3 citations · 8 across the 17 of their papers we have counts for
10 papers · 1 filter
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…
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…
Li-Yorke and Devaney chaotic uniform dynamical systems amongst weighted shifts
Fatemah Ayatollah Zadeh Shirazi, Elaheh Hakimi, Arezoo Hosseini +1
In this paper, for finite discrete field , nonempty set , weight vector and weighted generalized shift $σ_{φ,{\mathfrak w}}:F^…
On proximal relations in transformation semigroups arising from generalized shifts
Fatemah Ayatollah Zadeh Shirazi, Amir Fallahpour, Mohammad Reza Mardanbeigi +1
For a finite discrete topological space with at least two elements, a nonempty set , and a map , with (for…
On Li--Yorke chaotic transformation groups modulo an ideal
Mehrnaz Pourattar, Fatemah Ayatollah Zadeh Shirazi
In the following text we introduce the notion of chaoticity modulo an ideal in the sense of Li-Yorke in topological transformation semigroups and bring some of its elementary prope…
On generalized shift transformation semigroups
Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar
In the following text we prove that for finite discrete with at least two elements and infinite , the generalized shift transformation semigroup is equi…
Set-theoretical entropies of generalized shifts
Zahra Nili Ahmadabadi, Fatemah Ayatollah Zadeh Shirazi
In the following text for arbitrary with at least two elements, nonempty set and self-map we prove the set-theoretical entropy of generalized shift $σ_φ:X^Γ\to X^…
On a class between Devaney chaotic and Li-Yorke chaotic generalized shift dynamical systems
Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar, Maryam Hagh Jooyan +1
In the following text, for finite discrete with at least two elements, nonempty countable , and we prove the generalized shift dynamical system is dens…
Distributional chaotic generalized shifts
Zahra Nili Ahmadabadi, Fatemah Ayatollah Zadeh Shirazi
Suppose is a finite discrete space with at least two elements, is a nonempty countable set, and consider self--map . We prove that the generalized shift $σ_φ:X^Γ\t…
Specification properties on uniform spaces
Fatemah Ayatollah Zadeh Shirazi, Zahra Nili Ahmadabadi, Bahman Taherkhani +1
In the following text we introduce specification property (stroboscopical property) for dynamical systems on uniform space. We focus on two classes of dynamical systems: generalize…