Titlebook: Artificial Neural Networks; Alpha Unpredictabili Marat Akhmet,Madina Tleubergenova,Zakhira Nugayeva Book 2025 The Editor(s) (if applicable)

slow-wave-sleep

Introduction,of the models for neuroscience is made. Throughout the book, the significance of discontinuous models will be emphasized several times. Besides regular recurrence, an alpha unpredictable motion was recently created to join what is known as chaos, if having a classical dynamical systems background, f

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Hopfield-Type Neural Networks,and the satisfaction of the original ideas of J. Hopfield. Finally, the chapter extends the method for studying alpha unpredictable oscillations to neural networks with piecewise constant arguments. The theoretical foundation of the analysis relies on the method of included intervals, which is exten

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Shunting Inhibitory Cellular Neural Networks,llations. The synchronization of convergence sequences for the rates and inputs yields the required outputs. The exploration extends to shunting inhibitory cellular neural networks with impulses, a piecewise constant argument, and symmetry between the impulsive and differential components of the mod

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Exposition

Andrew L Alexander,Nancy J Lobaughof the models for neuroscience is made. Throughout the book, the significance of discontinuous models will be emphasized several times. Besides regular recurrence, an alpha unpredictable motion was recently created to join what is known as chaos, if having a classical dynamical systems background, f

neologism

https://doi.org/10.1007/978-3-540-71512-2quations, impulsive systems, and differential equations with piecewise constant arguments subjected to irregular perturbations. Theoretical frameworks and methods for analyzing these solutions are presented, emphasizing the role of .-topology in demonstrating the presence of alpha unpredictable solu

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Ischemic-Stroke

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https://doi.org/10.1007/978-1-4615-2375-8table oscillations are demonstrated for both models. The method of included intervals is extended, to analyze the Poisson stability of motions with discontinuities. In the model featuring a piecewise constant argument, solutions appear as continuous functions with discontinuous derivatives. The theo