The study on the chaotic motion of a nonlinear dynamic system

被引：0
|
作者：
Qiang H. [1 ]
Shanyuan Z. [2 ]
Guitong Y. [2 ]
机构：
[1] Department of Mechanics, College of Traffic and Communications, South China University of Technology
[2] Taiyuan University of Technology
来源：
Applied Mathematics and Mechanics | 1999年 / 20卷 / 8期
基金：
中国国家自然科学基金;
关键词：
Chaos; Melnikov method; Phase portrait; Poincaré; map; Time-displacement diagram;
D O I：
10.1007/BF02452482
中图分类号：
学科分类号：
摘要：
In this paper, the system of the forced vibration T̈ - λ1 T + λ2T2 + λ3T3 = ε(gcosωt - ε′Ṫ) is discussed, which contains square and cubic items. The critical condition that the system enters chaotic states is given by the Melnikov method. By Poincaré map, phase portrait and time-displacement history diagram, whether the chaos occurs is determined.
引用
收藏
页码：830 / 836
页数：6
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