Response of parametrically driven nonlinear coupled oscillators with application to micromechanical and nanomechanical resonator arrays
作者： Ron Lifshitz , M. C. Cross
DOI: 10.1103/PHYSREVB.67.134302
关键词: Perturbation theory 、 Classical mechanics 、 Resonator 、 Excited state 、 Excitation 、 Numerical integration 、 Parametric statistics 、 Equations of motion 、 Nonlinear system 、 Physics
摘要: The response of a coupled array nonlinear oscillators to parametric excitation is calculated in the weak limit using secular perturbation theory. Exact results for small arrays are used guide analysis numerical integration model equations motion large arrays. provide qualitative explanation recent experiment [Buks and Roukes, J. Microelectromech. Syst. 11, 802 (2002)] involving parametrically excited micromechanical resonator array. Future experiments suggested which could quantitative tests theoretical predictions.
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