Chapter

Nonlinear nanoelectromechanical systems

R. Karabalin and M. L. Roukes

in Fluctuating Nonlinear Oscillators

Published in print July 2012 | ISBN: 9780199691388
Published online September 2012 | e-ISBN: 9780191742255 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199691388.003.0010
Nonlinear nanoelectromechanical systems

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The emerging field of NEMS has spawned an exceptional recent growth of activity amongst the research and engineering communities. Among the many interesting attributes of NEMS, they possess strong and easily attainable nonlinear response. This chapter reviews recent advances made with nonlinear NEMS. It begins by describing an experiment where regions of bistability — basins of attraction — of an individual resonator are elucidated. It then shows that a system of two interacting nonlinear resonators manifests even richer dynamics, including tunable nonlinearity, spontaneous amplitude modulation oscillations, and the onset of deterministic chaos. Next, it explores the phenomenon of parametric resonance with an individual NEMS resonator, which enables mechanical-domain amplification with very high and stable gain, and significant quality factor enhancement. Finally, the chapter demonstrates that a pair of parametric resonators enables a new type of amplification that is based on induced dynamical changes to the bifurcation topology of a coupled-NEMS system.

Keywords: nanoelectromechanical; nanoelectromechanical; resonators; nonlinear; parametric; bistability; hysteresis; bifurcation; chaos

Chapter.  17587 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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