文献类型：期刊文献

英文题名：Zero-Hopf bifurcation and multistability coexistence on a four-neuron network model with multiple delays

作者：Ge, Juhong[1];Xu, Jian[2];Li, ZhiQiang[1]

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, 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, 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：2017

卷号：87

期号：4

起止页码：2357-2366

外文期刊名：NONLINEAR DYNAMICS

收录：;EI(收录号：20164703049224);Scopus(收录号：2-s2.0-84995757563);WOS:【SCI-EXPANDED(收录号:WOS:000394356600021)】；

基金：This work was supported by the National Natural Science Foundation of China (Grant Nos. 11202068 and 11572224), University Key Teacher Foundation for Youths of Henan Province (Grant No. 2014GGJS-076), and Key Technological Research Project of Henan Province (Grant Nos. 152102210089 and 152102310320).

语种：英文

外文关键词：Zero-Hopf singularity; Multistability coexistence; Multiple delays

摘要：In this paper, a four-neuron neural system with four delays is investigated to exhibit the effects of multiple delays and coupled weights on system dynamics. Zero-Hopf bifurcation is obtained, where the system characteristic equation has a simple zero and a simple pair of pure imaginary eigenvalues. The coupled weight and time delay are considered as bifurcation parameters to study dynamical behaviors derived from zero-Hopf bifurcation. Various dynamical behaviors are analyzed near the bifurcation singularity qualitatively and quantitatively in detail by using perturbation- incremental method, and bifurcation diagrams are obtained. Numerical simulations and theoretical results are given to display a stable resting state, multistability coexistence of two resting states and a pair of periodic activities in the neighbor of the zero-Hopf bifurcation point.