The autoresonance threshold in a~system of weakly coupled oscillators
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 2, pp. 43-54
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A system of two weakly coupled oscillators is investigated. It is shown that under an external periodic perturbation a capture into resonance may occur. A description of this effect by the methods of asymptotic analysis, as well as a numerical simulation, is presented. An explicit formula for the threshold value of the perturbation amplitude at which the resonance occurs is obtained.
@article{TIMM_2007_13_2_a3,
author = {S. G. Glebov and O. M. Kiselev and V. A. Lazarev},
title = {The autoresonance threshold in a~system of weakly coupled oscillators},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {43--54},
publisher = {mathdoc},
volume = {13},
number = {2},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a3/}
}
TY - JOUR AU - S. G. Glebov AU - O. M. Kiselev AU - V. A. Lazarev TI - The autoresonance threshold in a~system of weakly coupled oscillators JO - Trudy Instituta matematiki i mehaniki PY - 2007 SP - 43 EP - 54 VL - 13 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a3/ LA - ru ID - TIMM_2007_13_2_a3 ER -
%0 Journal Article %A S. G. Glebov %A O. M. Kiselev %A V. A. Lazarev %T The autoresonance threshold in a~system of weakly coupled oscillators %J Trudy Instituta matematiki i mehaniki %D 2007 %P 43-54 %V 13 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a3/ %G ru %F TIMM_2007_13_2_a3
S. G. Glebov; O. M. Kiselev; V. A. Lazarev. The autoresonance threshold in a~system of weakly coupled oscillators. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 2, pp. 43-54. http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a3/