Parovik, Roman Ivanovich Implementation of the modified test 0-1 algorithm for the analysis of chaotic modes of the fractional Duffing oscillator. (Russian. English summary) Zbl 07823386 Vestn. KRAUNTS, Fiz.-Mat. Nauki 44, No. 3, 67-85 (2023). MSC: 34A08 34A34 PDFBibTeX XMLCite \textit{R. I. Parovik}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 44, No. 3, 67--85 (2023; Zbl 07823386) Full Text: DOI MNR
Kim, Valentin Aleksandrovich; Parovik, Roman Ivanovich Implicit finite-difference scheme for a Duffing oscillator with a derivative of variable fractional order of the Riemann-Liouville type. (Russian. English summary) Zbl 07667802 Vestn. KRAUNTS, Fiz.-Mat. Nauki 40, No. 3, 179-198 (2022). MSC: 65Nxx 26A33 34C15 PDFBibTeX XMLCite \textit{V. A. Kim} and \textit{R. I. Parovik}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 40, No. 3, 179--198 (2022; Zbl 07667802) Full Text: DOI MNR
Kim, V. A.; Parovik, R. I. Calculation the maximum Lyapunov exponent for the oscillatory system of Duffing with a degree memory. (Russian. English summary) Zbl 1408.34009 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 3(23), 98-105 (2018). MSC: 34A08 34C15 34D08 34C25 34C28 34D45 PDFBibTeX XMLCite \textit{V. A. Kim} and \textit{R. I. Parovik}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 3(23), 98--105 (2018; Zbl 1408.34009) Full Text: DOI MNR
Kim, V. A. Duffing oscillator with an external harmonic action and a variable Riemann-Liouville fractional-order derivate characterizing viscious friction. (Russian. English summary) Zbl 1413.34030 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2016, No. 2(13), 50-54 (2016). MSC: 34A08 34C15 PDFBibTeX XMLCite \textit{V. A. Kim}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2016, No. 2(13), 50--54 (2016; Zbl 1413.34030) Full Text: MNR
Drobysheva, I. V. Mathematical modeling of nonlinear hereditary oscillators on an example of a Duffing oscillator with fractional derivatives in the sense of Riemann-Liouville. (Russian. English summary) Zbl 1413.34015 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2016, No. 2(13), 43-49 (2016). MSC: 34A08 34C15 PDFBibTeX XMLCite \textit{I. V. Drobysheva}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2016, No. 2(13), 43--49 (2016; Zbl 1413.34015) Full Text: MNR
Parovik, R. I. Mathematical modeling of nonlocal oscillatory Duffing system with fractal friction. (Russian. English summary) Zbl 1424.65117 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2015, No. 1(10), 18-24 (2015). MSC: 65L12 34C28 PDFBibTeX XMLCite \textit{R. I. Parovik}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2015, No. 1(10), 18--24 (2015; Zbl 1424.65117) Full Text: MNR