Topological dynamics of piecewise {\lambda}-affine maps

Topological dynamics of piecewise {\lambda}-affine maps

Let \(-1

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Veröffentlicht in:arXiv.org 2016-05
Hauptverfasser: Nogueira, Arnaldo, Pires, Benito, Rosales, Rafael A
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Mathematics - Dynamical Systems
Orbits
Real numbers
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We prove that, for Lebesgue almost every \(\delta\in\mathbb{R}\), the map \(f_{\delta}=f+\delta\,({\rm mod}\,1)\) is asymptotically periodic. More precisely, \(f_{\delta}\) has at most \(2n\) periodic orbits and the \(\omega\)-limit set of every \(x\in [0,1)\) is a periodic orbit.]]></description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1605.03470</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Mathematics - Dynamical Systems ; Orbits ; Real numbers</subject><ispartof>arXiv.org, 2016-05</ispartof><rights>2016. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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We prove that, for Lebesgue almost every \(\delta\in\mathbb{R}\), the map \(f_{\delta}=f+\delta\,({\rm mod}\,1)\) is asymptotically periodic. 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Real numbers
title Topological dynamics of piecewise {\lambda}-affine maps
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