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Frequency stabilization in nonlinear micromechanical oscillators.

TLDR
It is demonstrated that, by coupling two different vibrational modes through an internal resonance, it is possible to stabilize the oscillation frequency of nonlinear self-sustaining micromechanical resonators.
Abstract
Fil: Antonio, Dario. Argonne National Laboratory. Center for Nanoscale Materials; Estados Unidos. Consejo Nacional de Investigaciones Cientificas y Tecnicas; Argentina

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Nonlinear system identification in structural dynamics: 10 more years of progress

TL;DR: In this paper, the authors present a survey of the key developments which arose in the field since 2006, and illustrate state-of-the-art techniques using a real-world satellite structure.
Journal ArticleDOI

Phase Synchronization of Two Anharmonic Nanomechanical Oscillators

TL;DR: This work establishes that oscillator networks constructed from nanomechanical resonators form an ideal laboratory to study synchronization--given their high-quality factors, small footprint, and ease of cointegration with modern electronic signal processing technologies.
Journal ArticleDOI

Foundations of Nanomechanics: From Solid-State Theory to Device Applications

Jacqueline Krim
- 01 May 2004 - 
TL;DR: In this article, the Dirac Delta Function has been used to model the relationship between stress and strain in two-dimensional lattices and elasticity relations in a three-dimensional manifold.
Journal ArticleDOI

Surpassing Fundamental Limits of Oscillators Using Nonlinear Resonators

TL;DR: It is shown that by operating the oscillator at special points in the resonator's anharmonic regime the authors can overcome fundamental limitations of oscillator performance due to thermodynamic noise as well as practical limitations due to noise from the sustaining circuit.
Journal ArticleDOI

Energy-dependent path of dissipation in nanomechanical resonators

TL;DR: New possibilities to manipulate vibrational states, engineer hybrid states with mechanical modes at completely different frequencies, and to study the collective motion of this highly tunable system are opened up.
References
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Book

Theory of elasticity

TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book

Synchronization: A Universal Concept in Nonlinear Sciences

TL;DR: This work discusseschronization of complex dynamics by external forces, which involves synchronization of self-sustained oscillators and their phase, and its applications in oscillatory media and complex systems.
Book

Theory of elasticity

TL;DR: The equilibrium of rods and plates Elastic waves Dislocations Thermal conduction and viscosity in solids Mechanics of liquid crystals Index as discussed by the authors The equilibrium of rod and plate elastic waves Elastic waves
Journal ArticleDOI

Single spin detection by magnetic resonance force microscopy

TL;DR: The long relaxation time of the measured signal suggests that the state of an individual spin can be monitored for extended periods of time, even while subjected to a complex set of manipulations that are part of the MRFM measurement protocol.
Journal Article

Single spin detection by magnetic resonance force microscopy

TL;DR: In this article, the authors reported the detection of an individual electron spin by magnetic resonance force microscopy (MRFM) and achieved a spatial resolution of 25nm in one dimension for an unpaired spin in silicon dioxide.
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