Geodesic
Investigation of forced oscillations
News of the Kabardin-Balkar scientific center of RAS, no. 1 (2020), pp. 46-56

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A mathematical model of a Duffing type oscillator with a variable fractional derivative of the Riemann-Liouville derivative is studied. Using the harmonic balance method, algorithms for constructing amplitude-phase characteristics were found. The amplitude-frequency and phase-frequency characteristics were built. The inverse dependence of the Q factor on the order of the fractional derivative is shown. The Q-factor surfaces are constructed depending on the frequency and amplitude.
Keywords: Riemann-Liouville derivative, Grunwald-Letnikov derivative, oscillograms, phase trajectories, amplitude-frequency characteristic (AFC), phase-frequency characteristic (PFC). 
@article{IZKAB_2020_1_a2,
     author = {V. A. Kim and R. I. Parovik},
     title = {Investigation of forced oscillations},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {46--56},
     publisher = {mathdoc},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2020_1_a2/}
}
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V. A. Kim; R. I. Parovik. Investigation of forced oscillations. News of the Kabardin-Balkar scientific center of RAS, no. 1 (2020), pp. 46-56. http://geodesic.mathdoc.fr/item/IZKAB_2020_1_a2/