Delay Induced Hopf Bifurcation of Small-World Networks

被引：0
|
作者：
Zhang Chen
Donghua Zhao
Jiong Ruan
机构：
[1] Shandong University,School of Mathematics and System Sciences
[2] Fudan University,School of Mathematical Sciences and Laboratory of Mathematics for Nonlinear Sciences
来源：
Chinese Annals of Mathematics, Series B | 2007年 / 28卷
关键词：
Small-world networks; Time delay; Hopf bifurcation; 34K15;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：453 / 462
页数：9
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