5 citations · 11 across the 7 of their papers we have counts for
7 papers
Spatiotemporal Chaos with Extended Spatial Interactions
A. Raj, M. R. Paul
The chaotic dynamics of a large one-dimensional lattice of nonlinear maps with a spatial coupling of increasing extent is explored using the covariant Lyapunov vectors (CLVs). A th…
Statistical Properties of a Fluctuation-Driven Nanomechanical Duffing Resonator
Monan Ma, Nathan Welles, Johnathon Barbish +5
We investigate the fluctuating nonlinear dynamics of multiple modes of a nanomechanical doubly clamped beam resonator. Each mode is driven by Gaussian force noise centered around t…
Theoretical modeling of the dynamic range of an elastic nanobeam under tension with a geometric nonlinearity
N. W. Welles, M. Ma, K. L. Ekinci +1
A theoretical description of the weakly nonlinear and mode-dependent dynamics of a nanoscale beam that is under intrinsic tension is developed. A full analysis of the dynamic range…
Computing the multimodal stochastic dynamics of a nanobeam in a viscous fluid
J. Barbish, M. R. Paul
The stochastic dynamics of small elastic objects in fluid are central to many important and emerging technologies. It is now possible to measure and use the higher modes of motion…
Exploring the role of diffusive coupling in spatiotemporal chaos
A. Raj, M. R. Paul
We explore the chaotic dynamics of a large one-dimensional lattice of coupled maps with diffusive coupling of varying strength using the covariant Lyapunov vectors (CLVs). Using a…
Mode-Dependent Scaling of Nonlinearity and Linear Dynamic Range in a NEMS Resonator
M. Ma, N. Welles, O. Svitelskiy +5
Even a relatively weak drive force is enough to push a typical nanomechanical resonator into the nonlinear regime. Consequently, nonlinearities are widespread in nanomechanics and…
Multi-mode Brownian Dynamics of a Nanomechanical Resonator in a Viscous Fluid
H. Gress, J. Barbish, C. Yanik +7
Brownian motion imposes a hard limit on the overall precision of a nanomechanical measurement. Here, we present a combined experimental and theoretical study of the Brownian dynami…