9 papers
Countable IET Models and Defect Sets for Interval Translation Maps
Sergey Kryzhevich, Khosro Tajbakhsh, Reza Yaghmaeian
Interval translation maps are piecewise translations for which the images of distinct continuity intervals may overlap. We study when their measured dynamics can be represented by…
Residual fertility and delay in sterile insect population dynamics
Ruqaya Hussein, Sergey Kryzhevich, Khosro Tajbakhsh
The sterile insect technique controls mosquito-borne diseases such as malaria, dengue, and yellow fever through either eradication or depressing the associated vector population. W…
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…
Dynamics of Performances in a Competitive Model
Gholam Reza Rokni Lamouki, Mahmoud Soufbaf, Khosro Tajbakhsh
A competitive resource-consumer dynamical model is analyzed based on an integrated model of a competitive Lotka-Volterra model and a prey-predator Rosenzweig-MacArthur model that w…
Dynamics of Systems with a Discontinuous Hysteresis Operator and Interval Translation Maps
Sergey Kryzhevich, Viktor Avrutin, Nikita Begun +2
We studied topological and metric properties of the so-called interval translation maps (ITMs). For these maps, we introduced the maximal invariant measure and study its properties…
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…
Minimum edge cuts of distance-regular and strongly regular digraphs
S. Ashkboos, G. R. Omidi, F. Shafiei +1
In this paper, we show that the edge connectivity of a distance-regular digraph with valency is and for , any minimum edge cut of is the set of all edges going…
Classification of special Anosov endomorphisms of nil-manifolds
Seyed Mohsen Moosavi, Khosro Tajbakhsh
In this paper we give a classification of special endomorphisms of nil-manifolds: Let be a covering map of a nil-manifold and denote by $A:N/Γ\rightarrow N/Γ…
Topology of pre-images under Anosov endomorphisms
Mohammad saeed Azimi, Khosro Tajbakhsh
For an endomorphism it is known that if all the points in the manifold have dense sets of pre-images then the dynamical system is transitive. The inverse has been shown for a resid…