Pattern selection in parametrically-driven arrays of nonlinear resonators

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dc.creatorKenig, Eyal
dc.creatorLifshitz, Ron
dc.creatorCross, M. C.
dc.date2008-08-26
dc.date.accessioned2026-07-07T12:54:05Z
dc.date.available2026-07-07T12:54:05Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0808.3589
dc.identifierhttp://arxiv.org/abs/0808.3589
dc.identifierPhys. Rev. E 79 (2009) 026203.
dc.identifierdoi:10.1103/PhysRevE.79.026203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223809
dc.subjectPattern Formation and Solitons
dc.subjectOther Condensed Matter
dc.titlePattern selection in parametrically-driven arrays of nonlinear resonators
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