Morse decompositions in the absence of uniqueness. II
type: Item
instance of: scholarly article
title: Morse decompositions in the absence of uniqueness. II
zbMATH Open document ID: 1052.37022
DOI: 10.12775/TMNA.2003.026
author: Maria C. Carbinatto
author: Krzysztof P. Rybakowski
published in: Topological Methods in Nonlinear Analysis
publication date: 2004-09-06T00:00:00Z
review text: The first part of the article is appeared in [ibid. 18, 205--242 (2001; Zbl 1035.37019)]. Following the ideas of \textit{R. D. Franzosa} [Trans. Am. Math. Soc. 311, 561--592 (1989; Zbl 0689.58030)] in the present part, the concept of \(\mathcal T\)-Morse decompositions is extended to the partially ordered case. There are results on continuation and singular convergence of such decompositions and an application to some thin domain problems is given.
reviewed by: Roman Srzednicki
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 37B30
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B25
zbMATH DE Number: 2096715
zbMATH Keywords: attractor-repeller pairs
zbMATH Keywords: partially ordered Morse decompositions
zbMATH Keywords: singular perturbations
zbMATH Keywords: thin domains
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2096715