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Nonlinear dynamics and chaos in two coupled nanomechanical resonators

Karabalin, R. B. and Cross, M. C. and Roukes, M. L. (2009) Nonlinear dynamics and chaos in two coupled nanomechanical resonators. Physical Review B, 79 (16). p. 165309. ISSN 0163-1829. https://resolver.caltech.edu/CaltechAUTHORS:20090818-082507633

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Abstract

Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizing a nanomechanical system with tunable frequency and nonlinear properties. For large vibration amplitudes, the system develops spontaneous oscillations of amplitude modulation that also show period-doubling transitions and chaos. The complex nonlinear dynamics are quantitatively predicted by a simple theoretical model.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.79.165309DOIArticle
https://arxiv.org/abs/0811.0870arXivDiscussion Paper
ORCID:
AuthorORCID
Roukes, M. L.0000-0002-2916-6026
Additional Information:© 2009 The American Physical Society. Received 10 February 2009; published 13 April 2009. Many of the ideas leading to this work were developed in collaboration with Ron Lifshitz supported by the U.S.-Israel Binational Science Foundation BSF through Grant No. 2004339. We would like to thank Iwijn De Vlaminck and Gustaaf Borghs from IMEC Leuven, Belgium for providing us with the GaAs material. We thank Matt Matheny for many useful discussions.
Group:Kavli Nanoscience Institute
Funders:
Funding AgencyGrant Number
Binational Science Foundation (USA-Isreal)2004339
Subject Keywords:chaos; elasticity; micromechanical resonators; nanoelectromechanical devices; nonlinear dynamical systems; oscillations; vibrations
Issue or Number:16
Classification Code:PACS number(s): 85.85.+j, 05.45.-a, 62.25.-g
Record Number:CaltechAUTHORS:20090818-082507633
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20090818-082507633
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:15148
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:18 Aug 2009 19:57
Last Modified:03 Oct 2019 00:55

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