Multistability for Delayed Hopfield-type Neural Netowrks

• Main Authors: Kuang-Hui Lin, 林光暉
• Other Authors: Chih-Wen Shih
• Format: Others
• Language: zh-TW
• Published: 2005
• Online Access: http://ndltd.ncl.edu.tw/handle/69682089415346201465

碩士 === 國立交通大學 === 應用數學系所 === 93 === The number of stable stationary solutions corresponds to the memory capacity for the neural networks. In this presentation, we investigate existence and stability of multiple stationary solutions and multiple periodic solutionsfor Hopfield-type neural networks with and without delays. Their associated basins of attraction are also estimated. Such a convergent dynamical behavior is established through formulating parameter conditions based on a suitable geometrical setting. Finally, two examples are given to illustrate our main results.