Response of parametrically-driven nonlinear coupled oscillators with application to micro- and nanomechanical resonator arrays

Details Response of parametrically-driven nonlinear coupled oscillators with application to micro- and nanomechanical resonator arrays Response of parametrically-driven nonlinear coupled oscillators with application to micro- and nanomechanical resonator arrays

2002-08-20

arxiv.org/abs/cond-mat/0208394v1

Phys. Rev. B 67, 134302 (2003).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

27 pages (in preprint format), 8 figures

Scientific paper

10.1103/PhysRevB.67.134302

The response of a coupled array of nonlinear oscillators to parametric excitation is calculated in the weak nonlinear limit using secular perturbation theory. Exact results for small arrays of oscillators are used to guide the analysis of the numerical integration of the model equations of motion for large arrays. The results provide a qualitative explanation for a recent experiment [Buks and Roukes, cond-mat/0008211, to appear in J. MEMS (2002)] involving a parametrically-excited micromechanical resonator array. Future experiments are suggested that could provide quantitative tests of the theoretical predictions.

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