Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 45, pp. 1-8.

Title: Large-time dynamics of discrete-time neural networks with
       McCulloch-Pitts nonlinearity

Authors: Binxiang Dai (Hunan Univ., Changsha, China)
 Lihong Huang (Hunan Univ., Changsha, China)
 Xiangzhen Qian (Hunan Univ., Changsha, China)

Abstract: 
  We consider a discrete-time network system of two neurons with
  McCulloch-Pitts nonlinearity. We show that if a parameter
  is sufficiently small, then network system has a stable periodic
  solution with minimal period 4k, and if the parameter is large enough,
  then the solutions of system converge to single equilibrium.
 
Submitted December 17, 2002. Published April 22, 2003.
Math Subject Classifications: 39A10, 39A12.
Key Words: Discrete neural networks; dynamics.