Geodesic
Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity
Electronic journal of differential equations, Tome 2003 (2003)
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},
     year = {2003},
     volume = {2003},
     zbl = {1042.39006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a152/}
}
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%J Electronic journal of differential equations
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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/