Spectrum of a dynamical system and applied symbolic dynamics
type: Item
instance of: scholarly article
title: Spectrum of a dynamical system and applied symbolic dynamics
zbMATH Open document ID: 0984.37012
author: G. S. Osipenko
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-05-12T00:00:00Z
review text: The paper deals with the Morse spectrum of a dynamical system on a vector bundle and presents a constructive method for localization of the Morse spectrum. This method does not require any preliminary information on a system and allows to associate an induced dynamical system on the projective bundle with a symbolic image. Using the symbolic image (more precisely a special sequence of symbolic images) the author obtains a sequence of embedded neighborhoods which converges to the Morse spectrum.
Mathematics Subject Classification ID: 37B10
Mathematics Subject Classification ID: 37C05
Mathematics Subject Classification ID: 37D20
zbMATH DE Number: 1563082
zbMATH Keywords: symbolic dynamics
zbMATH Keywords: Morse spectrum
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: jmaa.2000.7004
OpenAlex ID: W2062936892
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DOI: 10.1006/JMAA.2000.7004
description: scientific article; zbMATH DE number 1563082