A recurrent set for one-dimensional dynamical systems

Year 2018, Volume: 47 Issue: 1, 1 - 7, 01.02.2018

Seyyed Alireza Ahmadi

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.

Keywords

Recurrent set, Chain recurrent set, Absolutely continuous map, Inverse limit space

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