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

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发表于 2025-3-21 16:20:18 | 显示全部楼层 |阅读模式
期刊全称Artificial Neural Networks
期刊简称Alpha Unpredictabili
影响因子2023Marat Akhmet,Madina Tleubergenova,Zakhira Nugayeva
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发行地址Presents new results on Hopfield, Cohen-Grossberg, shunting inhibitory cellular and inertial neural networks dynamics.Shows how unique alpha unpredictable functions can indicate the ultra Poincaré cha
图书封面Titlebook: Artificial Neural Networks; Alpha Unpredictabili Marat Akhmet,Madina Tleubergenova,Zakhira Nugayeva Book 2025 The Editor(s) (if applicable)
影响因子.Mathematical chaos in neural networks is a powerful tool that reflects the world’s complexity and has the potential to uncover the mysteries of the brain’s intellectual activity. Through this monograph, the authors aim to contribute to modern chaos research, combining it with the fundamentals of classical dynamical systems and differential equations. The readers should be reassured that an in-depth understanding of chaos theory is not a prerequisite for working in the area designed by the authors. Those interested in the discussion can have a basic understanding of ordinary differential equations and the existence of bounded solutions of quasi-linear systems on the real axis. ..Based on the novelties, this monograph aims to provide one of the most powerful approaches to studying complexities in neural networks through mathematical methods in differential equations and, consequently, to create circumstances for a deep comprehension of brain activity and artificial intelligence. A large part of the book consists of newly obtained contributions to the theory of recurrent functions, Poisson stable, and alpha unpredictable solutions and ultra Poincaré chaos of quasi-linear and strongly
Pindex Book 2025
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发表于 2025-3-21 21:49:26 | 显示全部楼层
发表于 2025-3-22 02:41:06 | 显示全部楼层
Cohen-Grossberg Neural Networks,utputs of the models. They are specified for Poisson stability by utilizing the unique method of included intervals. By numerical and graphical analysis, it is shown how a constructive technical characteristic, the degree of periodicity, reflects the contributions of the ingredients in the final outputs of the neural networks.
发表于 2025-3-22 08:30:58 | 显示全部楼层
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发表于 2025-3-22 13:55:00 | 显示全部楼层
Preliminaries,de, introducing critical theorems and lemmas, which are instrumental for exploring neural networks in the subsequent chapters. It begins with discussing the basic properties and types of functions encountered in this work, emphasizing their roles in modeling dynamic systems. Key concepts such as Poi
发表于 2025-3-22 21:01:00 | 显示全部楼层
Hopfield-Type Neural Networks,l equations outlined in Preliminaries. The start model is with modulo-periodic alpha unpredictable synaptic connections, rates, and external inputs. They synchronize to ensure the output convergence on compact subsets of the real axis as Poisson stability requires. Subsequently, impulsive neural net
发表于 2025-3-22 22:41:33 | 显示全部楼层
发表于 2025-3-23 02:18:22 | 显示全部楼层
Inertial Neural Networks with Discontinuities,ly, the investigation focuses on a specific neural network architecture, where the impulse structure replicates that of rates. This choice mirrors real-world system behavior, where voltage typically exhibits smooth continuity but occasionally undergoes sudden changes due to factors like switches, su
发表于 2025-3-23 07:50:54 | 显示全部楼层
Cohen-Grossberg Neural Networks, model with variable inputs and strengths of connectivity, which are alpha unpredictable or Poisson stable functions. A method of reducing a nonlinear model into quasi-linear systems using an integral transformation is presented. This approach helps analyze complex nonlinear systems, making applying
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