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Building better oscillators using nonlinear dynamics and pattern formation

Cross, M. C. and Kenig, Eyal and Allen, John-Mark A. (2015) Building better oscillators using nonlinear dynamics and pattern formation. Pramana, 84 (3). pp. 455-471. ISSN 0304-4289. https://resolver.caltech.edu/CaltechAUTHORS:20150410-095602837

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Abstract

Frequency and time references play an essential role in modern technology and in living systems. The precision of self-sustained oscillations is limited by the effects of noise, which becomes evermore important as the sizes of the devices become smaller. In this paper, we review our recent theoretical results on using nonlinear dynamics and pattern formation to reduce the effects of noise and improve the frequency precision of oscillators, with particular reference to ongoing experiments on oscillators based on nanomechanical resonators. We discuss using resonator nonlinearity, novel oscillator architectures and the synchronization of arrays of oscillators, to improve the frequency precision.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s12043-014-0924-1 DOIArticle
http://link.springer.com/article/10.1007%2Fs12043-014-0924-1PublisherArticle
http://rdcu.be/ttdQPublisherFree ReadCube access
Additional Information:© 2015 Indian Academy of Sciences. ePublication: 18 February 2015. This work would not have been possible without the close collaboration with the Caltech nanomechanical experimental group and the authors acknowledge in particular the important contributions of Michael Roukes, Rassul Karabalin, Matt Matheny and Guillermo Villanueva. Ron Lifshitz, Jeff Moehlis and Kurt Wiesenfeld also contributed to the theoretical ideas. The material is based upon work supported by the National Science Foundation under Grant No. DMR-1003337 and DARPA through the DEFYS programme. JMAA was supported by the Master and Fellows of Corpus Christi College and the California Institute of Technology.
Funders:
Funding AgencyGrant Number
NSFDMR-1003337
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Corpus Christi CollegeUNSPECIFIED
CaltechUNSPECIFIED
Subject Keywords:Oscillator; clock; nonlinear; noise; nanomechanics; synchronization
Issue or Number:3
Classification Code:PACS: 05.45.−a; 85.85.+j; 62.25.−g; 47.52.+j
Record Number:CaltechAUTHORS:20150410-095602837
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150410-095602837
Official Citation:CROSS, M.C., KENIG, E. & ALLEN, JM.A. Pramana - J Phys (2015) 84: 455. doi:10.1007/s12043-014-0924-1
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:56570
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:10 Apr 2015 17:27
Last Modified:03 Oct 2019 08:15

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