I. A. Ilyin, D. S. Noshchenko, A. S. Perezhogin, “Dynamic of Rikitaki's system with a friction”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2013, Number 2(7),Pages <nobr>43–45</nobr>

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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2013 Number 2(7), Pages 43–45 (Mi vkam61)

MATHEMATICAL SIMULATION

Dynamic of Rikitaki's system with a friction

I. A. Ilyin^ab, D. S. Noshchenko^b, A. S. Perezhogin^ab

^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 Kamchatka state university by Vitus Bering, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia

Abstract: The paper presents the results of numerical modeling of phase trajectories of the dynamical system Rikitake. Parameters of system and initial conditions at the case of doubling cascade mode are showen.

Keywords: Rikitaki system, phase portrait.

UDC: 517.926

MSC: 34A34

Received: 09.11.2013

DOI: 10.18454/2079-6641-2013-7-2-43-45

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© Steklov Math. Inst. of RAS, 2024