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  • 标题:The Bogdanov-Takens bifurcation study of 2 m coupled neurons system with 2 m + 1 $2m+1$ delays
  • 本地全文:下载
  • 作者:Yanwei Liu ; Xia Liu ; Shanshan Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:334
  • DOI:10.1186/s13662-015-0646-9
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper the Bogdanov-Takens (BT) bifurcation of an 2m coupled neurons network model with multiple delays is studied, where one neuron is excitatory and the next is inhibitory. When the origin of the model has a double zero eigenvalue, by using center manifold reduction of delay differential equations (DDEs), the second-order and third-order universal unfoldings of the normal forms are deduced, respectively. Some bifurcation diagrams and numerical simulations are presented to verify our main results.
  • 关键词:neurons ; delays ; Bogdanov-Takens bifurcation ; normal form
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