Hopf bifurcation analysis for genetic regulatory networks with two delays

被引：26

作者：

Yu, Tingting ^{[1
]}

Zhang, Xian ^{[2
]}

Zhang, Guodong ^{[2
]}

Niu, Ben ^{[3
]}

机构：

[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150080, Peoples R China

[2] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China

[3] Harbin Inst Technol Weihai, Dept Math, Weihai 264200, Peoples R China

来源：

NEUROCOMPUTING | 2015年 / 164卷

基金：

中国国家自然科学基金;

关键词：

Delay; Hopf bifurcation; Stability; Genetic regulatory networks; NEURAL-NETWORK; EXPONENTIAL STABILITY; SWITCHING PARAMETERS; MODEL; OSCILLATIONS; EQUATION; SYSTEMS;

D O I：

10.1016/j.neucom.2015.02.070

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, a genetic regulatory network with two time delays is considered. Firstly, the stabilities with one delay and two delays are investigated. It is shown that the stability switches for time delays, and Hopf bifurcation may occur within certain range of the model parameters. Then, combining the normal form method and the center manifold theorem, we derive the explicit formulas which determine the direction of the bifurcation and the stability of the bifurcated periodic solutions. Finally, some numerical examples are exploited to support our results. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：190 / 200

页数：11

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