Hopf Bifurcation and Hidden Attractors of a Delay-Coupled Duffing Oscillator

被引：6
作者：
Zhao, Huitao [1 ]
Lin, Yiping
Dai, Yunxian
机构：
[1] Zhoukou Normal Univ, Coll Math & Stat, Zhoukou 466001, Henan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2015年 / 25卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Delay-coupled Duffing oscillator; Hopf bifurcation; hidden attractor; CHAOTIC SYSTEM; MULTISTABILITY; FLOWS; STABILITY;
D O I：
10.1142/S021812741550162X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a delay-coupled Duffing equation is studied. By the characteristic roots technique, sufficient conditions are obtained for Hopf bifurcation occurrence. And the spatio-temporal patterns of the bifurcating periodic solutions are also obtained, some examples are given to demonstrate the theoretical analysis. Especially, the obtained numerical simulation results show that there are hidden attractors in this delayed system, which can coexist with stable equilibrium or stable bifurcating orbits.
引用
收藏
页数：10
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