A bifurcation analysis of the four dimensional generalized Hopfield neural network

DOI10.1016/0167-2789(95)00074-EzbMath0894.58048OpenAlexW2046393250MaRDI QIDQ1900849

Pranab K. II Das, William C. Schieve

Publication date: 24 October 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00074-e

zbMATH Keywords

chaoslimit cyclesnormal formbifurcation diagramasymmetric weightsfour neuron Hopfield neural networkself-connection

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

Stability and chaos in an inertial two-neuron system ⋮ Delay-dependent stochastic stability of delayed Hopfield neural networks with Markovian jump parameters ⋮ ${{ \mathcal H }}_{\infty }$ synchronization of chaotic Hopfield networks with time-varying delay: a resilient DOF control approach ⋮ Slow-fast dynamics of tri-neuron Hopfield neural network with two timescales ⋮ Chaos in a three dimensional neural network

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• Fixed-point attractors in analog neural computation
• Neural networks and physical systems with emergent collective computational abilities.
• Neurons with graded response have collective computational properties like those of two-state neurons.

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