Stability and Hopf Bifurcation of a Three-Neuron Network with Multiple Discrete and Distributed Delays

被引：0
|
作者：
Zhen Wang
Li Li
Yuxia Li
Zunshui Cheng
机构：
[1] Shandong University of Science and Technology,College of Mathematics and Systems Science
[2] Shandong University of Science and Technology,College of Electrical Engineering and Automation
[3] Qingdao University of Science and Technology,College of Mathematics and Physics
来源：
Neural Processing Letters | 2018年 / 48卷
关键词：
Three-neuron network; Distributed delay; Discrete delay; Stability; Hopf bifurcation; Periodic solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a class of three-neuron network with discrete and distributed delays is introduced. We first give a detailed Hopf bifurcation analysis for the proposed network. Choosing the discrete time delay as a bifurcation parameter, the existence of Hopf bifurcation is studied. Moreover, by using the normal form theory and center manifold theorem, the formulae determining the direction of the bifurcations and the stability of the bifurcating periodic solutions are derived. Finally, numerical simulations are presented to demonstrate the effectiveness of our theoretical results.
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页码：1481 / 1502
页数：21
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