Stability in a model of a delayed neural network |
| |
Authors: | Jacques Bélair |
| |
Affiliation: | (1) Département de mathématiques et statistique and Centre de recherches mathématiques, Université de Montréal, C.P. 6128-A, H3C 3J7 Montréal, Québec, Canada;(2) Centre for Nonlinear Dynamics in Physiology and Medicine, McGill University, Montréal, Québec, Canada |
| |
Abstract: | The stability of the null solution in a system of coupled cells is investigated. Each cell evolves according to Hopfield's equation for an analog circuit, with a delay incorporated to account for finite switching speed of amplifiers. A necessary and sufficient condition on the connection matrix is obtained for delay-induced oscillations to be possible in a general (not necessarily symmetric) network. |
| |
Keywords: | Neural networks time delays oscillations |
本文献已被 SpringerLink 等数据库收录! |
|