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Journal Articles Nonlinearity Year : 2014

Asymptotically periodic piecewise contractions of the interval

Abstract

We consider the iterates of a generic injective piecewise contraction of the interval defined by a finite family of contractions. Let $\phi_i:[0,1]\to (0,1)$, $1\le i\le n$, be $C^2$-diffeomorphisms with $\sup_{x\in (0,1)} \vert D\phi_i(x)\vert<1$ whose images $\phi_1([0,1]), \ldots, \phi_n([0,1])$ are pairwise disjoint. Let $0

Dates and versions

hal-01341987 , version 1 (05-07-2016)

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Arnaldo Nogueira, Benito Pires, Rafael A. Rosales. Asymptotically periodic piecewise contractions of the interval. Nonlinearity, 2014, 27 (7), pp.1603--1610. ⟨10.1088/0951-7715/27/7/1603⟩. ⟨hal-01341987⟩
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