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 |
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| 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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