Nonlinear dynamics in two coupled nanoelectromechanical resonators

Author: giorgi mchedlishvili
Co-authors: L. Chotorlishvili, A. Ugulava, A. Komnik, S. Wimberger and J. Berakdar
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Nonlinear dynamics in two coupled nanoelectromechanical resonators Abstract Abstract 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 behavior 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.