A recurrent set for one-dimensional dynamical systems

Authors : Seyyed Alireza AHMADİ

Pages : 1-7

View : 14 | Download : 5

Publication Date : 2018-02-01

Article Type : Research Paper

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