@article{3c20fc7b0fa9429183883e59685251ec,
title = "Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance",
abstract = "The dynamic response of a nonlinear resonator in the presence of resonant mode coupling is studied experimentally and theoretically. For the case of a clamped-clamped beam resonator in the presence of a 1:3 internal resonance, we show that at the onset of internal resonance, steady state oscillations cannot be sustained. At higher drive levels, stable oscillations can be maintained but the resonator amplitude undergoes amplitude modulated responses. We use these dynamic responses to build a bifurcation diagram that can be described remarkably well with a simple model consisting of a Duffing resonator coupled to a linear one.",
author = "Czaplewski, {David A.} and Scott Strachan and Oriel Shoshani and Shaw, {Steven W.} and Daniel L{\'o}pez",
note = "Funding Information: The authors would like to acknowledge Mark Dykman for helpful discussion regarding both the theoretical and experimental results. This work was performed, in part, at the Center for Nanoscale Materials, a U.S. Department of Energy Office of Science User Facility, and supported by the U.S. Department of Energy, Office of Science, under Contract No. DE-AC02-06CH11357. O.S. acknowledges partial support from the Ben-Gurion University of the Negev. S.W.S. acknowledges support for this work from the U.S. National Science Foundation under Grant Nos. CMMI-1662619 and CMMI-1561829. Publisher Copyright: {\textcopyright} 2019 Author(s).",
year = "2019",
month = jun,
day = "24",
doi = "10.1063/1.5099459",
language = "English (US)",
volume = "114",
journal = "Applied Physics Letters",
issn = "0003-6951",
publisher = "American Institute of Physics Publising LLC",
number = "25",
}