- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 1
- A recurrent set for one-dimensional dynamical systems
A recurrent set for one-dimensional dynamical systems
Authors : Seyyed Alireza Ahmadi
Pages : 1-7
View : 7 | Download : 3
Publication Date : 2018-02-01
Article Type : Research
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