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

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

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 si...

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Bibliographic Details
Main Authors: Binxiang Dai, Lihong Huang, Xiangzhen Qian
Format: Article
Language:English
Published: Texas State University 2003-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Discrete neural networks
dynamics.
Online Access:http://ejde.math.txstate.edu/Volumes/2003/45/abstr.html
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spelling doaj-6801163f8f494fc4ad52f4387410c3112020-11-24T23:55:52ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-04-0120034518Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearityBinxiang DaiLihong HuangXiangzhen QianWe 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. http://ejde.math.txstate.edu/Volumes/2003/45/abstr.htmlDiscrete neural networksdynamics.
collection DOAJ
language English
format Article
sources DOAJ
author Binxiang Dai
Lihong Huang
Xiangzhen Qian
spellingShingle Binxiang Dai
Lihong Huang
Xiangzhen Qian
Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity
Electronic Journal of Differential Equations
Discrete neural networks
dynamics.
author_facet Binxiang Dai
Lihong Huang
Xiangzhen Qian
author_sort Binxiang Dai
title Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity
title_short Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity
title_full Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity
title_fullStr Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity
title_full_unstemmed Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity
title_sort large-time dynamics of discrete-time neural networks with mcculloch-pitts nonlinearity
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2003-04-01
description 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.
topic Discrete neural networks
dynamics.
url http://ejde.math.txstate.edu/Volumes/2003/45/abstr.html
work_keys_str_mv AT binxiangdai largetimedynamicsofdiscretetimeneuralnetworkswithmccullochpittsnonlinearity
AT lihonghuang largetimedynamicsofdiscretetimeneuralnetworkswithmccullochpittsnonlinearity
AT xiangzhenqian largetimedynamicsofdiscretetimeneuralnetworkswithmccullochpittsnonlinearity
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