Two neuron dynamics and adiabatic elimination

DOI10.1016/0167-2789(93)90207-HzbMath0785.92007OpenAlexW2068556069MaRDI QIDQ1312503

Zhaojue Zeng, Pranab K. II Das, William C. Schieve

Publication date: 9 February 1994

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

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90207-h

zbMATH Keywords

limit cycleHopfield modelself-interactionadiabatic eliminationeffective neuron networknon-zero attractorsslaving procedure

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Neural nets applied to problems in time-dependent statistical mechanics (82C32)

Related Items (6)

Dynamics of an inertial two-neuron system with time delay ⋮ A bifurcation analysis of the four dimensional generalized Hopfield neural network ⋮ Stability and chaos in an inertial two-neuron system ⋮ Codimension-2 parameter space structure of continuous-time recurrent neural networks ⋮ Slow-fast dynamics of tri-neuron Hopfield neural network with two timescales ⋮ Parameter Space Structure of Continuous-Time Recurrent Neural Networks

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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.

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