Stochastic stability of coupled oscillators

被引：4
|
作者：
Bobryk, Roman V. [1 ,2 ]
机构：
[1] Jan Kochanowski Univ Humanities & Sci, Inst Math, PL-25406 Kielce, Poland
[2] Natl Acad Sci Ukraine, Inst APMM, UA-79060 Lvov, Ukraine
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 198卷 / 02期
关键词：
coupled oscillators; mean square stability; parametric resonance; eigenvalue problem;
D O I：
10.1016/j.amc.2007.08.056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Simple and combination resonances in coupled oscillators under a random parametric excitation are studied. An efficient numerical method for obtaining the regions of mean square stability is proposed. Based on the method, stability diagrams for different values of the excitation parameter and for four form of the coupling parameters are presented. It is found that the random excitation can have a stabilizing effect under certain conditions. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：544 / 550
页数：7
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