Convergence and periodicity of solutions for a class of discrete-time recurrent neural network with two neurons

Abstract

Multistable neural networks have attracted much interesting in recent years, since the monostable networks are computationally restricted. This paper studies a class of discrete-time two-neurons networks with unsaturating piecewise linear activation functions. Some interesting results for the convergence and the periodicity of solutions of the system are obtained. © Springer-Verlag Berlin Heidelberg 2006.