Estimate of the number of equilibria in continuous-time Hopfield neural networks
Yujian Li · 2002
A new method is developed to estimate the number of equilibria in continuous-time Hopfield (1982, 1984) neural dynamic systems. By this new method, the number of equilibria in (S) is described clearly when the connection matrix T is upper trigonal, namely, T/sub ij/=0 (i>j). Furthermore, it is reasonably conjectured that if T is an arbitrary real matrix, the total number of equilibria in (GS) is no greater than 3/sup a/ and the total number of asymptotically stable equilibria in (GS) is no greater than 2".