E-mail
marat@metu.edu.tr
Department
Department of Mathematics
Scopus Author ID
Web of Science Researcher ID
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 ...
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...
Compartmental Unpredictable Functions
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2023-03-01)
There is a huge family of recurrent functions, which starts with equilibria and ends with Poisson stable functions. They are fundamental in theoretical and application senses, and they admit a famous history. Recently, we ...
Synchronization of chaos in semiconductor gas discharge model with local mean energy approximation
Akhmet, Marat; Yeşil, Cihan; Başkan, Kağan (2023-02-01)
The delta synchronization is a useful method to analyze appearance of chaotic synchronization in gas discharge systems. In recent studies, the generalized synchronization method has been implemented in various gas discharg...
Unpredictable solutions of quasilinear differential equations with generalized piecewise constant arguments of mixed type
Tleubergenova, Madina; Çinçin, Duygu Aruğaslan; Nugayeva, Zakhira; Akhmet, Marat (2023-01-01)
An unpredictable solution is found for a quasilinear differential equation with generalized piece-wise constant argument (EPCAG). Sufficient conditions are provided for the existence, uniqueness and exponential stability o...
A novel criterion for unpredictable motions
FEN, FATMA; Fen, Mehmet Onur; Akhmet, Marat (2023-01-01)
We demonstrate the extension of unpredictable motions in coupled autonomous systems with skew product structure in the case that generalized synchronization takes place. Sufficient conditions for the existence of unpredict...
A Numerical Analysis of Poincare Chaos
Akhmet, Marat; Fen, Mehmet Onur; Tola, Astrit (2023-01-01)
This paper reveals a new way to indicate the presence of chaos in continuous-time models, beside other techniques such as the method of Lyapunov exponents and bifurcation diagrams. The sequential test confirms the existenc...
Citation Formats