74 citations · 195 across the 43 of their papers we have counts for
51 papers
Integral of an alpha unpredictable function
M. U. Akhmet, N. Tilessov
The present paper is devoted to the study of integral properties of alpha unpredictable functions. The problem of invariance of recurrence under integration is one of the most chal…
Almost Periodicity in Exponential Dichotomous Linear Dynamics with Piecewise Constant Argument
Marat Akhmet, Furkan Duraner
The paper examines an inhomogeneous system of differential equations with generalized piecewise constant arguments. The focus of the research is on the almost periodicity of both t…
How one can assess the chaos?
Marat Akhmet
We propose an uncertainty principle for chaos, focusing on two key characteristics: alpha unpredictability and Lorenz sensitivity. This principle outlines a limitation on the relat…
Cohen-Grossberg neural networks with unpredictable and Poisson stable dynamics
Marat Akhmeta, Madina Tleubergenovab, Akylbek Zhamanshin
In this paper, Cohen-Grossberg neural networks with unpredictable and compartmental periodic unpredictable strengths of connectivity between cells and inputs are investigated. To a…
Unpredictable solutions of Duffing type equations with Markov coefficients
Marat Akhmet, Madina Tleubergenova, Akylbek Zhamanshin
The paper considers a stochastic differential equation of Duffing type with Markov coefficients. The existence of unpredictable solutions is considered. The unpredictability is a p…
A Novel Criterion for Unpredictable Motions
Fatma Tokmak Fen, Mehmet Onur Fen, Marat Akhmet
We demonstrate the extension of unpredictable motions in coupled autonomous systems with skew product structure in the case that generalized synchronization takes place. Sufficient…