On equilibria, stability, and instability of Hopfield neural networks

2000/03/01 by Zhi-Hong Guan, Zhi‐Hong Guan, G. Chen +2 · 1 citation
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Neural Networks Stability and Synchronization #Neural Networks and Applications

paper · doi:10.1109/72.839023

openalex publication_date 2000/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Existence and uniqueness of equilibrium, as well as its stability and instability, of a continuous-time Hopfield neural network are studied. A set of new and simple sufficient conditions are derived.

Citations

• Stability analysis of dynamical neural networks

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• A general backpropagation algorithm for feedforward neural networks learning