Nonuniform behavior and stability of Hopfield neural networks with delay

DOI10.1088/1361-6544/aa773bzbMath1380.39020arXiv1504.04318OpenAlexW2962901741MaRDI QIDQ5350517

José J. Oliveira, César M. Silva, António J. G. Bento

Publication date: 1 September 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04318

zbMATH Keywords

asymptotic stabilityperiodic solutionBanach's fixed point theoremdiscrete neural networknonautonomous delay equation

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30) Applications of difference equations (39A60)

Related Items (6)

Global exponential stability of discrete-time Hopfield neural network models with unbounded delays ⋮ Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms ⋮ Backward stability and divided invariance of an attractor for the delayed Navier-Stokes equation ⋮ Approximation of mild solutions of delay differential equations on Banach spaces ⋮ Periodic dynamics for nonlocal Hopfield neural networks with random initial data ⋮ Stability analysis of Hopfield neural networks with unbounded delay driven by G-Brownian motion

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