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Zbl 1045.92002
Yuan, Zhaohui; Huang, Lihong; Chen, Yuming
Convergence and periodicity of solutions for a discrete-time network model of two neurons. (English)
[J] Math. Comput. Modelling 35, No. 9-10, 941-950 (2002). ISSN 0895-7177

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 2000:: *92B20 General theory of neural networks
39A10 Difference equations
68T05 Learning and adaptive systems

Keywords: Difference system; Neural network; Piecewise constant argument; Convergence; Periodicity

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