Journal
SIAM JOURNAL ON APPLIED MATHEMATICS
Volume 66, Issue 4, Pages 1301-1320Publisher
SIAM PUBLICATIONS
DOI: 10.1137/050632440
Keywords
neural network; multistability; delay equations
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Stable stationary solutions correspond to memory capacity in the application of associative memory for neural networks. In this presentation, existence of multiple stable stationary solutions for Hopfield-type neural networks with delay and without delay is investigated. Basins of attraction for these stationary solutions are also estimated. Such a scenario of dynamics is established through formulating parameter conditions based on a geometrical setting. The present theory is demonstrated by two numerical simulations on the Hopfield neural networks with delays.
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