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  • 标题:Dynamics of a class of neutral three neurons network with delay
  • 本地全文:下载
  • 作者:Ming Liu ; Chunrui Zhang ; Xiaofeng Xu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:338
  • DOI:10.1186/1687-1847-2013-338
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, a class of neutral neural networks with delays is investigated. The linear stability of the model is studied. It is found that a Hopf bifurcation also occurs when some delays pass through a sequence of critical values. The direction of the Hopf bifurcations and the stability of bifurcating periodic solutions are determined by using the normal form method and center manifold theory. The existence of a permanent oscillation is established using Chafee’s criterion. Numerical simulations are performed to support the analytical results.
  • 关键词:neutral neural network ; stability ; Hopf bifurcation ; permanent oscillation
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