Marat Akhmet

E-mail

marat@metu.edu.tr

Department

Department of Mathematics

ORCID

0000-0002-2985-286X

Scopus Author ID

6506071803

Web of Science Researcher ID

ABA-2157-2020

Markovian noise-induced delta synchronization approach for Hindmarsh–Rose model Akhmet, Marat; Başkan, Kağan; Yeşil, Cihan (2024-08-01) The paper explores noise-induced synchronization in uncoupled Hindmarsh–Rose neurons, introducing two distinctive elements: the application of Markovian noise and an analysis of synchronization via unpredictability. The no...
ASYMPTOTIC EXPANSION OF THE SOLUTION FOR SINGULAR PERTURBED LINEAR IMPULSIVE SYSTEMS Dauylbayev, M.K.; Akhmet, Marat; Aviltay, N. (2024-06-30) In this study, a singularly perturbed linear impulsive system with singularly perturbed impulses is considered. Many books discuss different types of singular perturbation problems. In the present work, an impulse system i...
Dynamics of Symmetrical Discontinuous Hopfield Neural Networks with Poisson Stable Rates, Synaptic Connections and Unpredictable Inputs Akhmet, Marat; Nugayeva, Zakhira; Seilova, Roza (2024-06-01) The purpose of this paper is to study the dynamics of Hopfield neural networks with impulsive effects, focusing on Poisson stable rates, synaptic connections, and unpredictable external inputs. Through the symmetry of impu...
Application of Genetic Algorithms for Periodicity Recognition and Finite Sequences Sorting Zhassuzak, Mukhtar; Akhmet, Marat; Amirgaliyev, Yedilkhan; Buribayev, Zholdas (2024-03-01) Unpredictable strings are sequences of data with complex and erratic behavior, which makes them an object of interest in various scientific fields. Unpredictable strings related to chaos theory was investigated using a gen...
Unpredictable solutions of compartmental quasilinear differential equations Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2024-01-01) In the present research, quasilinear differential equations with compartmental periodic unpredictable coefficients and perturbations are investigated. The compartmental periodic unpredictable functions present a new type o...
Cohen-Grossberg neural networks with unpredictable and Poisson stable dynamics Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2024-01-01) In this paper, we provide theoretical as well as numerical results concerning recurrent oscillations in Cohen-Grossberg neural networks with variable inputs and strengths of connectivity for cells, which are unpredictable ...
Asymptotic solutions of differential equations with singular impulses Aviltay, Nauryzbay; Akhmet, Marat; Zhamanshin, Akylbek (2024-01-01) The paper considers impulsive systems with singularities. The main novelty is that beside the singularity of the differential equation, the impulsive equation is a singular one. The method of boundary functions is applied ...
Symmetrical Impulsive Inertial Neural Networks with Unpredictable and Poisson-Stable Oscillations Akhmet, Marat; Tleubergenova, Madina; Seilova, Roza; Nugayeva, Zakhira (2023-10-01) This paper explores the novel concept of discontinuous unpredictable and Poisson-stable motions within impulsive inertial neural networks. The primary focus is on a specific neural network architecture where impulses mimic...
Unpredictable and Poisson Stable Oscillations of Inertial Neural Networks with Generalized Piecewise Constant Argument Akhmet, Marat; Tleubergenova, Madina; Nugayeva, Zakhira (2023-04-01) A new model of inertial neural networks with a generalized piecewise constant argument as well as unpredictable inputs is proposed. The model is inspired by unpredictable perturbations, which allow to study the distributio...
Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2023-03-01) Shunting inhibitory cellular neural networks with compartmental periodic unpredictable coefficients and inputs is the focus of this research. A new algorithm is suggested, to enlarge the set of known unpredictable function...

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