An application of neurohydrodynamics to a Hopfield neural network

Hardy, Leon

doi:10.1109/ijcnn.2015.7280359

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2020

2024

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“…[42]), neurohydrodynamics and Hydraulic (see, e.g. [30,52]). Memoristic Hopfield neural network was considered in [39], and also used in harmonic current estimation [13] and self-modeling [54].…”

Section: Introductionmentioning

confidence: 99%

Upper semi-continuous convergence of attractors for a Hopfield-type lattice model

2020

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To investigate dynamical behavior of the Hopfield neural network model when its dimension becomes increasingly large, a Hopfield-type lattice system is developed as the infinite dimensional extension of the classical Hopfield model. The existence of global attractors is established for both the lattice system and its finite dimensional approximations. Moreover, the global attractors for the finite dimensional approximations are shown to converge to the attractor for the infinite dimensional lattice system upper semi-continuously.

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