文献类型：期刊文献

英文题名：Stability and Hopf bifurcation on four-neuron neural networks with inertia and multiple delays

作者：Ge, Juhong[1];Xu, Jian[2]

第一作者：Ge, Juhong

通讯作者：Ge, JH[1]

机构：[1]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China;[2]Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2018

卷号：287

起止页码：34-44

外文期刊名：NEUROCOMPUTING

收录：;EI(收录号：20180704805252);Scopus(收录号：2-s2.0-85041908632);WOS:【SCI-EXPANDED(收录号:WOS:000427496400003)】；

基金：The authors are very grateful to the editor and reviewers for their valuable comments and suggestions. This work was supported by Young talents Fund of HUEL, Key Research Project of Higher Education Institutions of Henan Province (Grant No. 18A110003), and National Natural Science Foundation of China (Grant Nos. 11772229, 11572224, 61640315 and 61603125).

语种：英文

外文关键词：Inertia; Multiple delays; Hopf singularity; Four-neuron coupled system

摘要：In this paper, the four-neuron inertial neural system with multiple delays is proposed. By analyzing the associated transcendental characteristic equation, the linear stability of the model is investigated and Hopf bifurcation of the trivial equilibrium point is demonstrated. Periodic solutions bifurcating from the trivial equilibrium point are obtained analytically by using the Perturbation scheme without the normal form method and center manifold theory. Finally, numerical simulations well support the theoretical analysis. (C) 2018 Elsevier B.V. All rights reserved.