標題: Multistability in recurrent neural networks
作者: Cheng, CY
Lin, KH
Shih, CW
應用數學系
Department of Applied Mathematics
關鍵字: neural network;multistability;delay equations
公開日期: 2006
摘要: 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.
URI: http://hdl.handle.net/11536/12771
http://dx.doi.org/10.1137/050632440
ISSN: 0036-1399
DOI: 10.1137/050632440
期刊: SIAM JOURNAL ON APPLIED MATHEMATICS
Volume: 66
Issue: 4
起始頁: 1301
結束頁: 1320
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