A Phasor Model with Resting States

Teruyuki MIYAJIMA  Fumihito BAISHO  Kazuo YAMANAKA  Kazuhiko NAKAMURA  Masahiro AGU 

Publication
IEICE TRANSACTIONS on Information and Systems  Vol.E83-D  No.2  pp.299-301
Publication Date: 2000/02/20
Online ISSN: 
Print ISSN: 0916-8532
Type of Manuscript: LETTER
Category: Biocybernetics, Neurocomputing
Keyword: 
neural networksassociative memorycomplex-valued neuronstability analysisLyapunov theory

Full Text: PDF(140.7KB)


Summary: 
A new phasor model of neural networks is proposed in which the state of each neuron possibly takes the value at the origin as well as on the unit circle. A stability property of equilibria is studied in association with the energy landscape. It is shown that a simple condition guarantees an equilibrium to be asymptotically stable.