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Pattern selection in parametrically driven arrays of nonlinear resonators

Kenig, Eyal and Lifshitz, Ron and Cross, M. C. (2009) Pattern selection in parametrically driven arrays of nonlinear resonators. Physical Review E, 79 (2). Art No. 026203. ISSN 1539-3755. https://resolver.caltech.edu/CaltechAUTHORS:KENpre09

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Abstract

We study the problem of pattern selection in an array of parametrically driven nonlinear resonators with application to microelectromechanical and nanoelectromechanical systems, using an amplitude equation recently derived by Bromberg, Cross, and Lifshitz [Phys. Rev. E 73, 016214 (2006)]. We describe the transitions between standing-wave patterns of different wave numbers as the drive amplitude is varied either quasistatically, abruptly, or as a linear ramp in time. We find interesting hysteretic effects, which are confirmed by numerical integration of the original equations of motion of the interacting nonlinear resonators.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevE.79.026203DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevE.79.026203PublisherUNSPECIFIED
Additional Information:© 2009 The American Physical Society. Received 26 August 2008; published 5 February 2009. This work was funded by the U.S.-Israel Binational Science Foundation (BSF) through Grant No. 2004339, the U.S. National Science Foundation under Grant No. DMR-0314069, and the Israeli Ministry of Science and Technology.
Funders:
Funding AgencyGrant Number
U.S.-Israel Binational Science Foundation (BSF)2004339
National Science FoundationDMR-0314069
Ministry of Science and Technology (Israel)UNSPECIFIED
Subject Keywords:hysteresis, micromechanical resonators, pattern formation, nanoelectromechanical devices
Issue or Number:2
Record Number:CaltechAUTHORS:KENpre09
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:KENpre09
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13330
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:09 Feb 2009 19:30
Last Modified:03 Oct 2019 00:36

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