74 citations · 195 across the 43 of their papers we have counts for
6 papers · 1 filter
Domain structured chaos for discrete random processes
Marat Akhmet
We introduce the notion of domain-structured chaos and apply it to establish a connection between stochastic dynamics and deterministic chaos.
A randomly determined unpredictable function
Marat Akhmet, Mehmet Onur Fen, Ejaily Milad Alejaily
In this paper, we construct a new unpredictable function. Our approach is based on adapting the concept of symbolic dynamics to introduce a map on the space of infinite sequences g…
Chaos on the Multi-Dimensional Cube
Marat Akhmet, Ejaily Milad Alejaily
In this article, we show that a chaotic behavior can be found on a cube with arbitrary finite dimension. That is, the cube is a quasi-minimal set with Poincare chaos. Moreover, the…
Abstract Fractals
Marat Akhmet, Ejaily Milad Alejaily
We develop a new definition of fractals which can be considered as an abstraction of the fractals determined through self-similarity. The definition is formulated through imposing…
Abstract Similarity, Fractals and Chaos
Marat Akhmet, Ejaily Milad Alejaily
To prove presence of chaos for fractals, a new mathematical concept of abstract similarity is introduced. As an example, the space of symbolic strings on a finite number of symbols…
The Sequential Test for Chaos
Marat Akhmet, Mehmet Onur Fen, Astrit Tola
This paper reveals a novel numerical method, the sequential test, which approves chaos through sequences of numbers observations. The method alights alongside the Lyapunov exponent…