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Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity. (English) Zbl 1042.39006

The paper deals with discrete-time network system of two neurons with the special piecewise constant nonlinearity. It is proved that if a parameter is small then network system admits a stable periodic solution and if the parameter is large enough, then the solutions of the system converge to single equilibrium.

MSC:

39A12 Discrete version of topics in analysis
39A11 Stability of difference equations (MSC2000)
92B20 Neural networks for/in biological studies, artificial life and related topics
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