Analysis of Forced Oscillations of a Fractional Oscillator
А. В. ПсхуInstitute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center, Russian Academy of Sciences, Nalchik, 360000, RussiaС. Ш. РехвиашвилиInstitute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center, Russian Academy of Sciences, Nalchik, 360000, Russia
2018en
ABI
Abstract
A model of forced oscillations of an oscillator based on the fractional integro-differential formalism has been considered. It is shown that this model is in good agreement with the classical model of forced oscillations of an oscillator with viscous damping. The parameters of the frequency dependence of stationary oscillations of a fractional oscillator are calculated, and the relationship between the order of fractional derivative in the differential equation of oscillations and the Q factor of the system is determined.
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