Stability of quasi-periodic orbit in Discrete Recurrent Neural Network
- R. L. Marichal 1
- J. D. Piñeiro 1
- L. Moreno 1
- E. J. González 1
- J. Sigut 1
- S. Alayón 1
-
1
Universidad de La Laguna
info
Editorial: World Scientific and Engineering Academy and Society (WSEAS)
ISBN: 960-8457-37-8
Año de publicación: 2005
Páginas: 586-591
Tipo: Aportación congreso
Resumen
A simple discrete recurrent neural network model is considered. The local stability is analyzed withthe associated characteristic model. In order to study the quasi-periodic orbit dynamic behavior, it is necessary todeterminate the Neimark-Sacker bifurcation. In the case of two neurons, one necessary condition that producesthe Neimark-Sacker bifurcation is found. In addition to this, the stability and direction of the Neimark-Sacker aredetermined by applying the normal form theory and the center manifold theorem. An example is given andnumerical simulation are performed to illustrate the obtained results. The phase-locking is analyzed given someexperimental result of Arnold Tongue in determinate weight configuration.
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