Department of Mathematics, Islamic Azad University, Bardsir Branch, 76169–14111, Iran
M.R. Molaei
In this paper: In this paper the notion of time as an algebraic object in the system theory is considered. Quasi-limit sets for semi-dynamical systems as the invariant objects under topological conjugate relations a...
M.R. Molaei, B. Ghazanfari
In this paper: In this paper the notion of topological conjugacy from the viewpoint of an observer is considered. Relative minimality, relative transitivity and relative expansiveness are studied. It is proved that:...
M.R. Molaei, T. Waezizadeh
In this paper: In this paper by using of semi-bornnology the notion of semi-bornological attractors for semi-dynamical systems is studied. It is proved that: this concept of attractor is invariant up to a special ki...
M.R. Molaei
In this paper: Dynamically defined topological pressure as an extension of the notion of topological pressure for a non compact metric space with a semidynamics is presented. The semi-dynamics of the state space is...
A. Iloonkashkooly, M.R. Molaei
In this paper: In this paper by using of immersed hypergroups and hyperdynamical systems the notion of immersed hyperdynamical system is considered. Quotient immersed hyperdynamical systems are studied.
H. Molaei, M.R. Molaei
In this paper: In this paper by using a special kind of dynamics on a metric space, the notion of topological entropy is developed. The independence of ”dynamically defined topological entropy” of the choice of base...
M.R. Molaei, B. Ghazanfari
In this paper: In this paper the notion of relative entropy for a finite relative partition is considered. Relative measure preserving map on a relative probability space with a constant observer is studied. The not...
M.R. Molaei
In this paper: In this paper a model for the concept of bornology from the point of view of an observer is presented. By the use of relative bornological spaces, the notion of attractor for relative semi-dynamical s...
M.R. Molaei
In this paper: Santilli’s extension of Lie bracket was the reason of isotheory. In this paper by the use of isomanifold, and top isospaces the Lie-Santilli algebra from isotheory is deduced. The notion of top isospa...
M.R. Molaei
In this paper: In this paper a mathematical model for a one-dimensional observer by the use of fuzzy sets is studied. A realistic approach to the problem of unity by using of relative metrics on relative manifolds i...
M.R. Molaei
In this paper: In this paper generalized vector fields are studied. The notion of left invariant vector fields is extended by the use of top spaces. As a result a new kind of dynamics is extrapolated. By the topolog...
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