Hopf bifurcation analysis in synaptically coupled HR neurons with two time delays
Hopf bifurcation analysis in synaptically coupled HR neurons with two time delays
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DOI：
10.1007/s11071-010-9718-2
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发表时间：
2010-05
影响因子：
5.6
通讯作者：
Dejun Fan;L. Hong;Junjie Wei
中科院分区：
文献类型：
--
作者：
Dejun Fan;L. Hong;Junjie Wei
本文研究了一类具有两个时滞的非全同HR突触耦合模型的稳定性和Hopf分支。以两个时滞之和的一半为参数，首先考虑了局部Hopf分支的存在性，然后利用规范形方法和中心流形理论，得到了确定分支方向和分支周期解稳定性的显式公式.最后，进行了数值模拟支持理论分析结果。
This paper presents an investigation of stability and Hopf bifurcation of a synaptically coupled nonidentical HR model with two time delays. By regarding the half of the sum of two delays as a parameter, we first consider the existence of local Hopf bifurcations, and then derive explicit formulas for determining the direction of the Hopf bifurcations and the stability of bifurcating periodic solutions, using the normal form method and center manifold theory. Finally, numerical simulations are carried out for supporting theoretical analysis results.