Superextreme and transient dynamics in forced doubly clamped silicon flexural resonator

We investigate the occurrence of extremely large amplitude intermittent oscillations and transient dynamics in a silicon-based doubly clamped nanoelectromechanical system (NEMS) resonator driven by external periodic forcing. The system exhibits sudden, extensive amplitude variations induced by changes in the external periodic excitation. These large amplitude variations are characterized by analyzing the local maxima of the time series over an extended duration of time, up to the order of 106 normalized time units. The intermittent large amplitude oscillations satisfy the criteria for superextreme events and are further examined through their probability distribution functions. In addition, the peaks of intermittent oscillations that surpass a significant threshold are analyzed in terms of their inter-event intervals and total number of such events. Besides, the transient extreme events, arising under a different set of system parameters, are also studied, with their statistical distributions evaluated both with and without transients. Also, we included two-parameter phase diagrams to distinguish between regions associated with superextreme events and those exhibiting no such events. Further, we have also examined the effect of noise with varying control parameters. This study advances the understanding of unusual dynamical behaviors in NEMS resonators and underscores their potential relevance for future technological applications.