Electron. J. Diff. Eqns., Vol. 2003(2003), No. 45, pp. 1-8.

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

Binxiang Dai, Lihong Huang, & Xiangzhen Qian

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.

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Binxiang Dai
College of Mathematics and econometrics
Hunan University
Changsha, Hunan 410082, China
email: bxdai@hnu.net.cn
  Lihong Huang
College of Mathematics and econometrics
Hunan University
Changsha, Hunan 410082, China
email: lhhuang@hnu.net.cn
  Xiangzhen Qian
College of Mathematics and econometrics
Hunan University
Changsha, Hunan 410082, China
email: xzqian@hnu.net.cn

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