Existence and stability of equilibria of the continuous-time Hopfield neural network

DOI10.1016/j.cam.2003.11.014zbMath1057.34050OpenAlexW2054708090MaRDI QIDQ1877200

Qin Zhang, Changping Wang, Shi-hua Chen

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.11.014

zbMATH Keywords

Hopfield neural networkexistence and uniqueness of an equilibriumglobal and asymptotic stability

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

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A DELAY-DEPENDENT APPROACH TO ROBUST PASSIVITY ANALYSIS FOR TAKAGI-SUGENO FUZZY UNCERTAIN RECURRENT NEURAL NETWORKS WITH MIXED INTERVAL TIME-VARYING DELAYS ⋮ Configurations of steady states for Hopfield-type neural networks ⋮ Solving ill-posed problems faster using fractional-order Hopfield neural network ⋮ Existence and exponential stability of periodic solutions for cellular neural networks with time-varying delays ⋮ Existence of periodic solutions for cellular neural networks with complex deviating arguments ⋮ Periodic solutions for a two-neuron network with delays ⋮ Existence and uniqueness of positive solutions of a system of nonlinear algebraic equations ⋮ Periodic solutions for a two-neuron network with delays ⋮ Stability analysis of uncertain fuzzy Hopfield neural networks with time delays

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• Neural networks and physical systems with emergent collective computational abilities.
• Neurons with graded response have collective computational properties like those of two-state neurons.
• Hopfield neural networks for optimization: Study of the different dynamics

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