Mesoscopic physics of nanomechanical systems

A Bachtold, J Moser, MI Dykman - Reviews of Modern Physics, 2022 - APS
Nanomechanics has brought mesoscopic physics into the world of vibrations. Because
nanomechanical systems are small, fluctuations are significant, the vibrations already …

Phase reduction and phase-based optimal control for biological systems: a tutorial

B Monga, D Wilson, T Matchen, J Moehlis - Biological cybernetics, 2019 - Springer
A powerful technique for the analysis of nonlinear oscillators is the rigorous reduction to
phase models, with a single variable describing the phase of the oscillation with respect to …

[KİTAP][B] Fundamentals of nanomechanical resonators

S Schmid, LG Villanueva, ML Roukes - 2016 - Springer
Back in December 1959, future Nobel laureate Richard Feynman gave a visionary and now
oft-quoted talk entitled “There's Plenty of Room at the Bottom.” The occasion was an …

Surpassing fundamental limits of oscillators using nonlinear resonators

LG Villanueva, E Kenig, RB Karabalin, MH Matheny… - Physical review …, 2013 - APS
In its most basic form an oscillator consists of a resonator driven on resonance, through
feedback, to create a periodic signal sustained by a static energy source. The generation of …

Frequency stabilization in a pseudo-linear micromechanical parametric oscillator

Y Xu, L Wang, C Wang, J Ren, J Lv, G Shao… - International Journal of …, 2024 - Elsevier
Micromechanical oscillator sustains oscillation through a velocity-proportional feedback
force. Stabilization of the oscillation frequency is typically achieved by increasing the …

Experimental observation of noise reduction in weakly coupled nonlinear MEMS resonators

C Zhao, G Sobreviela, M Pandit, S Du… - Journal of …, 2017 - ieeexplore.ieee.org
In this paper, we present the strongly nonlinear behavior of a 2-degree-of-freedom weakly
coupled microelectromechanical systems (MEMS) resonator system in a mixed nonlinear …

Exploiting and tailoring 1: 2 internal resonance in a stepped beam micromechanical resonator for frequency stabilization

J Yu, H Cho - Sensors and Actuators A: Physical, 2023 - Elsevier
Exploiting multi-mode nonlinear behavior benefits the performance enhancement of
resonant Micro-Electro-Mechanical-Systems (MEMS). Recent developments in nonlinear …

Nonlinear nanomechanical mass spectrometry at the single-nanoparticle level

M Yuksel, E Orhan, C Yanik, AB Ari, A Demir… - Nano …, 2019 - ACS Publications
Nanoelectromechanical systems (NEMS) have emerged as a promising technology for
performing the mass spectrometry of large biomolecules and nanoparticles. As nanoscale …

Parametric noise reduction in a high-order nonlinear MEMS resonator utilizing its bifurcation points

G Sobreviela, C Zhao, M Pandit, C Do… - Journal of …, 2017 - ieeexplore.ieee.org
An electrostatically actuated non-linear microelectromechanical systems (MEMS) resonator
can describe double hysteresis behavior in the measured frequency response due to the …