Periodic orbits on discrete dynamical systems
type: Item
instance of: scholarly article
title: Periodic orbits on discrete dynamical systems
zbMATH Open document ID: 1052.39016
DOI: 10.1016/S0898-1221(03)00075-0
author: Zhan Zhou
publication date: 2004-08-06T00:00:00Z
review text: This work deals with the existence of stable periodic solutions for the following discrete dynamical systems: \(x(n+1)= \beta x(n)-g(x(n))\), where is \(\beta\) a positive constant and \(g\) is a nonlinear function and \(g\) may be not continuous. The author gives several results about the existence of periodic orbits of arbitrary periods according to different range of \(\beta\). He discussed two cases, the first one when \(g\) is of McCulloch-Pitts and the second case when \(g\) is a sigmoid function. For illustration an example is given an the end of the work.
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 37C27
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 2082222
zbMATH Keywords: periodic orbits
zbMATH Keywords: discrete dynamical systems
zbMATH Keywords: neural networks
reviewed by: Khalil Ezzinbi
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2082222