Geodesic
Mathematical modeling of nonlinear oscillators hereditarity example Duffing oscillator with fractional derivatives in the Riemann-Liouville
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 43-49 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper presents a mathematical model hereditarity Duffing oscillator with friction, which is a generalization of previously known classical model of Duffing oscillator. This generalization is replaced in the model equation integral derivative on derivatives of fractional order in the sense of Riemann-Liouville. Built explicit finite difference scheme for calculating approximate solutions, as well as the phase trajectories for different values of the control parameters.
Keywords: Riemann-Liouville derivative Grunwald-Letnikova, hereditarity, Duffing oscillator, phase trajectory. 
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     author = {I. V. Drobysheva},
     title = {Mathematical modeling of nonlinear oscillators hereditarity example {Duffing} oscillator with fractional derivatives in the {Riemann-Liouville}},
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I. V. Drobysheva. Mathematical modeling of nonlinear oscillators hereditarity example Duffing oscillator with fractional derivatives in the Riemann-Liouville. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 43-49. http://geodesic.mathdoc.fr/item/VKAM_2016_2_a6/

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