Hopf bifurcation analysis of coupled two-neuron system with discrete and distributed delays

被引：0
作者：
Esra Karaoğlu
Enes Yılmaz
Hüseyin Merdan
机构：
[1] TOBB University of Economics and Technology,Department of Mathematics, Faculty of Science and Letters
[2] Gazi University,Department of Mathematics, Polatlı Faculty of Science and Arts
[3] Princeton University,Program in Applied and Computational Mathematics, Princeton Neuroscience Institute
来源：
Nonlinear Dynamics | 2016年 / 85卷
关键词：
Hopf bifurcation; Stability; Neural network; Delay; Periodic solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the stability and Hopf bifurcation analysis of a coupled two-neuron system involving both discrete and distributed delays. First, we analyze stability of equilibrium point. Choosing delay term as a bifurcation parameter, we also show that Hopf bifurcation occurs under some conditions when the bifurcation parameter passes through a critical value. Moreover, some properties of the bifurcating periodic solutions are determined by using the center manifold theorem and the normal form theory. Finally, numerical examples are provided to support our theoretical results.
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页码：1039 / 1051
页数：12
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