Dai, Binxiang; Huang, Lihong; Qian, Xiangzhen Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity. (English) Zbl 1042.39006 Electron. J. Differ. Equ. 2003, Paper No. 45, 8 p. (2003). 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. Reviewer: Marat Akhmet (Ankara) 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 Keywords:discrete neural networks; periodic solutions; equilibria; convergence; dynamics; McCulloch-Pitts nonlinearity PDF BibTeX XML Cite \textit{B. Dai} et al., Electron. J. Differ. Equ. 2003, Paper No. 45, 8 p. (2003; Zbl 1042.39006) Full Text: EuDML EMIS OpenURL