Bifurcation Analysis for a Discrete-time Hopfield Neural Network with Multiple Delays

摘要：

In this paper, a discrete-time Hopfield neural network with multiple delays is investigated. We firstly consider the local asymptotic stability of the null solution and the existence of Neimark-Sacker bifurcations. By using the normal form theory and center manifold reduction, we derive explicit formulae that determine the stability, direction and other properties of bifurcating periodic solutions. Finally, some numerical simulations for justifying the theoretical results are provided.

关键词： Hopfield neural network discrete-time Neimark-Sacker bifurcation asymptotic stability

作者: Qintao Gan Rui Xu Xiao Zhang

作者单位: Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003 Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003;

会议类型: 国际会议

会议名称: 中国数学会生物数学分会第六届学术年会

会议地点: 山东泰安

会议语种:英文

页码: 433-437

在线出版日期: 2008-07-25（万方平台首次上网日期，不代表论文的发表时间）