Delay induced Hopf bifurcation of small-world networks

被引：5

作者：

Chen, Zhang ^{[1
]}

Zhao, Donghua

Ruan, Jiong

机构：

[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Fudan Univ, Lab Math & Nonlinear Sci, Shanghai 200433, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2007年 / 28卷 / 04期

关键词：

small-world networks; time delay; Hopf bifurcation;

D O I：

10.1007/s11401-005-0300-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the stability and the Hopf bifurcation of small-world networks with time delay are studied. By analyzing the change of delay, we obtain several sufficient conditions on stable and unstable properties. When the delay passes a critical value, a Hopf bifurcation may appear. Furthermore, the direction and the stability of bifurcating periodic solutions are investigated by the normal form theory and the center manifold reduction. At last, by numerical simulations, we further illustrate the effectiveness of theorems in this paper.

引用

页码：453 / 462

页数：10

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