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Convergence and periodicity of solutions for a discrete-time network model of two neurons. (English) Zbl 1045.92002
Summary: Considered is a class of difference systems with McCulloch-Pitts nonlinearity, which includes the discrete version of an artificial neural network of two neurons with piecewise constant arguments. Some interesting results are obtained for the convergence and periodicity of solutions of the systems. Most importantly, multiple periodic solutions exist. Our results have potential applications in neural networks.
MSC:
92B20General theory of neural networks (mathematical biology)
39A10Additive difference equations
68T05Learning and adaptive systems