Neural networks with an infinite number of cells

DOI10.1016/S0022-0396(02)00040-2OpenAlexW2003631608MaRDI QIDQ2694811

Bruce D. Calvert

Publication date: 4 April 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00040-2

zbMATH Keywords

Cauchy problemneural networkdissipative

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear differential equations in abstract spaces (34G20)

Cites Work

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• Traveling waves in lattice dynamical systems
• Global asymptotic stability for a linear system in a saturated mode
• Analysis and synthesis of a class of neural networks: linear systems operating on a closed hypercube
• <tex>L_infty</tex>-stability criteria for interconnected systems using exponential weighting
• Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
• Influence of boundary conditions on the behavior of cellular neural networks
• An approach to information propagation in 1-D cellular neural networks. II. Global propagation
• An approach to information propagation in 1-D cellular neural networks-Part I: Local diffusion
• Operating points in infinite nonlinear networks approximated by finite networks
• Neurons with graded response have collective computational properties like those of two-state neurons.

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