3 papers
math.DS2022
Topological sequence entropy and topological dynamics of tree maps
Aymen Daghar, Jose S. Canovas
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.…
math.DS2021
Nonwandering sets and special -limit sets of monotone maps on regular curves
Aymen Daghar, Habib Marzougui
Let be a regular curve and let be a monotone map. In this paper, nonwandering set of and the structure of special -limit sets for are investigated. We sh…
math.DS2021
On Limit sets of Monotone maps on Regular curves
Aymen Daghar, Habib Marzougui
We investigate the structure of -limit (resp. -limit) sets for a monotone map on a regular curve . %Let be a regular curve and let $f: X\longrightarrowX$ be a mono…