The autoresonance threshold in a system of weakly coupled oscillators

被引：0
|
作者：
Glebov S.G. [1 ]
Kiselev O.M. [2 ]
Lazarev V.A. [1 ]
机构：
[1] Ufa State Petroleum Technical University, Ufa 450062
[2] Institute of Mathematics with Computing Centre, Ufa 450077
来源：
Proceedings of the Steklov Institute of Mathematics | 2007年 / 259卷 / Suppl 2期
基金：
俄罗斯基础研究基金会;
关键词：
STEKLOV Institute; Asymptotic Solution; Fundamental Matrix; Couple Oscillator; Perturbation Amplitude;
D O I：
10.1134/S0081543807060077
中图分类号：
学科分类号：
摘要：
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. © 2007 Pleiades Publishing, Ltd.
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收藏
页码：S111 / S123
页数：12
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