Dynamics in a Coupled FHN Model with Two Different Delays

被引：2
|
作者：
Xu, Changjin [1 ]
Wu, Yusen [2 ]
Lu, Lin [1 ]
机构：
[1] Guizhou Coll Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China
[2] Henan Univ Sci & Technol, Dept Math & Stat, Luoyang 471003, Peoples R China
来源：
JOURNAL OF COMPUTERS | 2014年 / 9卷 / 08期
基金：
中国国家自然科学基金;
关键词：
FHN model; delay; stability; Hopf bifurcation; periodic solution;
D O I：
10.4304/jcp.9.8.1834-1842
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a coupled FHN model with two different delays is investigated. The local stability and the existence of Hopf bifurcation for the system are analyzed. The effect of two different delays on dynamical behavior is discussed. Simulation results are presented to support theoretical analysis. Finally, main conclusions are included.
引用
收藏
页码：1834 / 1842
页数：9
相关论文
共 50 条
  • [1] HOPF BIFURCATION IN A SYNAPTICALLY COUPLED FHN NEURON MODEL WITH TWO DELAYS
    Zhang, Liping
    Zhou, Ningning
    COMPUTATIONAL INTELLIGENCE: FOUNDATIONS AND APPLICATIONS: PROCEEDINGS OF THE 9TH INTERNATIONAL FLINS CONFERENCE, 2010, 4 : 995 - 1000
  • [2] Periodic Oscillation Analysis for a Coupled FHN Network Model with Delays
    Lin, Yuanhua
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [3] Stability and Oscillation of the Solutions for a Coupled FHN Model with Time Delays
    Lin, Yuanhua
    INTELLIGENT COMPUTING IN BIOINFORMATICS, 2014, 8590 : 164 - 174
  • [4] Hopf bifurcation analysis in a synaptically coupled FHN neuron model with delays
    Fan, Dejun
    Hong, Ling
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (07) : 1873 - 1886
  • [5] Oscillation Analysis of the Solutions for a Four Coupled FHN Network Model with Delays
    Feng, Chunhua
    Plamondon, Rejean
    PROCEEDINGS OF THE 2014 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2014, : 2776 - 2782
  • [6] Stability and Hopf Bifurcation Analysis in Synaptically Coupled FHN Neurons with Two Time Delays
    Fan, Dejun
    Hong, Ling
    DYNAMICAL SYSTEMS: DISCONTINUITY, STOCHASTICITY AND TIME-DELAY, 2010, : 157 - 167
  • [7] Collective dynamics in an ensemble of globally coupled FHN systems
    Sailer, X
    Zaks, M
    Schimansky-Geier, L
    FLUCTUATION AND NOISE LETTERS, 2005, 5 (02): : L299 - L304
  • [8] Dynamics Analysis of the FHN Neuronal Model
    Chai, Y.
    Yang, G.
    SIXTH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS (ICNM-VI), 2013, : 329 - 334
  • [9] DYNAMICS OF A miRNA MODEL WITH TWO DELAYS
    Nikolov, Svetoslav
    Gonzalez, Julio Vera
    Nenov, Momchil
    Wolkenhauer, Olaf
    BIOTECHNOLOGY & BIOTECHNOLOGICAL EQUIPMENT, 2012, 26 (05) : 3315 - 3320
  • [10] Dynamics of an infection model with two delays
    Sun, Xinguo
    Wei, Junjie
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2015, 8 (05)
12345