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
收藏
页码：190 / 200
页数：11
相关论文
共 50 条
  • [31] Local Bifurcation Analysis of a Fractional-Order Dynamic Model of Genetic Regulatory Networks with Delays
    Qingshan Sun
    Min Xiao
    Binbin Tao
    Neural Processing Letters, 2018, 47 : 1285 - 1296
  • [32] Local Bifurcation Analysis of a Fractional-Order Dynamic Model of Genetic Regulatory Networks with Delays
    Sun, Qingshan
    Xiao, Min
    Tao, Binbin
    NEURAL PROCESSING LETTERS, 2018, 47 (03) : 1285 - 1296
  • [33] Analysis and Fractional PD Control Bifurcation of a Fractional-Order Genetic Regulatory Networks with Delays
    Liu, Feng
    Dong, Ting
    Mei, Qicheng
    Zheng, Shiqi
    Ling, Guang
    Wei, Longsheng
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 10202 - 10206
  • [34] Local Bifurcation Analysis of a Fractional-Order Dynamic Model of Genetic Regulatory Networks with Delays
    Sun, Qingshan
    Xiao, Min
    Zhao, Lingzhi
    Tao, Binbin
    INTELLIGENT COMPUTING, NETWORKED CONTROL, AND THEIR ENGINEERING APPLICATIONS, PT II, 2017, 762 : 507 - 514
  • [35] Hybrid control of Hopf bifurcation in complex networks with delays
    Cheng, Zunshui
    Cao, Jinde
    NEUROCOMPUTING, 2014, 131 : 164 - 170
  • [36] Hopf bifurcation in bidirectional associative memory neural networks with delays: analysis and computation
    Wang, L
    Zou, XF
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 167 (01) : 73 - 90
  • [37] Hopf Bifurcation in an Augmented Solow Model with Two Delays
    ElFadily, S.
    Kaddar, A.
    Najib, K.
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2022, 11 (02) : 459 - 471
  • [38] Stability and Hopf bifurcation of a love model with two delays
    Liu, Yifan
    Cai, Jiazhi
    Xu, Haowen
    Shan, Minghe
    Gao, Qingbin
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 205 : 558 - 580
  • [39] Stability and Hopf bifurcation analysis for a two-enterprise interaction model with delays
    Li, Long
    Zhang, Cun-Hua
    Yan, Xiang-Ping
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 30 (1-3) : 70 - 83
  • [40] Local stability and Hopf bifurcation analysis of a Rate Control Protocol with two delays
    Abuthahir
    Raina, Gaurav
    2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 3111 - 3116
12345