Bifurcation of periodic solutions of delay differential equation with two delays

被引：6

作者：

Bi, P ^{[1
]}

Han, M ^{[1
]}

Wu, YH ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 284卷 / 02期

基金：

中国国家自然科学基金;

关键词：

periodic solution; delay; bifurcation;

D O I：

10.1016/S0022-247X(03)00353-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop Kaplan-Yorke's method and consider the existence of periodic solutions for delay differential equations with two delays. Especially, we study Hopf and saddle-node bifurcations of periodic solutions for the equation with parameters, and give conditions under which the bifurcations occur. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：548 / 563

页数：16

共 50 条

[1] Bifurcation of periodic solutions with large periods for a delay differential equation
Walther, Hans-Otto
ANNALI DI MATEMATICA PURA ED APPLICATA, 2006, 185 (04) : 577 - 611
[2] Bifurcation of periodic solutions with large periods for a delay differential equation
Hans-Otto Walther
Annali di Matematica Pura ed Applicata, 2006, 185 : 577 - 611
[3] Bifurcation of almost periodic solutions for a nonlinear integral equation with delay
Chen, S
Torrejon, R
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 27 (08) : 863 - 877
[4] PERIODIC SOLUTIONS FOR NONLINEAR DIFFERENTIAL EQUATION WITH FUNCTIONAL DELAY
Deham, Hafsia
Djoudi, Ahcene
GEORGIAN MATHEMATICAL JOURNAL, 2008, 15 (04) : 635 - 642
[5] ON STABILITY AND BIFURCATION OF PERIODIC SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS
El-Sheikh, M. M. A.
El-Mahrouf, S. A. A.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2005, 19 (1-2) : 281 - 295
[6] On stability and bifurcation of periodic solutions of delay differential equations
El-Sheikh M.M.A.
El-Mahrouf S.A.A.
Journal of Applied Mathematics and Computing, 2005, 19 (1-2) : 281 - 295
[7] Existence and bifurcation of periodic solutions of three-dimensional delay differential equations
Bi, P
Han, MA
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (11): : 3921 - 3929
[8] Periodic Solutions for Higher Order Delay Differential Equation
Liang, Xin
Gong, Fuzhong
Ma, Mingjuan
Zhang, Yu
MANUFACTURING PROCESS AND EQUIPMENT, PTS 1-4, 2013, 694-697 : 2801 - 2804
[9] On the Dynamics of the Logistic Delay Differential Equation with Two Different Delays
EL-Sayed, A. M. A.
Salman, S. M.
Abo-Bakr, A. M. A.
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2021, 7 (02): : 442 - 449
[10] A Priori Bounds for Periodic Solutions to Nonlinear Differential Equation with Delay
Chen, Xinyi
PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, SIMULATION AND MODELLING, 2016, 41 : 157 - 160

← 1 2 3 4 5 →