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

Alpha Unpredictable Cohen–Grossberg Neural Networks with Poisson Stable Piecewise Constant Arguments Akhmet, Marat; Nugayeva, Zakhira; Seilova, Roza (2025-04-01) There are three principal novelties in the present investigation. It is the first time Cohen–Grossberg-type neural networks are considered with the most general delay and advanced piecewise constant arguments. The model is...
Ultra Poincaré Chaos and Alpha Labeling Akhmet, Marat (Iop Publishing Ltd, 2025-01-01)
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...
Artificial Neural Networks: Alpha Unpredictability and Chaotic Dynamics Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek; Nugayeva, Zakhira (Springer Nature Switzerland, 2024-01-01)
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 ...
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 ...

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