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Keywords = modulo periodic unpredictable synaptic connections

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Article
Dynamics of Hopfield-Type Neural Networks with Modulo Periodic Unpredictable Synaptic Connections, Rates and Inputs
by Marat Akhmet, Madina Tleubergenova and Akylbek Zhamanshin
Entropy 2022, 24(11), 1555; https://doi.org/10.3390/e24111555 - 29 Oct 2022
Cited by 2 | Viewed by 1802
Abstract
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. The synaptic connections, rates and inputs are synchronized to obtain the convergence of [...] Read more.
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. The synaptic connections, rates and inputs are synchronized to obtain the convergence of outputs on the compact subsets of the real axis. The existence, uniqueness, and exponential stability of such motions are discussed. The method of included intervals and the contraction mapping principle are applied to attain the theoretical results. In addition to the analysis, we have provided strong simulation arguments, considering that all the assumed conditions are satisfied. It is shown how a new parameter, degree of periodicity, affects the dynamics of the neural network. Full article
(This article belongs to the Special Issue Dynamical Systems, Differential Equations and Applications)
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