On self-excited auto-parametric systems

被引：4

作者：

Abadi ^{[1
]}

机构：

[1] Univ Utrecht, Dept Math, NL-3508 TA Utrecht, Netherlands

来源：

NONLINEAR DYNAMICS | 2001年 / 24卷 / 02期

关键词：

auto-parametric; self-excited; stability; bifurcation;

D O I：

10.1023/A:1008328100880

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We consider a Rayleigh type of self-excited auto-parametric system. We study the semi-trivial solution and its domain of instability where non-trivial solutions are initiated. We are interested in the existence and stability of the non-trivial solutions and we analyze the behaviour of the solutions by examining it for various values of some parameters. We divide the discussion on the non-trivial solution in exact resonance and near resonance cases. In the analysis we use both normal forms (or averaging) and numerical bifurcation path-following techniques. The system displays a rich pattern of different bifurcations, a robust heteroclinic cycle and instability behaviour.

引用

页码：147 / 166

页数：20

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