Iterates of Piecewise Monotone Mappings on an Interval

Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course in (...

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Bibliografische gegevens
Hoofdauteur: Preston, Christopher J., 1944-
Formaat: Livre numérique
Taal:Anglais
Gepubliceerd in: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Reeks:Lecture notes in mathematics 1347
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Edition sous un autre format:• Iterates of piecewise monotone mappings on an interval, Chris Preston, 1988, Berlin, Springer-Verlag, 1 volume (166 pages), Lecture notes in mathematics, 0-387-50329-3
• Iterates of Piecewise Monotone Mappings on an Interval, Texte imprimé, 9783662180075
Omschrijving
Samenvatting:Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course in (one-dimensional) real analysis. The account concentrates on the topological (as opposed to the measure theoretical) aspects of the theory of piecewise monotone mappings. As well as offering an elementary introduction to this theory, these notes also contain a more advanced treatment of the problem of classifying such mappings up to topological conjugacy.
Beschrijving item:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540459712 (PDF)
ISSN:1617-9692
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