Abstract
In this work, nonlinear dynamics of silicon nanowire resonator considering nonlocal effect has been investigated. For the first time, dynamical parameters (e.g., resonant frequency, Duffing coefficient, and the damping ratio) that directly influence the nonlinear dynamics of the nanostructure have been derived. Subsequently, by calculating their response with the varied nonlocal coefficient, it is unveiled that the nonlocal effect makes more obvious impacts at the starting range (from zero to a small value), while the impact of nonlocal effect becomes weaker when the nonlocal term reaches to a certain threshold value. Furthermore, to characterize the role played by nonlocal effect in exerting influence on nonlinear behaviors such as bifurcation and chaos (typical phenomena in nonlinear dynamics of nanoscale devices), we have calculated the Lyapunov exponents and bifurcation diagram with and without nonlocal effect, and results shows the nonlocal effect causes the most significant effect as the device is at resonance. This work advances the development of nanowire resonators that are working beyond linear regime.
Highlights
Nanoscale resonators working at certain parameters exhibit rich nonlinear dynamics such as chaos and bifurcation [1,2,3,4]
To thoroughly investigate the nonlinear dynamics in such nanostructures considering various effects that are brought by reducing the size of the device and/or choosing different fabrication materials is crucial for developing real applications [5,6,7,8,9]
Essentially originated from device’s size-reducing, is usually taken into account when studying nanoscale structures in which lattice node interaction is affected by its surrounding nodes, and from the nodes neighboring to the surrounding nodes [10, 11]
Summary
Nanoscale resonators working at certain parameters exhibit rich nonlinear dynamics such as chaos and bifurcation [1,2,3,4]. Essentially originated from device’s size-reducing, is usually taken into account when studying nanoscale structures in which lattice node interaction is affected by its surrounding nodes, and from the nodes neighboring to the surrounding nodes [10, 11]. This effect has been proved to be playing an important role in nanoscale structures with respect to dynamical response, taking pulling-in as an example [12, 13].
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