Chaotic dynamics in Duffing system with two external forcings

被引：0
|
作者：
Zhang, Shuguang [1 ]
Zhu, Zhiyong [2 ]
Guo, Zhi [3 ]
机构：
[1] Jiaozuo Teachers Coll, Dept Math, Jiaozuo 454000, Henan, Peoples R China
[2] Changsha Univ, Dept Comp Sci & Technol, Changsha 410003, Hunan, Peoples R China
[3] Hunan Inst Engn, Dept Math & Phys, Xiangtan 411104, Hunan, Peoples R China
来源：
OPTICAL, ELECTRONIC MATERIALS AND APPLICATIONS, PTS 1-2 | 2011年 / 216卷
关键词：
Duffing system; Melnikov's method; chaos; OSCILLATOR;
D O I：
10.4028/www.scientific.net/AMR.216.777
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Duffing system with two external forcing terms is investigated in detail. The criterion of existence of chaos under the periodic perturbation is given by using Melnikov's method. Numerical simulations including heteroclinic and homoclinic bifurcation surfaces, bifurcation diagrams, maximum lyapunov exponents and Poincare map are given to illustrate the theoretical analysis.
引用
收藏
页码：777 / +
页数：2
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