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

页码：830 / 836

页数：6

共 50 条

[41] On the diagnostics of regular and chaotic motion regimes in a dynamic system using the number of states function
Tukmakov, AL
TECHNICAL PHYSICS LETTERS, 2002, 28 (03) : 224 - 225
[42] Onset of chaotic motion in a gyroscopic system
S. A. Agafonov
T. V. Muratova
Mechanics of Solids, 2013, 48 : 620 - 622
[43] Chaotic motion and diffusion in a power system
Lo, KL
Zhu, TX
PROCEEDINGS OF EMPD '98 - 1998 INTERNATIONAL CONFERENCE ON ENERGY MANAGEMENT AND POWER DELIVERY, VOLS 1 AND 2 AND SUPPLEMENT, 1998, : 323 - 328
[44] Stochastic dynamic analysis of nonlinear MDOF systems with chaotic motion under combined additive and multiplicative excitation
Chen, Hanshu
Zhao, Jian
Meng, Zeng
Chen, Guohai
Yang, Dixiong
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 118
[45] Chaotic motion and diffusion in a power system
Univ of Strathclyde, Glasgow, United Kingdom
Proc Int Conf Energy Manage Power Delivery EMPD, (323-328):
[46] Onset of chaotic motion in a gyroscopic system
Agafonov, S. A.
Muratova, T. V.
MECHANICS OF SOLIDS, 2013, 48 (06) : 620 - 622
[47] Dynamic analysis of a chaotic system
Su, Kalin
OPTIK, 2015, 126 (24): : 4880 - 4886
[48] The dynamic analysis of a chaotic system
Wang, Shao Fu
Xu, Da-zhuan
ADVANCES IN MECHANICAL ENGINEERING, 2017, 9 (03):
[49] DECAY OF A CHAOTIC DYNAMIC SYSTEM
DUMONT, RS
BRUMER, P
CHEMICAL PHYSICS LETTERS, 1992, 188 (5-6) : 565 - 571
[50] Fractal character of chaotic motion of a structure with nonlinear mooring
Karr, Dale G.
Murphy, Patrick J.
Fuchs, Daniel
Proceedings of the International Offshore and Polar Engineering Conference, 1999, 3 : 590 - 595

← 1 2 3 4 5 →