Articoli correlati a Iterates of Piecewise Monotone Mappings on an Interval...

Iterates of Piecewise Monotone Mappings on an Interval (Lecture Notes in Mathematics): 1347 - Brossura

Preston, Chris

 
9783540503293: Iterates of Piecewise Monotone Mappings on an Interval (Lecture Notes in Mathematics): 1347
Brossura
ISBN 10: 3540503293 ISBN 13: 9783540503293
Casa editrice: Springer, 1988

Sinossi

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.

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Contenuti

Piecewise monotone mappings.- Proof of Theorems 2.4 and 2.5.- Sinks and homtervals.- Examples of register-shifts.- A proof of Parry's theoren (Theorem 2.6).- Reductions.- The structure of the set D(f).- Countable closed invariant sets.- Extensions.- Refinements.- Mappings with one turning point.- Some miscellaneous results from real analysis.

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Editore
Springer
Data di pubblicazione
1988
Lingua
Inglese
ISBN 10 
3540503293
ISBN 13 
9783540503293
Rilegatura
Copertina flessibile
Numero di pagine
180
Contatto del produttore
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