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 (...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile nagusia: Preston, Christopher J., 1944-
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Saila:Lecture notes in mathematics 1347
Gaiak:
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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
Aurkibidea:
  • 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.