-
47浏览
-
0点赞
-
0收藏
-
0分享
-
95下载
-
0评论
-
引用
期刊论文
Stability and bifurcation in a discrete system of two neurons with delays
Nonlinear Analysis: Real World Applications 9(2008)1323-1335,-0001,():
In this paper, we consider a simple discrete two-neuron network model with three delays. The characteristic equation of the linearized system at the zero solution is a polynomial equation involving very high order terms. We derive some sufficient and necessary conditions on the asymptotic stability of the zero solution. Regarding the eigenvalues of connection matrix as the bifurcation parameters, we also consider the existence of three types of bifurcations: Fold bifurcations, Flip bifurcations, and Neimark-Sacker bifurcations. The stability and direction of these three kinds of bifurcations are studied by applying the normal form theory and the center manifold theorem. Our results are a very important generalization to the previous works in this field. © 2007 Published by Elsevier Ltd.
【免责声明】以下全部内容由[郭上江]上传于[2010年01月07日 11时21分46秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。
本学者其他成果
同领域成果