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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2017 Number 2(18), Pages 65–75 (Mi vkam200)

This article is cited in 2 papers

MATHEMATICAL MODELING

Van der Pol–Duffing oscillator with the effect of hereditary

E. R. Novikovà

Vitus Bering Kamchatka State University

Abstract: The paper presents a new mathematical model of the van der Pol oscillator, Duffing with external periodic influence given hereditarity. An algorithm for finding the numerical solution of the original model equation, which is based on the finite-difference scheme. A computer program implementing this algorithm. With this program built waveform and the phase trajectories for hereditarity oscillator Van der Pol–Duffing.

Keywords: Van der Pol–Duffing oscillator, hereditarity, finite-difference scheme, phase trajectories, waveform.

UDC: 517.938

MSC: 37N30

Received: 20.05.2017

DOI: 10.18454/2079-6641-2017-18-2-65-75



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