On the global structure of invariant regions of flows with asymptotically stable attractors
type: Item
instance of: scholarly article
title: On the global structure of invariant regions of flows with asymptotically stable attractors
zbMATH Open document ID: 0942.37052
DOI: 10.1007/PL00004781
published in: Mathematische Zeitschrift
publication date: 2000-01-17T00:00:00Z
review text: The authors study some properties of the positively invariant regions of continuous dynamical systems having stable attractors. They show that the global structure of a positively invariant compact set is rather simple in many important cases. Especially, when they contain an asymptotically stable global attractor, they have trivial shape if the ambient space is a Banach space or a contractible manifold.
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 37L15
Mathematics Subject Classification ID: 55P55
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 54C56
zbMATH DE Number: 1389853
zbMATH Keywords: positively invariant regions
zbMATH Keywords: continuous dynamical systems
zbMATH Keywords: asymptotically stable global attractor
zbMATH Keywords: contractible manifold
author: Antonio Giraldo
author: José Sanjurjo
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: pl00004781
OpenAlex ID: W1969641272
description: scientific article; zbMATH DE number 1389853