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

Ron Lifshitz, M. C. Cross
2003 Physical Review B (Condensed Matter)  
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
more » ... l resonator array. Future experiments are suggested that could provide quantitative tests of the theoretical predictions.
doi:10.1103/physrevb.67.134302 fatcat:p6up3uyyyzfilgp3xhoqjqvlcq