Existence and bifurcation of periodic solutions of three-dimensional delay differential equations

被引：0

作者：

Bi, P ^{[1
]}

Han, MA ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 11期

基金：

中国国家自然科学基金;

关键词：

periodic solution; bifurcation; delay differential system;

D O I：

10.1142/S0218127404011703

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we develop Kaplan-Yorke's method and consider the existence of 2r/(2k + 1)periodic solutions for certain three-dimensional delay differential systems. We also study Hopf bifurcations of this kind of periodic solutions for the system with a parameter and present some application examples of our main results.

引用

页码：3921 / 3929

页数：9

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