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math.DS2025
Compact non-uniformizable Li-Yorke chaotic dynamical systems via an example
Mehrnaz Pourattar, Fatemah Ayatollah Zadeh Shirazi
The main aim of this paper is extending the concept of scambled pair and Li--Yorke chaos to non--uniform compact dynamical systems. We show for finite (compact Alexandroff) topolog…
math.DS2025
Topological Stability and Shadowing in Uniform Transformation Semigroups Modulo an Ideal
F. Ayatollah Zadeh Shirazi, E. Hakimi, A. Hosseini +1
In this paper, we introduce and analyze several key dynamical properties-namely shadowing modulo an ideal, expansivity modulo an ideal, and topological stability modulo an ideal-wi…