Morse decompositions for periodic general dynamical systems and differential inclusions
type: Item
instance of: scholarly article
title: Morse decompositions for periodic general dynamical systems and differential inclusions
zbMATH Open document ID: 1278.37025
author: Yejuan Wang
author: Desheng Li
published in: Set-Valued and Variational Analysis
publication date: 2013-01-04T00:00:00Z
review text: In this paper, the authors define a Morse decomposition for invariant sets of a periodic general dynamical system (i.e., a periodic multivalued dynamical system) using the standard approach -- constructing a sequence of uniform attractor-repeller pairs -- and prove the robustness of such a decomposition under small perturbations. The result obtained can then be applied to non-autonomous differential inclusions with only upper-semicontinuous right-hand side. As a concrete application, the authors study the effect of small time delays on the asymptotic behaviour of control systems.
reviewed by: Matheus Cheque Bortolan
Mathematics Subject Classification ID: 37B25
Mathematics Subject Classification ID: 34E10
zbMATH DE Number: 6121904
zbMATH Keywords: Morse decomposition
zbMATH Keywords: invariant set
zbMATH Keywords: periodic uniform forward attractor
zbMATH Keywords: general dynamical systems
zbMATH Keywords: differential inclusions
zbMATH Keywords: perturbations
zbMATH Keywords: robustness
zbMATH Keywords: small time delay
MaRDI profile type: Publication
full work available at URL: s11228-012-0212-5
OpenAlex ID: W2127326430
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DOI: 10.1007/S11228-012-0212-5
description: scientific article; zbMATH DE number 6121904