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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive
Vestnik KRAUNC. Fiz.-Mat. Nauki, 2015 Number 1(10), Pages 18–24 (Mi vkam17)
This article is cited in 7 papers

MATHEMATICAL MODELING

Mathematical modeling of nonlocal oscillatory Duffing system with fractal friction

R. I. Parovikab

a Institute of Cosmophysical Researches and Radio Wave Propagation Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
b Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia

Abstract: The paper considers a nonlinear fractal oscillatory Duffing system with friction. The numerical analysis of this system by a finite-difference scheme was carried out. Phase portraits and system solutions were constructed depending on fractional parameters

Keywords: Gerasimov-Caputo operator, phase portrait, Duffing oscillator, finite-difference scheme.

UDC: 517.925.42

MSC: 37C70

Received: 13.04.2015

DOI: 10.18454/2079-6641-2015-10-1-18-24


 English version: Bulletin KRASEC. Physical and Mathematical Sciences, 2015, 10:1, 16–21

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© Steklov Math. Inst. of RAS, 2025