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. doi:10.1103/PhysRevB.79.165309. https://resolver.caltech.edu/CaltechAUTHORS:20090818-082507633
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png)
|
PDF
- Published Version
See Usage Policy. 343kB | |
|
PDF
- Submitted Version
See Usage Policy. 1MB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20090818-082507633
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: |
| |||||||||
| ORCID: |
| |||||||||
| 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: |
| |||||||||
| 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 | |||||||||
| DOI: | 10.1103/PhysRevB.79.165309 | |||||||||
| 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: | 08 Nov 2021 23:16 |
Repository Staff Only: item control page
