Basins of attraction of a nonlinear nanomechanical resonator
Mesoscale and Nanoscale Physics
2009-11-13 v1
Abstract
We present an experiment that systematically probes the basins of attraction of two fixed points of a nonlinear nanomechanical resonator and maps them out with high resolution. We observe a separatrix which progressively alters shape for varying drive strength and changes the relative areas of the two basins of attraction. The observed separatrix is blurred due to ambient fluctuations, including residual noise in the drive system, which cause uncertainty in the preparation of an initial state close to the separatrix. We find a good agreement between the experimentally mapped and theoretically calculated basins of attraction.
Keywords
Cite
@article{arxiv.0709.2169,
title = {Basins of attraction of a nonlinear nanomechanical resonator},
author = {I. Kozinsky and H. W. Ch. Postma and O. Kogan and A. Husain and M. L. Roukes},
journal= {arXiv preprint arXiv:0709.2169},
year = {2009}
}