Geodesic
An accelerated method of computer calculation of a nonlinear oscillatory system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 825-830

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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. 
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     author = {V. M. Belokonov and I. V. Belokonov and Yu. M. Zabolotnov},
     title = {An accelerated method of computer calculation of a nonlinear oscillatory system},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a4/}
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V. M. Belokonov; I. V. Belokonov; Yu. M. Zabolotnov. An accelerated method of computer calculation of a nonlinear oscillatory system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 825-830. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a4/