Response of discrete nonlinear systems with many degrees of freedom

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dc.creatorBromberg, Yaron
dc.creatorCross, M. C.
dc.creatorLifshitz, Ron
dc.date2004-10-30
dc.date2005-08-16
dc.date.accessioned2026-07-07T13:01:46Z
dc.date.available2026-07-07T13:01:46Z
dc.descriptionWe study the response of a large array of coupled nonlinear oscillators to parametric excitation, motivated by the growing interest in the nonlinear dynamics of microelectromechanical and nanoelectromechanical systems (MEMS and NEMS). Using a multiscale analysis, we derive an amplitude equation that captures the slow dynamics of the coupled oscillators just above the onset of parametric oscillations. The amplitude equation that we derive here from first principles exhibits a wavenumber dependent bifurcation similar in character to the behavior known to exist in fluids undergoing the Faraday wave instability. We confirm this behavior numerically and make suggestions for testing it experimentally with MEMS and NEMS resonators.
dc.descriptionVersion 2 is an expanded version of the article, containing detailed steps of the derivation that were left out in version 1, but no additional results
dc.identifierhttps://arxiv.org/abs/cond-mat/0411008
dc.identifierhttp://arxiv.org/abs/cond-mat/0411008
dc.identifierPhys. Rev. E 73, 016214 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.016214
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226261
dc.subjectOther Condensed Matter
dc.subjectPattern Formation and Solitons
dc.titleResponse of discrete nonlinear systems with many degrees of freedom
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