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Neural Computation, Vol 8, 1731-1742, Copyright © 1996 by The MIT Press

ARTICLES

Singular perturbation analysis of competitive neural networks with different time scales

A Meyer-Base, F Ohl and H Scheich
Institute for Flight Mechanics and Control, Darmstadt, Germany.

The dynamics of complex neural networks must include the aspects of long- and short-term memory. The behavior of the network is characterized by an equation of neural activity as a fast phenomenon and an equation of synaptic modification as a slow part of the neural system. The main idea of this paper is to apply a stability analysis method of fixed points of the combined activity and weight dynamics for a special class of competitive neural networks. We present a quadratic- type Lyapunov function for the flow of a competitive neural system with fast and slow dynamic variables as a global stability method and a modality of detecting the local stability behavior around individual equilibrium points.




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J COGNITIVE NEUROSCIENCE NEURAL COMPUTATION MIT PRESS JOURNALS
Copyright © 1996 by The MIT Press.