Part of Advances in Neural Information Processing Systems 8 (NIPS 1995)
The dynamics of complex neural networks modelling the self(cid:173) organization process in cortical maps must include the aspects of long and short-term memory. The behaviour of the network is such characterized by an equation of neural activity as a fast phenom(cid:173) enon and an equation of synaptic modification as a slow part of the neural system. We present a quadratic-type Lyapunov function for the flow of a competitive neural system with fast and slow dynamic variables. We also show the consequences of the stability analysis on the neural net parameters.