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Nonlinear dynamics of two coupled nano-electromechanical resonators

Journal of Physics B: Atomic, Molecular and Optical Physics, ISSN: 0953-4075, Vol: 44, Issue: 21
2011
  • 17
    Citations
  • 0
    Usage
  • 12
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    17
    • Citation Indexes
      17
  • Captures
    12

Article Description

As a model of coupled nano-electromechanical resonators we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillation amplitudes as a function of the driving frequency and for the energy transfer rate between the two oscillators. The nonlinear restoring forces induce the expected nonlinear resonance structures in the amplitude-frequency characteristics with asymmetric resonance peaks. The corresponding multistable behaviour is shown to be an efficient tool to control the energy transfer arising from the sensitive response to small changes in the driving frequency. It is shown that the energy transfer rate between the nano-electromechanical resonators can be controlled by tuning the driving field frequency. In addition, our results imply that the nonlinear response can be exploited to design precise sensors for mass or force detection experiments based on nano-electromechanical resonators. © 2011 IOP Publishing Ltd.

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