Mean-field equations, bifurcation map and route to chaos in discrete time neural networks

DOI10.1016/0167-2789(94)90024-8zbMath0808.92006OpenAlexW1998373030WikidataQ98839663 ScholiaQ98839663MaRDI QIDQ1342184

V. Pereyra

Publication date: 15 March 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90024-8

zbMATH Keywords

chaosquasi-periodicitybifurcation maprefractory periodsasymmetric synaptic weightslow firing rateslow gain dynamicsmean- field equationsrandom thresholds

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• A limit theorem for the norm of random matrices
• Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
• On the nature of turbulence
• Almost Sure Stable Oscillations in a Large System of Randomly Coupled Equations
• CONTROL OF THE TRANSITION TO CHAOS IN NEURAL NETWORKS WITH RANDOM CONNECTIVITY
• Quantitative study of attractor neural network retrieving at low spike rates: I. substrate—spikes, rates and neuronal gain
• Characteristics of Random Nets of Analog Neuron-Like Elements

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