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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 1

A recurrent set for one-dimensional dynamical systems

Seyyed Alireza Ahmadi
Sayfa
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Yayın Tarihi
2018-02-01
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This set is not necessarily invariant under continuous conjugacies, but it is invariant under absolutely continuous ones.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this note we introduce a new kind of recurrent set for a dynamical system on the interval [0,1].
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Temel Bulgular & Veri:In this note we introduce a new kind of recurrent set for a dynamical system on the interval [0,1].
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Sonuç & Katkı:This set is not necessarily invariant under continuous conjugacies, but it is invariant under absolutely continuous ones.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Recurrent set · Chain recurrent set · Absolutely continuous map

Abstract

In this note we introduce a new kind of recurrent set for a dynamical system on the interval [0,1]. This set is not necessarily invariant under continuous conjugacies, but it is invariant under absolutely continuous ones.

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Bu Makaleye Atıf Yap

Ahmadi, S. A. (2018). A recurrent set for one-dimensional dynamical systems. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 1. https://ajindex.com/articles/1402963

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Kaynakça (9)

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  7. T. Shimomura. Special homeomorphisms and approximation for cantor systems. Topology and its Applications, 161:178 – 195, 2014.
  8. S. Spataru. An absolutely continuous function whose inverse functionis not absolutely continuous. Note di Matematica, 23(1):47–49, 2004.
  9. X. Wen and L. Wen. Codimension one structurally stable chain classes. Transactions of the American Mathematical Society, 368(6):3849–3870, 2016.