We generalize a proposal for detecting single-phonon transitions in a single nanoelectromechanical system (NEMS) to include the intrinsic anharmonicity of each mechanical oscillator. In this scheme two NEMS oscillators are coupled via a term quadratic in the amplitude of oscillation for each oscillator. One NEMS oscillator is driven and strongly damped and becomes a transducer for phonon number...

A critical hurdle of a nonlinear vibration system in fractal space is the inefficiency modelling system. Specifically, differential equation models cannot elucidate effect porosity size and distribution periodic property. This paper establishes fractal-differential model for this purpose, Duffing-Van der Pol oscillator (DVdP) with two-scale derivatives forced term considered as an example to re...