Asymptotics for the solution of averaged equations for the system of coupled oscillators
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 99-113
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The equations obtained by averaging the system of three weakly nonlinear oscillators are considered. Distinctive properties of asymptotics at infinity for the solutions of averaged equations for both constant and variable proper frequencies are studied.
@article{FPM_2006_12_6_a6,
author = {L. A. Kalyakin and Yu. Yu. Bagderina},
title = {Asymptotics for the solution of averaged equations for the system of coupled oscillators},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {99--113},
publisher = {mathdoc},
volume = {12},
number = {6},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a6/}
}
TY - JOUR AU - L. A. Kalyakin AU - Yu. Yu. Bagderina TI - Asymptotics for the solution of averaged equations for the system of coupled oscillators JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2006 SP - 99 EP - 113 VL - 12 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a6/ LA - ru ID - FPM_2006_12_6_a6 ER -
%0 Journal Article %A L. A. Kalyakin %A Yu. Yu. Bagderina %T Asymptotics for the solution of averaged equations for the system of coupled oscillators %J Fundamentalʹnaâ i prikladnaâ matematika %D 2006 %P 99-113 %V 12 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a6/ %G ru %F FPM_2006_12_6_a6
L. A. Kalyakin; Yu. Yu. Bagderina. Asymptotics for the solution of averaged equations for the system of coupled oscillators. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 6, pp. 99-113. http://geodesic.mathdoc.fr/item/FPM_2006_12_6_a6/