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American Physical Society, Physical review E: Statistical, nonlinear, and soft matter physics, 2(79), 2009

DOI: 10.1103/physreve.79.026203

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Pattern selection in parametrically-driven arrays of nonlinear resonators

Journal article published in 2008 by Eyal Kenig, Ron Lifshitz ORCID, M. C. Cross
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This paper is available in a repository.

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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 (MEMS & NEMS), using an amplitude equation recently derived by Bromberg, Cross, and Lifshitz [PRE 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 novel hysteretic effects, which are confirmed by numerical integration of the original equations of motion of the interacting nonlinear resonators.