Recent results on the stability of time dependent sets and their application to bifurcation problems
type: Item
instance of: scholarly article
title: Recent results on the stability of time dependent sets and their application to bifurcation problems
zbMATH Open document ID: 1211.34068
DOI: 10.4171/RLM/562
author: Luigi Salvadori
author: Francesca Visentin
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2010-04-23T00:00:00Z
full work available at URL: http://www.ems-ph.org/journals/journal.php
review text: This paper contains several results on the relationship between conditional and unconditional stability of time-dependent sets of ordinary differential equations. Here, the unconditional stability properties of an invariant set depend on stability properties of a larger set. This dependence is analyzed first in the general and then in the period case. The results are finally applied to bifurcation problems for periodic differential equations.
reviewed by: Martin Rasmussen
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C45
zbMATH DE Number: 5700403
zbMATH Keywords: invariance
zbMATH Keywords: first integrals
zbMATH Keywords: stability properties of sets
zbMATH Keywords: bifurcation
MaRDI profile type: Publication
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OpenAlex ID: W2029991187
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description: scientific article; zbMATH DE number 5700403