| 王小卉,唐清干*,李绪孟.一类二元三时滞神经网络的Hopf分支[J].南华大学学报(自然科学版),2008,22(4):60~63.[WANG Xiao-hui1,2,TANG Qing-gan1*,LI Xu-meng2.Hopf Bifurcation Analysis for a Two-neuron Network with Three Delays[J].Journal of University of South China(Science and Technology),2008,22(4):60~63.] |
| 一类二元三时滞神经网络的Hopf分支 |
| Hopf Bifurcation Analysis for a Two-neuron Network with Three Delays |
| 投稿时间：2008-09-08 |
| DOI： |
| 中文关键词: Hopf分支 神经网络 时滞 线性稳定性 |
| 英文关键词:Hopf bifurcation Neural network Delay Linear stability |
| 基金项目:湖南农业大学青年科学基金项目(08QN13). |
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| 中文摘要: |
| 通过对两个或三个神经元网络动力学性质的研究加深对大规模神经网络的了解是当前神经网络动力学性质研究的一个热点.本文考虑了一类二元三时滞神经网络模型的动力学性质.通过线性化方法,分析了神经网络微分系统的线性稳定性和Hopf分支,并利用Hassard的标准型方法和中心流形理论得到了Hopf分支的方向.本文的结果是已有文献结果的扩展和补充. |
| 英文摘要: |
| The investigation of neural networks with two or three neurons has been the hot subject of recent study,for which can obtain a deep and clear understanding of the dynamics of large-scale neural networks.In this paper,the dynamics of a class of two-neuron networks with three delays is investigated.The linear stability and Hopf bifurcation are analyzed by linearization method,and the direction of Hopf bifurcation is obtained by the normal form method and the center manifold theory introduced by hassard.The results extend and complement some earlier publication. |
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