Global bifurcations of a taut string with 1:2 internal resonance

被引：5

作者：

Zhang, Xiaohua ^{[1
,2
]}

Chen, Fangqi ^{[2
]}

Jing, Taiyan ^{[1
,2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Mech, Nanjing 210016, Jiangsu, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Taut string; Normal form; Bifurcation; Homoclinic orbit; Melnikov function; CHAOTIC DYNAMICS; ORBITS; CABLE; VIBRATION; SYSTEMS;

D O I：

10.1016/j.cnsns.2013.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global bifurcations of a taut string are investigated with the case of 1:2 internal resonance. The method of multiple scales is applied to obtain a system of autonomous ordinary differential equations. Based on the normal form theory, the desired form for the global perturbation method is obtained. Then the method developed by Kovacic and Wiggins is used to find explicit sufficient conditions for chaos to occur by identifying the existence of a Silnikov-type homoclinic orbit. Finally, numerical results obtained by using fourth-order Runge-Kutta method agree with the theoretical analysis at least qualitatively. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：776 / 788

页数：13

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