Numerical solutions of distributed diffusion Hopfield neural network equations

DOI10.1016/j.amc.2005.05.040zbMath1090.65111OpenAlexW2048906206MaRDI QIDQ2489373

Shin-ichi Nakagiri, Quan-Fang Wang

Publication date: 16 May 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.05.040

zbMATH Keywords

stabilityfinite element methodnumerical examplesRunge-Kutta methodGauss-Legendre quadraturesemi-discrete algorithmHopfield-type neural network equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

Computation issue of pointwise controls for diffusion Hopfield neural network system ⋮ Sensitivity of optimal control for diffusion Hopfield neural network in the presence of perturbation

Cites Work

• Collective Computation With Continuous Variables
• New conditions for global stability of neural networks with application to linear and quadratic programming problems
• Numerical analysis of the learning of fuzzified neural networks from fuzzy if-then rules
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