文章基本信息

标题：On the stability of the Cartesian product of a neural ring and an arbitrary neural network
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作者：Sergey Ivanov ; Mikhail Kipnis ; Rigoberto Medina 等
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