Attractive Periodic Sets in Discrete-Time Recurrent Networks (with Emphasis on Fixed-Point Stability and Bifurcations in Two-Neuron Networks)

DOI10.1162/08997660152002898zbMath0963.68646OpenAlexW2144166812WikidataQ52061630 ScholiaQ52061630MaRDI QIDQ2723312

Peter Tiňo, Bill G. Horne, C. Lee Giles

Publication date: 5 July 2001

Published in: Neural Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1162/08997660152002898

zbMATH Keywords

recurrent neural networks

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Computing methodologies and applications (68U99)

Related Items (8)

New Approach of Recurrent Neural Network Weight Initialization ⋮ Architectural Bias in Recurrent Neural Networks: Fractal Analysis ⋮ Codimension-2 parameter space structure of continuous-time recurrent neural networks ⋮ Hopf bifurcation stability in Hopfield neural networks ⋮ Dynamical Analysis of Continuous Higher-Order Hopfield Networks for Combinatorial Optimization ⋮ Delay-independent exponential stability of recurrent neural networks ⋮ A new stability criterion for discrete-time neural networks: Nonlinear spectral radius ⋮ Parameter Space Structure of Continuous-Time Recurrent Neural Networks

Cites Work

• Bifurcation analysis of a neural network model
• Discrete dynamics of two neuron networks
• Neurons with graded response have collective computational properties like those of two-state neurons.

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