Local Bifurcation Analysis of a Fractional-Order Dynamic Model of Genetic Regulatory Networks with Delays

被引：0
|
作者：
Sun, Qingshan [1 ]
Xiao, Min [1 ]
Zhao, Lingzhi [2 ]
Tao, Binbin [1 ]
机构：
[1] Nanjing Univ Posts & Telecommun, Coll Automat, Nanjing 210003, Jiangsu, Peoples R China
[2] Nanjing Xiaozhuang Univ, Coll Informat Engn, Nanjing 210017, Jiangsu, Peoples R China
来源：
INTELLIGENT COMPUTING, NETWORKED CONTROL, AND THEIR ENGINEERING APPLICATIONS, PT II | 2017年 / 762卷
基金：
中国国家自然科学基金;
关键词：
Fractional-order; Hopf bifurcation; Genetic regulatory networks; Time delays; HOPF-BIFURCATION; SYSTEM;
D O I：
10.1007/978-981-10-6373-2_51
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper proposes a mathematical model of gene networks, which includes the fractional derivative and delays. We obtain the conditions of the stability and Hopf bifurcation, and find that a Hopf bifurcation occurs when the sum of delays crosses the critical value, which can be calculated exactly. The fractional order can be used to effectively control the dynamics of such fractional-order model, and the stability domain can be changed by manipulated the order. Finally, a numerical example is presented to demonstrate the theoretical analysis.
引用
收藏
页码：507 / 514
页数：8
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