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We realize parametric resonances in a nanowire mechanical system using an oscillating electric field. Resonances at drive frequencies near 2f₀/n, where f₀ is the nanowire's fundamental resonance frequency, for n from 1 to 4 were observed inside a scanning electron microscope, and analyzed. Such resonances were found to originate from the amplitude-dependent electric field force acting on the nanowire and can be described by the Mathieu equation, which has known regions of instability in the parameter space.
Yu et al. (Fri,) studied this question.