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
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https://hal.science/hal-01341987
Submitted on : Tuesday, July 5, 2016-11:25:31 AM
Last modification on : Friday, March 24, 2023-2:53:02 PM
Dates and versions
Identifiers
- HAL Id : hal-01341987 , version 1
- ARXIV : 1310.5784
- DOI : 10.1088/0951-7715/27/7/1603
Cite
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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