BIFURCATION IN A TWO-DIMENSIONAL NEURAL NETWORK MODEL WITH DELAY |
| |
Authors: | WEI Jun-jie ZHANG Chun-rui LI Xiu-ling |
| |
Affiliation: | Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P.R.China;Key Laboratory of Forestry Plant Ecology of Ministry of Education, ; Northeast Forestry University, Harbin 150040, P.R.China;;Department of Basic Science and Art, Changchun Taxation College,; Changchun 130022, P.R.China |
| |
Abstract: | A kind of 2-dimensional neural network model with delay is considered. By analyzing the distribution of the roots of the characteristic equation associated with the model, a bifurcation diagram was drawn in an appropriate parameter plane. It is found that a line is a pitchfork bifurcation curve. Further more, the stability of each fixed point and existence of Hopf bifurcation were obtained. Finally, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions were determined by using the normal form method and centre manifold theory. |
| |
Keywords: | neural network centre manifold pitchfork bifurcation Hopf bifurcation |
本文献已被 CNKI 维普 万方数据 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |