On periodic solutions inside isolating chains
type: Item
instance of: scholarly article
title: On periodic solutions inside isolating chains
zbMATH Open document ID: 0970.34038
author: Roman Srzednicki
published in: Journal of Differential Equations
publication date: 2001-10-21T00:00:00Z
review text: The author studies harmonics to nonautonomous ordinary differential equations. He develops a geometric technique allowing him to verify periodic orbits inside the union of continuous isolating segments (resembling isolating blocks). The main result allows him to compute the Lefschetz number of certain homomorphisms determined by these segments as a fixed-point index of the associated Poincaré maps. As a nontrivial application, some illustrating examples are given.
reviewed by: Jan Andres
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 1538229
zbMATH Keywords: periodic solutions
zbMATH Keywords: isolating chains
zbMATH Keywords: Lefschetz number
zbMATH Keywords: fixed-point index
zbMATH Keywords: existence
zbMATH Keywords: multiplicity
MaRDI profile type: Publication
full work available at URL: jdeq.2000.3764
OpenAlex ID: W1972951517
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DOI: 10.1006/JDEQ.2000.3764
description: scientific article; zbMATH DE number 1538229