文献类型：期刊文献

英文题名：Stability switches and fold-Hopf bifurcations in an inertial four-neuron network model with coupling delay

作者：Ge, Juhong[1];Xu, Jian[2]

第一作者：Ge, Juhong

通讯作者：Xu, J[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, 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), Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China.

年份：2013

卷号：110

起止页码：70-79

外文期刊名：NEUROCOMPUTING

收录：;EI(收录号：20131616215068);Scopus(收录号：2-s2.0-84876139044);WOS:【SCI-EXPANDED(收录号:WOS:000318457700009)】；

基金：The authors are very grateful to the associate editor and reviewers for their valuable comments and suggestions. This research is supported by the State Key Program of National Natural Science Foundation of China under Grant no. 11032009 and the National Natural Science Foundation of China under Grant no. 11202068.

语种：英文

外文关键词：Inertial neural network; Time delay; Stability switches; Fold-Hopf bifurcations

摘要：The dynamics of a four-neuron delayed bidirectional associative memory (BAM) model with inertia are investigated. Local stability for the trivial equilibrium is analyzed for various system parameters. Stability switches and fold-Hopf bifurcations are found to occur in this model as progressive increasing of coupling delay values. Fold-Hopf bifurcations are completely analyzed in the parameter space of the coupling delay and the connection weight by employing the extended perturbation-incremental scheme. Various dynamical behaviors are qualitatively classified in the neighbor of fold-Hopf bifurcation point and bifurcating periodic solutions are expressed analytically in an approximate form. The validity of the results is shown by their consistency with the numerical simulation. (C) 2013 Elsevier B.V. All rights reserved.