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

Lifshitz, Ron and Cross, M. C. (2003) Response of parametrically driven nonlinear coupled oscillators with application to micromechanical and nanomechanical resonator arrays. Physical Review B, 67 (13). Art. No. 134302. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:LIFprb03

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Abstract

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, J. Microelectromech. Syst. 11, 802 (2002)] involving a parametrically excited micromechanical resonator array. Future experiments are suggested which could provide quantitative tests of the theoretical predictions.


Item Type:Article
Additional Information:©2003 The American Physical Society. Received 21 August 2002; published 10 April 2003. This work was supported by Grant No. 1999458 from the U.S.-Israel Binational Science Foundation (BSF), and NSF Grant No. DMR-9873573. We thank Eyal Buks, Michael Roukes, and Inna Kozinsky for many useful discussions and for sharing their experimental results prior to publication.
Subject Keywords:micromechanical resonators; nanotechnology; parametric oscillators; arrays; perturbation theory; integration
Record Number:CaltechAUTHORS:LIFprb03
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:LIFprb03
Alternative URL:http://dx.doi.org/10.1103/PhysRevB.67.134302
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3885
Collection:CaltechAUTHORS
Deposited By: Lindsay Cleary
Deposited On:18 Jul 2006
Last Modified:26 Dec 2012 08:56

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