DocumentCode
3254749
Title
Quadratic-type Lyapunov functions for competitive neural networks with different time-scales
Author
Meyer-Bäse, Anke ; Ohl, Frank ; Scheich, Henning
Author_Institution
Federal Inst. for Neurobiol., Magdeburg, Germany
Volume
6
fYear
1995
fDate
Nov/Dec 1995
Firstpage
3210
Abstract
The dynamics of complex neural networks must include the aspects of long and short-term memory. The behaviour of the network is characterized by an equation of neural activity as a fast phenomenon and by 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
Keywords
Hebbian learning; Lyapunov methods; asymptotic stability; circuit stability; neural nets; nonlinear systems; singularly perturbed systems; Hebbian learning; asymptotic stability; competitive neural networks; complex neural networks; dynamics; nonlinear singularly perturbed systems; quadratic-type Lyapunov functions; synaptic modification; time-scales; Asymptotic stability; Convergence; Differential equations; Fluid dynamics; Hebbian theory; Large-scale systems; Lyapunov method; Neural networks; Neurons; Spatiotemporal phenomena;
fLanguage
English
Publisher
ieee
Conference_Titel
Neural Networks, 1995. Proceedings., IEEE International Conference on
Conference_Location
Perth, WA
Print_ISBN
0-7803-2768-3
Type
conf
DOI
10.1109/ICNN.1995.487299
Filename
487299
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