Nonautonomous bifurcation of bounded solutions. II: A shovel-bifurcation pattern
type: Item
instance of: scholarly article
title: Nonautonomous bifurcation of bounded solutions. II: A shovel-bifurcation pattern
zbMATH Open document ID: 1258.37029
published in: Discrete and Continuous Dynamical Systems
publication date: 2011-12-13T00:00:00Z
review text: The theory of non-autonomous bifurcation is receiving much research in the last years. This paper is a nice contribution to this interesting area. In particular, the author shows the bifurcation phenomena when a dominant spectral interval crosses the stability boundary. This fact produces a two-step bifurcation scenario, following previous results studied in the random case. Bifurcations are understood as a change in the number od bounded complete solutions as the parameter changes.
Mathematics Subject Classification ID: 37C60
Mathematics Subject Classification ID: 39A28
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 37G10
zbMATH DE Number: 5988161
zbMATH Keywords: nonautonmous bifurcation
zbMATH Keywords: exponential dichotomy
zbMATH Keywords: exponential trichotomy
zbMATH Keywords: dichotomy spectrum
zbMATH Keywords: shovel bifurcation
zbMATH Keywords: strongly center integral manifold
author: Christian Pötzsche
reviewed by: J. A. Langa
MaRDI profile type: Publication
full work available at URL: dcds.2011.31.941
OpenAlex ID: W2312256510
DOI: 10.3934/DCDS.2011.31.941
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description: scientific article; zbMATH DE number 5988161