Existence and partial characterization of the global attractor for the sunflower equation
type: Item
instance of: scholarly article
title: Existence and partial characterization of the global attractor for the sunflower equation
zbMATH Open document ID: 0831.34056
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-06-19T00:00:00Z
review text: Consider the sunflower equation \((*)\) \(\varepsilon x'' + ax'(t) + b \sin x (t -\varepsilon) = 0\) as retarded functional differential equation on the cylinder \(S^1 \times R\). The author proves: (i) For \(\varepsilon \geq 0\), \((*)\) has a connected global attractor \(S_\varepsilon\) which is upper semicontinuous in \(\varepsilon\). (ii) For \(\varepsilon \in [0, {a \over b}]\), \(S_\varepsilon\) is homeomorphic to \(S^1\).
Mathematics Subject Classification ID: 34D45
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 765108
zbMATH Keywords: sunflower equation
zbMATH Keywords: retarded functional differential equation
zbMATH Keywords: global attractor
author: Marcos Lizana
reviewed by: Klaus R. Schneider
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1061
OpenAlex ID: W2049681438
DOI: 10.1006/JMAA.1995.1061
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description: scientific article; zbMATH DE number 765108