Department of Mathematics
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Synchronization of chaos in semiconductor gas discharge model with local mean energy approximation
Akhmet, Marat; Yeşil, Cihan; Başkan, Kağan (2023-02-01)
© 2022The 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 di...
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)
© 2023, SINUS Association. All rights reserved.An unpredictable solution is found for a quasilinear differential equation with generalized piece-wise constant argument (EPCAG). Sufficient conditions are provided for the ex...
Dynamics of Hopfield-Type Neural Networks with Modulo Periodic Unpredictable Synaptic Connections, Rates and Inputs
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2022-11-01)
In this paper, we rigorously prove that unpredictable oscillations take place in the dynamics of Hopfield-type neural networks (HNNs) when synaptic connections, rates and external inputs are modulo periodic unpredictable. ...
Poisson Stability in Symmetrical Impulsive Shunting Inhibitory Cellular Neural Networks with Generalized Piecewise Constant Argument
Akhmet, Marat; Tleubergenova, Madina; Seilova, Roza; Nugayeva, Zakhira (2022-09-01)
In the paper, shunting inhibitory cellular neural networks with impulses and the generalized piecewise constant argument are under discussion. The main modeling novelty is that the impulsive part of the systems is symmetri...
Delta synchronization of Poincare chaos in gas discharge-semiconductor systems
Akhmet, Marat; Baskan, Kagan; Yeşil, Cihan (2022-08-01)
We introduce a new type of chaos synchronization, specifically the delta synchronization of Poincare chaos. The method is demonstrated for the irregular dynamics in coupled gas discharge-semiconductor systems (GDSSs). It i...
Dynamics of Shunting Inhibitory Cellular Neural Networks with Variable Two-Component Passive Decay Rates and Poisson Stable Inputs
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2022-06-01)
Shunting inhibitory cellular neural networks with continuous time-varying rates and inputs are the focus of this research. A new model is considered with compartmental passive decay rates which consist of periodic and Pois...
Almost Periodic Solutions of Recurrently Structured Impulsive Neural Networks
Akhmet, Marat; Erim, Gülbahar (2022-01-01)
©2022 L&H Scientific Publishing, LLC. All rights reserved.The model under discussion is an elaborated recurrent impulsive neural network. This is the first time in literature that the impacts are structured completely as t...
Unpredictable Solutions of Impulsive Quasi-Linear Systems
Akhmet, Marat; Tleubergenova, Madina; Nugayeva, Zakhira (2022-01-01)
© 2022. L&H Scientific Publishing, LLC. All Rights Reserved.The impulsive differential equations with unpredictable perturbations are under investigation. The definition of the discontinuous unpredictable function with the...
Modular Chaos for Random Processes
Akhmet, Marat (2022-1-01)
In the present paper, an essential generalization of the symbolic dynamics is considered. We apply the notions of abstract self-similar sets and the similarity map for a chaos introduction, which orbits are expanded among ...
Abstract Hyperbolic Chaos
Akhmet, Marat (2022-01-01)
The abstract hyperbolic sets are introduced. Continuous and differentiable mappings as well as rate of convergence and transversal manifolds are not under discussion, and the symbolic dynamics paradigm is realized in a new...
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