A bifurcation analysis of the four dimensional generalized Hopfield neural network
Physica D Nonlinear PhenomenaPublished 1 November 1995
Pranab K. Das, William C. Schieve
Citations19
SJR quartileQ1
SJR score0.94
SNIP1.39
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TL;DR
A four neuron Hopfield neural network with asymmetric weights and self-connection, seen to have a large memory storage capacity with both fixed point and periodic memories coexisting, is analyzed.
Abstract
A four neuron Hopfield neural network with asymmetric weights and self-connection is analyzed. Its stable steady state and periodic attractors are identified and a complete bifurcation diagram is constructed. A center manifold reduction is undertaken and by means of normal form theory, the characteristics of the limit cycles are obtained. The network is seen to have a large memory storage capacity with both fixed point and periodic memories coexisting. The onset of chaos as reported previously is considered.
Keywords
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