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Stable periodic orbits in nonlinear discrete-time neural networks with delayed feedback

โœ 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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โœฆ 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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