Geodesic
Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider a discrete-time network system of two neurons with McCulloch-Pitts nonlinearity. We show that if a parameter is sufficiently small, then network system has a stable periodic solution with minimal period 4k, and if the parameter is large enough, then the solutions of system converge to single equilibrium.
Classification : 39A10, 39A12
Keywords: discrete neural networks, dynamics 
@article{EJDE_2003__2003__a152,
     author = {Dai, Binxiang and Huang, Lihong and Qian, Xiangzhen},
     title = {Large-time dynamics of discrete-time neural networks with {McCulloch-Pitts} nonlinearity},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a152/}
}
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Dai, Binxiang; Huang, Lihong; Qian, Xiangzhen. Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity. Electronic Journal of Differential Equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a152/