Hopf bifurcation for neutral functional differential equations

被引：23

作者：

Wang, Chuncheng ^{[1
]}

Wei, Junjie ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 03期

关键词：

NFDE; Hopf bifurcation; Neutral logistic equation; PERIODIC-SOLUTIONS; NORMAL FORMS; PARAMETERS;

D O I：

10.1016/j.nonrwa.2009.02.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend the computation of the properties of Hopf bifurcation, such as the direction of bifurcation and stability of bifurcating periodic solutions, of DDE introduced by Kazannoff et al. [N.D. Kazannoff. P. van den Driessche, Y.H. Wan, Hopf bifurcation and stability of periodic solutions of differential-difference and integro-differential equations, J. Inst. Math. Appl. 21 (1978) 461-477] to a kind of neutral functional differential equation (NFDE). As an example, a neutral delay logistic differential equation is considered. and the explicit formulas for determining the direction of bifurcation and the stability of bifurcating periodic solutions are derived. Finally, some numerical simulations are carried our to support the analytic results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1269 / 1277

页数：9

共 18 条

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