Stability and bifurcation of genetic regulatory networks with delays

被引：33
|
作者：
Wang, Kai [1 ,2 ]
Wang, Lei [2 ]
Teng, Zhidong [1 ]
Jiang, Haijun [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Xinjiang Med Univ, Dept Med Engn & Technol, Urumqi 830059, Peoples R China
来源：
NEUROCOMPUTING | 2010年 / 73卷 / 16-18期
关键词：
Hopf bifurcation; Periodic solution; Genetic regulatory networks; Time delay; ROBUST STABILITY; EXPONENTIAL STABILITY; HOPF-BIFURCATION; SIMULATION; SYSTEM; NOISE;
D O I：
10.1016/j.neucom.2010.08.009
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A four-dimension genetic regulatory network model with double genes and four delays is considered. The existence of Hopf bifurcation is first considered and then explicit formulas are derived by using the normal form method and center manifold theory to determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions. Finally, numerical simulations are carried out to support the theoretical analysis of the research. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：2882 / 2892
页数：11
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