Stable periodic orbits in nonlinear discrete-time neural networks with delayed feedback
โ Scribed by Zhan Zhou; Jianhong Wu
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 377 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
we consider a nonlinear discrete-time system 4n + 1) = k(n) + g(y(n -k)), Y(n + 1) = Dy(n) -g(4n -k)), n E N, arising as a discrete-time network of two neurons with McCulloch-Pitts nonlinearity,
where p E (0, l), k is a positive integer, and g is a signal transmission function with a threshold 6. We obtain a stable 4(/c+ 1)-periodic orbit in some regions of the parameters (p, u), and we describe asymptotic behaviors of the system in other regions of (p, 0).
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