Fast computer evaluation of a non-linear oscillatory system

A method is given for the fast computer evaluation of a system of ordinary differential equations, describing fast quasi-periodic motions. The initial system of equations is replaced by a transformed system, the fast integrated variables of which have increased periods of oscillation. The zero terms...

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Bibliographic Details
Published in:U.S.S.R. computational mathematics and mathematical physics 1983, Vol.23 (4), p.36-39
Main Authors: Belokonov, V.M., Belokonov, I.V., Zabolotnov, Yu.M.
Format: Article
Language:English
Online Access:Get full text
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Summary:A method is given for the fast computer evaluation of a system of ordinary differential equations, describing fast quasi-periodic motions. The initial system of equations is replaced by a transformed system, the fast integrated variables of which have increased periods of oscillation. The zero terms of the asymptotic expansions of the two systems are shown to be equal, thus ensuring exact evaluation of the variables of the initial system.
ISSN:0041-5553
DOI:10.1016/S0041-5553(83)80125-6