期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2007
卷号：2007
DOI：10.1155/2007/84260
出版社：Hindawi Publishing Corporation
摘要：A bifurcation analysis is undertaken for a discrete-time Hopfield neural
network with four delays. Conditions ensuring the asymptotic stability of the null
solution are obtained with respect to two parameters of the system. Using techniques
developed by Kuznetsov to a discrete-time system, we study the Neimark-Sacker bifurcation (also called Hopf bifurcation for maps) of the system. The direction and the
stability of the Neimark-Sacker bifurcation are investigated by applying the normal form
theory and the center manifold theorem.
