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  • 标题:On the stability of the Cartesian product of a neural ring and an arbitrary neural network
  • 本地全文:下载
  • 作者:Sergey Ivanov ; Mikhail Kipnis ; Rigoberto Medina
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:176
  • DOI:10.1186/1687-1847-2014-176
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The stability of a system of neural networks connected to a ring has been studied extensively throughout recent years. Our main contribution within this work states that the stability region in the parameter space of a discrete-time model can be extended by breaking such a ring provided that there is a sufficiently large number of networks. Also, it has been shown that for a small ring, paradoxical values may appear within its parameter space for which such a ring is stable; meanwhile, corresponding linear configuration is unstable. MSC:37B25.
  • 关键词:stability ; discrete-time model ; ring of neural networks ; Cartesian product of networks ; the stability cone
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