Dynamics of piecewise contractions of the interval-Reference-Cited by-同舟云学术

Dynamics of piecewise contractions of the interval

Published:2014-07-03 Issue:7 Volume:35 Page:2198-2215
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

NOGUEIRA ARNALDO,PIRES BENITO^ORCID

Abstract

We study the long-term behavior of injective piecewise contractions of the interval. We prove that every injective piecewise contraction with

$n-1$

discontinuities has at most

$n$

periodic orbits and is topologically conjugate to a piecewise linear contraction.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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