MATHEMATICAL MODELING OF NONLINEAR OSCILLATORS HEREDITARITY EXAMPLE DUFFING OSCILLATOR WITH FRACTIONAL DERIVATIVES IN THE RIEMANN-LIOUVILLE
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2016, Vol 2, Issue
Abstract
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.
Authors and Affiliations
Irina Drobysheva
Keywords
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- EP ID EP486515
- DOI 10.18454/2079-6641-2016-13-2-43-49
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