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

页码：1834 / 1842

页数：9

共 50 条

[21] The entanglement dynamics of two coupled qubits in different environment
Li, Zeng-Zhao
Liang, Xian-Ting
Pan, Xiao-Yin
PHYSICS LETTERS A, 2009, 373 (44) : 4028 - 4032
[22] Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays
Lolika, Paride O.
Mushayabasa, Steady
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
[23] Global stability of a discrete population dynamics model with two delays
Nigmatulin, RM
AUTOMATION AND REMOTE CONTROL, 2005, 66 (12) : 1964 - 1971
[24] Dynamics Analysis of an Epidemiological Model with Media Impact and Two Delays
Wang, Lianwen
Li, Yong
Pang, Liuyong
MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
[25] Local dynamics of an equation with two large different-order delays
I. S. Kashchenko
Doklady Mathematics, 2016, 94 : 578 - 582
[26] Bifurcation analysis of the statics and dynamics of a logistic model with two delays
Berezowski, M
Fudala, E
CHAOS SOLITONS & FRACTALS, 2006, 28 (02) : 543 - 554
[27] Global Stability of a Discrete Population Dynamics Model with Two Delays
R. M. Nigmatulin
Automation and Remote Control, 2005, 66 : 1964 - 1971
[28] Local dynamics of an equation with two large different-order delays
Kashchenko, I. S.
DOKLADY MATHEMATICS, 2016, 94 (02) : 578 - 582
[29] HOPF-PITCHFORK BIFURCATION ANALYSIS IN A COUPLED FHN NEURONS MODEL WITH DELAY
Wang, Runxia
Liu, Haihong
Yan, Fang
Wang, Xiaohui
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2017, 10 (03): : 523 - 542
[30] Coupling dynamics in an FHN bi-neuron model coupled via ReLU function-based locally active memristor
Chen, Xiongjian
Wang, Ning
Wang, Kai
Chen, Mo
Parastesh, Fatemeh
Xu, Quan
NONLINEAR DYNAMICS, 2024, 112 (22) : 20365 - 20379

← 1 2 3 4 5 →