Topological sequence entropy and topological dynamics of tree maps
Dynamical Systems
2022-04-28 v1
Abstract
We prove that a zero topological entropy continuous tree map always displays zero topological sequence entropy when it is restricted to its non-wandering and chain recurrent sets. In addition, we show that a similar result is not possible when the phase space is a dendrite even when we consider only the restriction on the set of periodic points.
Cite
@article{arxiv.2204.13000,
title = {Topological sequence entropy and topological dynamics of tree maps},
author = {Aymen Daghar and Jose S. Canovas},
journal= {arXiv preprint arXiv:2204.13000},
year = {2022}
}