On \(\omega\)-limit sets of triangular maps
type: Item
instance of: scholarly article
title: On \(\omega\)-limit sets of triangular maps
zbMATH Open document ID: 0804.26003
author: Sergiĭ Kolyada
author: Ľubomír Snoha
published in: Real Analysis Exchange
publication date: 1993-06-29T00:00:00Z
review text: The paper studies possible \(\omega\)-limit sets for triangular maps \(F: I^ 2\to I^ 2\), where \(I\) is a real compact interval. A map is called triangular if \(F(x,y)= (f(x),g(x,y))\). The main result obtained is the characterization of those \(\omega\)-limit sets which lie in one fibre (\(x=\text{const.}\)). Further, it is shown that as the intersection of an \(\omega\)-limit set with a fibre one can obtain an arbitrary compact subset of the fibre.
Mathematics Subject Classification ID: 26A18
Mathematics Subject Classification ID: 37B99
Mathematics Subject Classification ID: 26B99
zbMATH DE Number: 222090
zbMATH Keywords: iterate
zbMATH Keywords: triangular maps
zbMATH Keywords: \(\omega\)-limit sets
reviewed by: Katarina Janková
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 222090