Published January 1, 2006
| public
Journal Article
Open
Response of discrete nonlinear systems with many degrees of freedom
- Creators
- Bromberg, Yaron
- Cross, M. C.
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Lifshitz, Ron
Chicago
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Abstract
We study the response of a large array of coupled nonlinear oscillators to parametric excitation, motivated by the growing interest in the nonlinear dynamics of microelectromechanical and nanoelectromechanical systems (MEMS and NEMS). Using a multiscale analysis, we derive an amplitude equation that captures the slow dynamics of the coupled oscillators just above the onset of parametric oscillations. The amplitude equation that we derive here from first principles exhibits a wave-number dependent bifurcation similar in character to the behavior known to exist in fluids undergoing the Faraday wave instability. We confirm this behavior numerically and make suggestions for testing it experimentally with MEMS and NEMS resonators.
Additional Information
©2006 The American Physical Society. Received 30 October 2004; published 18 January 2006. This research is supported by the U.S.-Israel Binational Science Foundation (BSF) under Grants No. 1999458 and 2004339, the National Science Foundation under Grant No. DMR-0314069, and the PHYSBIO program with funds from the EU and NATO.Files
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Additional details
- Eprint ID
- 3785
- Resolver ID
- CaltechAUTHORS:BROpre06
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2006-07-10Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field