Resonant instability in multidimensional Lyapunov systems

被引：2
|
作者：
Kunitsyn, A. L.
机构：
来源：
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 2011年 / 75卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1016/j.jappmathmech.2012.01.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stability of a point of rest of a Lyapunov system, which describes the perturbed motion of a dynamical system with an arbitrary number of degrees of freedom, is investigated. It is assumed that the characteristic equation of the system of the first approximation has a number of imaginary roots, while the quadratic part of the integral is not sign-definite. The case of third-order resonance is considered, when the stability problem is solved by the first non-linear (quadratic) terms. (C) 2012 Elsevier Ltd. All rights reserved.
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页码：652 / 654
页数：3
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