期刊论文详细信息
Advances in Difference Equations | |
On the stability of the Cartesian product of a neural ring and an arbitrary neural network | |
Rigoberto Medina1  Mikhail Kipnis2  Sergey Ivanov2  | |
[1] Departamento de Ciencias Exactas, Universidad de Los Lagos, Casilla, Osorno, Chile;Department of Mathematics, Chelyabinsk State Pedagogical University, Chelyabinsk, Russia | |
关键词: stability; discrete-time model; ring of neural networks; Cartesian product of networks; the stability cone; | |
DOI : 10.1186/1687-1847-2014-176 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 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.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904027702792ZK.pdf | 414KB | download |