for homoclinic chaos in the form of an inequality is written in terms of the system parameters.
Journal ArticleDOI
Chaos prediction in MEMS-NEMS resonators
TL;DR: In this paper, a novel method is proposed for prediction of the chaos in the micro- and nano-electro-mechanical resonators based on the proposed method, first an accurate analytical solution for the dynamics behavior of the nano-resonators is derived using the multiple scales method up to the second order.
Journal ArticleDOI
Chaos in a fractional-order micro-electro-mechanical resonator and its suppression
TL;DR: In this paper, the existence of chaos in a non-autonomous fractional-order micro-electromechanical resonator system (FOMEMRS) was investigated using the maximal Lyapunov exponent criterion.
References
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Book
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
TL;DR: In this article, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
J. Guckenheimer,P. J. Holmes +1 more
TL;DR: In this paper, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
Journal ArticleDOI
A study of the nonlinear response of a resonant micro-beam to an electric actuation
Mohammad I. Younis,A. H. Nayfeh +1 more
TL;DR: In this article, a nonlinear model is used to account for the midplane stretching, a DC electrostatic force, and an ACharmonic force in the response of a resonant microbeam to an electric actuation.
Journal ArticleDOI
Dynamic pull-in phenomenon in MEMS resonators
TL;DR: In this paper, the pull-in instability in microelectromechanical (MEMS) resonators was studied and the authors proposed a low-voltage MEMS RF switch actuated with a combined DC and AC loading, which uses a voltage much lower than the traditionally used DC voltage.
Journal ArticleDOI
Nanoelectromechanical systems face the future
TL;DR: In the late 1950s, the late physicist Richard Feynman issued a public challenge by offering $1000 to the first person to create an electrical motor "smaller than 1/64th of an inch" as mentioned in this paper.
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A study of the nonlinear response of a resonant micro-beam to an electric actuation
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