Oscillation Analysis of the Solutions for a Four Coupled FHN Network Model with Delays

被引：0
作者：
Feng, Chunhua [1 ]
Plamondon, Rejean [2 ]
机构：
[1] Guangxi Normal Univ, Coll Math & Stat, Guilin 541004, Guangxi, Peoples R China
[2] Ecole Polytech, Dept Genie Elect, Montreal, PQ H3C 3A7, Canada
来源：
PROCEEDINGS OF THE 2014 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN) | 2014年
关键词：
FITZHUGH-NAGUMO SYSTEMS; SYNCHRONIZATION; BIFURCATION;
D O I：
暂无
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, the existence of oscillatory solutions for a four coupled FHN network model with delays is investigated. Some theorems to determine the oscillatory solutions for the system are obtained. The practical criteria for selecting the parameters in this network are provided. Computer simulations are also given to illustrate the effectiveness of the results.
引用
收藏
页码：2776 / 2782
页数：7
相关论文
共 14 条
  • [1] Synchronization of coupled chaotic FitzHugh-Nagumo systems
    Aqil, Muhammad
    Hong, Keum-Shik
    Jeong, Myung-Yung
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (04) : 1615 - 1627
  • [2] BIFURCATION PROBLEM FOR A FUNCTIONAL DIFFERENTIAL EQUATION OF FINITELY RETARDED TYPE
    CHAFEE, N
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 35 (02) : 312 - &
  • [3] Hopf bifurcation analysis in a synaptically coupled FHN neuron model with delays
    Fan, Dejun
    Hong, Ling
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (07) : 1873 - 1886
  • [4] An oscillatory criterion for a time delayed neural ring network model
    Feng, Chunhua
    Plamondon, Rejean
    [J]. NEURAL NETWORKS, 2012, 29-30 : 70 - 79
  • [5] Gopalsamy K., 2013, STABILITY OSCILLATIO, V74
  • [6] Gyori I., 1991, Oscillation theory of delay differential equations with applications
  • [7] Hale, 1977, INTRO FUNCTIONAL DIF
  • [8] Horn R.A., 2012, Matrix Analysis
  • [9] Delay-induced vibrational multiresonance in FitzHugh-Nagumo system
    Hu, Dongliang
    Yang, Jianhua
    Liu, Xianbin
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (02) : 1031 - 1035
  • [10] Kolmanovskii V. B., 1999, Introduction to the Theory and Applications of Functional Differential Equations
12