Nonlinear Dynamics and Chaos in Two Coupled Nanomechanical Resonators
Mesoscale and Nanoscale Physics
2013-05-29 v2 Chaotic Dynamics
Abstract
Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizing a nanomechanical system with tunable frequency and nonlinear properties. For large vibration amplitudes the system develops spontaneous oscillations of amplitude modulation that also show period doubling transitions and chaos. The complex nonlinear dynamics are quantitatively predicted by a simple theoretical model.
Cite
@article{arxiv.0811.0870,
title = {Nonlinear Dynamics and Chaos in Two Coupled Nanomechanical Resonators},
author = {R. B. Karabalin and M. C. Cross and M. L. Roukes},
journal= {arXiv preprint arXiv:0811.0870},
year = {2013}
}
Comments
Acknowledgment and references added. Slightly shortened to fit journal requirements