Multistability in Recurrent Neural Networks
Chang‐Yuan Cheng, Kuang-Hui Lin, Chih-Wen Shih · SIAM Journal on Applied Mathematics · 2006
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.